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I. Leasing Real Estate
A. Definition - LeaseII. Leasehold Estates (see Figure 16.1)1. A contract between owner of real estate (lessor) and tenant (lessee) to transfer rights of exclusive possession and use in exchange for the payment of rent and other obligationsB. Statute of Frauds (Consult your local laws)
2. The owner retains the reversionary right to possession.
3. Lessor’s interest is now a leased fee plus a reversionary right.1. In most states, to be enforceable, a lease for more than one year must be in writing.C. In Practice: The best practice for the protection of all parties is to use written leases. Any written agreement must be signed by both parties.
2. A lease that can be performed in a lesser period of time is usually enforceable in court even if it is oral.
A. Estate for years (Tenancy for years)III. Lease Agreements (See Figure 16.2)1. Continues for a definite period of time, regardless of how longB. Estate from period to period (Periodic tenancy)
2. Specific beginning and ending dates
3. No notice is required to terminate
4. Does not automatically renew1. Exists for a fixed period of time but automatically renews itselfC. Estate at will (Tenancy at will)
2. The payment and acceptance of the rent extends the lease for another period.
3. Proper notice must be given to terminate the lease.
4. Holdover tenancya. created when tenant with estate for years remains in possession.
b. landlord may evict or treat holdover tenant as one who has periodic tenancy.1. Exists with the consent of the landlordD. Estate at sufferance (Tenancy at sufferance)
2. Usually informal and oral
3. Indefinite in length
4. Proper notice must be given to terminate
5. Automatically terminates at the death of either party1. Created when the tenant who legally obtained the possession of the property now illegally remains in possession
2. Exists without the consent of the landlord
3. Examplesa. Tenant whose lease has expired but refuses to move out
b. Owner whose property has been foreclosed but refuses to vacate the premises
c. Owner whose property has been taken under eminent domain but refuses to leave
A. Requirements (essential elements) of a valid leaseVI. Types of Leases (see Figure 16.3)1. Offer and acceptance*meeting of the minds of the partiesB. A complete description of the premises should be clearly stated, including specific facilities included in the lease.
2. Consideration*usually rent but can be labor or other services
3. Capacity to contract*all parties must be legally competent
4. Legal objectives*intent of the contract must be legal1. Preprinted lease agreements better suited for residential propertyC. Possession of premises.
2. commercial lease more complex, legal counsel should be consulted.1. The covenant of quiet enjoyment for the tenant is implied by law regardless of whether addressed in the lease.D. Use of premises*if the use is to be limited in any manner, that use must be specifically stated in the lease.
2. Landlord is allowed to enter property with tenant’s permission.
E. Term of lease*dates should be stated precisely
F. Security deposit (consult your local laws)1. Held by the landlord during the leaseG. Improvements
2. Applied to unpaid rent or repairs
3. State or local law may set minimums or maximums
4. In Practice: The lease should specify whether such funds are security deposits or advance payments of rent.1. Generally, neither party is required to make improvements.H. Maintenance of premises
2. The tenant may make improvements with permission.
3. Any trade fixtures should be identified in the lease.
4. Accessibility
a. Federal Fair Housing Act (see Chapter 21) makes it illegal to discriminate on basis of physical disabilities. Tenants may make reasonable modifications to property but must restore at end of lease term.
b. American with Disabilities Act (ADA) applies to commercial, nonresidential property; requires they be free of architectural barriers or provide reasonable accommodations for people with disabilities.1. Historically, the landlord is not obligated to make repairs.I. Destruction of premises
2. Under current landlord-tenant laws, some jurisdictions require landlords to make repairs on residential units to keep them in habitable condition and maintain the common areas.
3. The tenant must return the premises in the same condition as received, except for ordinary wear and tear.1. The tenant is obligated to pay rent if the improvements are destroyed whenJ. Assignment and subleasing (see Figure 16.2)a. The property is agricultural land2. If part of a building is destroyed, the tenant is usually not required to continue to pay rent.
b. In most states, the lease is a ground lease
c. In some cases, the tenant rents an entire building
3. In Practice: Destruction of the premises should be addressed in the lease.1. Can be prohibited by the terms of the leaseK Recording a lease
2. Assignment is the transfer of all of the tenant's interest.
3. Subleasing is the transfer of part of the tenant's interest.
4. Either may require the lessor's consent.
5. The tenant/sublessor's interest in a sublease is known as a sandwich lease.1. Recording*varies according to state laws and the length of the lease; leases of three years or longer generally are recorded.L. Options
2. Possession of leased premises*state law generally governs whether the landlord must give the tenant actual possession or only the right of possession.
3. In some states. only a memorandum of lease is recorded.1. The privilege of renewing or extending the lease or purchasing the property at a predetermined price and time
2. The tenant must give notice of intention to exercise the option.
3. The lease is the primary consideration, the option is secondary.
A. Gross leaseV. Discharge of Lease1. The tenant pays a fixed rental amount.B. Net lease
2. The landlord pays all of the property charges.
3. The result is a gross income to the landlord.
4. Most often used for residential apartment rentals (may differ by local custom)1. The tenant pays a fixed rental amount.C. Percentage lease
2. The tenant also pays some or all of the property charges (net or double- net or triple-net)
3. The result is a net income to the landlord.
4. Generally used for all non-residential property leases.1. The tenant pays a fixed amount of rent plus a percentage of the gross income of the business.D. Other lease types
2. The percentage and basis agreed to between the parties
3. Most commonly used in retail locations
4. Specifics vary with the type of business and its location
5. Math Concept: Calculating percentage lease rents1. Variable leases*provide for increases in rent during the lease perioda. Graduated lease*provides for increases in rent at set futuredates in specified amounts2. Ground lease
b. Index lease*periodic increase or decrease in rent based on changes in some economic indexa. Usually involves separate ownership of land and buildings3. Oil and gas lease
b. Allows the tenant to construct a building on land that he or she does not own and use the premises thereafter
c. Generally set up as a net lease
d. Typically for 50 years or morea. The owner receives cash for giving exploration rights.4. Lease-purchase
b. If petroleum is found, the owner usually receives one-eighth of its value as a royalty.a. The tenant leases the property in advance of its purchase usually for tax or financing reasons.5. Agricultural lease
b. The purchase is the primary consideration, the lease is secondary.a. Rent can be paid by the tenant in advance (cash rents).
b. The tenant and owner can share the profits from the sale of the crop when it is sold (sharecropping).
A. TerminationV. Civil Rights Laws (See Chapter 20)1. No notice is required to terminate a tenancy for years.B. Breach of lease
2. The parties can mutually agree to cancel the lease.
3. The tenant may surrender the leasehold interest if the landlord is willing to accept it.
4. A tenant who abandons the property is still liable for the terms of the lease, including rent payments.
5. When the owner of leased property dies or the property is sold, the lease does not terminate except fora. A lease from the owner of a life estate6. Oral and written leases without specific expiration dates require proper notice to terminate as required by law.
b. The death of either party to a tenancy at will
c. A sale clause in the lease
7. If a lease is breached, it may be terminated by according to state law.1. If the tenant breaches the lease, the landlord may sue for overdue rent, damages to the premises or other defaults.C. Pro-tenant legislation
2. Suit for possession*actual evictiona. The landlord must serve notice to the tenant; the number of days varies according to law.3. Tenants' remedies*constructive eviction
b. If the tenant does not leave peaceably, the court may have the tenant and his or her possessions forcibly removed.a. If the landlord breaches the lease, the tenant has the right to sue for damages.
b. The tenant may abandon the premises if(1) The landlord's action or inaction has rendered the premises uninhabitable.
(2) The tenant must remove himself or herself because of the premises not being usable.1. Uniform Residential Landlord and Tenant Acta. The result of consumer awareness2. Tenants' Eviction Procedures Act of 1976
b. Adopted in whole or in part by most states
c. Provides that both parties have certain obligations
d. Provides state-specific remedies for both partiesa. Applies to government-owned and government-subsidized units and those with government-backed mortgage loans.
b. Does not supersede state laws
c. Provides recourse for tenants in states that have no such laws
A. Fair Housing Laws1. To ensure that all persons have access to housing of their choice, including rentals, within their ability to pay, without differentiation in terms and conditions, because of their:race2. Changes in 1988 have significant impact on rental practices.
color
religion
sex
familial status
handicap
national origin (consult local laws for additional protected classes)a. Protections for people with disabilities3. Examples: cannot segregate individuals in sections of a complex; must allow people with disabilities to alter the premises; cannot charge different amounts of rent or security deposit
b. Protections for families with children
I. The Property Manager
A. Property management*a specialized professionII. Management Functions*in accordance with the management agreement1. Responsible for the fiscal, physical and administrative managementB. Preserve the value of an investment property while generating income as an agent for the owner. Accomplished by1. Securing suitable tenantsC. Securing management business
2. Collecting the rents
3. Caring for the premises
4. Budgeting and controlling expenses
5. Hiring and supervising employees
6. Keeping proper accounts
7. Making periodic reports to the owner1. Sources of businessD. The management agreement (see Figure 17.1)a. corporate owners2. Determine owners have realistic expectations
b. apartment developers and landlords
c. condominium associations
d. homeowners’ associations
e. investment syndicates
f. trusts
g. absentee owners1. Description of the property
2. Time period the agreement will cover
3. Definition of management's responsibilities
4. Statement of owner’s purpose
5. Extent of manager's authority as an agent
6. Reporting*frequency and detail
7. Management fee*a negotiable percent or flat fee or both
8. Allocation of costs
9. Math Concept: Rental Commissions
A. Budgeting expenses The professional property manager should be certain that the building owner has realistic income expectations and is willing to spend money on necessary maintenance.IV. The management profession1. The budget should be based on anticipated revenues and expenses.B. Capital expenditures
2. Fixed expenses includea. Employees' salaries3. Variable expenses include
b. Real estate taxes and insurance premiumsa. Repairs
b. Decorating
c. Supplies1. Funds should be set aside for renovations if they will enhance the value of the property over the long term.C. Renting the property
2. Life cycle costing*the cost of renovation or equipment to be installed must be evaluated over its useful life, including the initial and future operating costs.1. Using an in-house service assures control.D. Setting rental rates
2. Using a leasing agent may increase the manager's liability.1. Must cover fixed charges and operating expenses as well as provide a fair return on the investmentE. Selecting tenants
2. Must consider the prevailing rates in comparable buildings
3. Must consider the current level of vacancy in the property to be renteda. high vacancy level may indicate poor management.
b. A high occupancy level may indicate rents are too low.
c. Math Concept: Calculating monthly rent per square foot1. The size of the space meets the tenant's requirementsF. Collecting rents
2. The tenant has the ability to pay
3. The tenant's business will be compatible with the building and with the other tenants.
4. If the tenant is likely to expand in the future, expansion space will be available.
5. Landlord must comply with applicable fair housing laws and ADA.1. Select tenants carefully.G. Maintaining good relations with tenants
2. Substantiate their ability to pay through their financial references.
3. Maintain a firm and consistent collection plan.1. Keeping tenants satisfied minimizes turnover and expenses for the landlord.H. Maintaining the property
2. A good property manager willa. Use tangible and intangible benefits to keep tenants happy
b. Ensure that maintenance requests are attended to promptly
c. Enforce all lease terms and building rules fairly
d. Keep accurate records regarding rental payments and lease expirations1. The property manager must balance the service requirements of the property with the costs they entail.I. Handling environmental hazards
2. The physical integrity of the property must be protected.a. Preventive maintenance*regularly scheduled activities to maintain the structure3. Hiring employees versus contracting for service*decision based on the size of the building, complexity of the requirements and availability of suitable labor
b. Repair or corrective maintenance*fixing items that are broken
c. Routine maintenance*routine cleaning and repairs
d. Construction*in non-residential properties, the alterations to make tenant improvements
4. Tenant improvements: major alterations to meet commercial or industrial property tenant needs.1. Be aware of the possible environmental hazards (asbestos, formaldehide,….)J. The American with Disabilities Act
2. May arrange an environmental audit
3. Must provide proper disposal of waste
4. May have to provide facilities for recycling1. Adopting nondiscriminatory employment procedures (by July 26, 1994 if have 15 or more employees)III. Risk managementa. Recruitment, interviewing, selection, hiring, promotion, termination etc.2. Ensuring access to services and facilities for people with disabilities (See Figure 17.1)
b. Providing reasonable accommodations to enable a person with a disability to perform essential job functionsa. Conducting a building audit to determine compliance with ADA
b. Preparing and executing a plan to retrofit or restructure a building that is not in compliance
c. Removing barriers and providing accommodations when they can be accomplished in a readily achievable manner
A. The property manager must evaluate the perils of any risk by deciding to1. Avoid it by removing the source of the riskB. Security of tenants
2. Control it by taking preventive measures
3. Transfer it by taking out an insurance policy
4. Retain it by insuring with a large deductible1. Recent court decisions held landlords and their agents responsible for physical harm inflicted on tenants by intruders.C. Types of insurance coverage
2. Property managers should evaluate measures to protect tenants from unauthorized entry to building and secure individual apartments.1. Fire and hazard*can be extended to cover windstorm, hail, smoke damage and civil insurrectionD. Claims
2. Consequential loss, use and occupancy*covers the loss of revenue if the property cannot be used to produce income
3. Contents and personal property*covers contents and personal property when they are not physically located on the premises
4. Liabilitya. Public liability*protects the public while on the premises5. Casualty*usually written to cover a specific risk, it can cover theft, burglary, vandalism, machinery damage and health and accident
b. Workers' compensation*protects employees while they work either under a state program or a private insurance policy
6. Surety bonds*cover an owner against financial loss resulting from an employee's criminal acts or negligence
7. Multiperil policies*comprehensive packaged insurance program1. May be based on depreciated actual or cash value
2. May be based on current replacement cost
3. Commercial policies usually include coinsurance clauses
A. The Institute of Real Estate Management (IREM)
B. The Building Owners and Managers Association International (BOMA)
A. Appraisal*opinion of value or a supportable estimate of valueII. Value*the monetary worth arising from the ownership of a desired object
B. Regulation of appraisal activities. With the passage of the Financial Institutions Reform, Recovery, and Enforcement Act of 1989 (FIRREA), appraisals performed as part of a federally related transaction as of January 1, 1993 must be performed by a state-licensed or state-certified appraiser.1. Federally related transaction is any real estate-related financial transaction in which a federal financial institution or regulatory agency engages.C. Competitive market analysis (CMA)
2. Residential property at $250,000 or less and commercial valued at $1
million are exempt.1. Real estate licensees must be familiar with appraisal techniques to perform a competitive market analysis (CMA) when assisting a seller to set the listing price for a property.
2. CMA not an appraisal.
A. Characteristics of value ("DUST")III. The Three Approaches to Value1. Demand*the need or desire for possession or ownership backed by the financial means to satisfy that needB. Market value
2. Utility*the capacity to satisfy human needs and desires
3. Scarcity*a finite or limited supply
4. Transferability*the relative ease with which ownership rights can be transferred1. The most probable price a property will bring in a fair sale.C. Market value versus market pricea. In a competitive and open market2. Essential to determine market value
b. The buyer and seller are each acting prudently, knowledgeably and without undue influence.
c. price not affected by unusual circumstances.a. The most probable price is not average or highest price
b. The buyer and seller must be unrelated and acting withoutundue pressure.
c. Both the buyer and the seller must be well informed of the property's use and potential, including its assets and defects.
d. A reasonable length of time must be allowed for the property to be exposed in the open market
e. Consideration paid in cash or its equivalent
f. Price must represent a normal consideration, unaffected by special financing1. Market value*an estimate based on the analysis of comparable sales and other pertinent market dataD. Market value versus cost
2. Market price*what the property actually sold for; sales price1. Common misconceptions that cost represents market value.E. Basic principles of value*primarily economic principles
2. Cost and market value may be the same if improvements are new1. Anticipation*value can increase or decrease if one anticipates some future benefit or detriment from the property.
2. Change*no physical or economic condition remains constant.
3. Competition*excess profits tend to attract competition.
4. Conformity*maximum value is realized if the use of the land conformsto existing neighborhood standards.
5. Contribution*the value of any component of a property is what its addition contributes to the value of the whole or what its absence detracts from the value of the whole.
6. Highest and best use*the most profitable single use to which a property can be adapted. Must be:a. legally permitted7. Increasing and diminishing returns*improvements to land and structures will eventually reach a point at which they will no longer have a positive effect on property value.
b. financially feasible
c. physically possible
d. maximally productive
8. Plottage*the merging or consolidation of adjacent lots held by separate owners into one larger lot may produce a higher total value than the sum of the two lots valued separately.
9. Regression and progression*between dissimilar properties, the worth of the better property is affected adversely by the presence of the lesser-quality property; usually, the higher valued property decreases significantly, while the lesser-valued property increases slightly.
10. Substitution*the maximum value of a property tends to be set by the cost of purchasing an equally desirable replacement.
11. Supply and demand. Principle says value depends ona. number of properties available in marketplace
b. prices of other properties
c. number of purchasers
d. price buyers willing to pay
A. The sales comparison approach (see Table 18.1)IV. The Appraisal Process (See Figure 18.1)1. An estimate of value is obtained by comparing the subject property (the property under appraisal) with recently sold comparable properties (properties similar to the subject).B. The cost approach (see Table 18.2)
2. The factors for which adjustments to the comparable properties are madea. Property rights*in cases where less than the full bundle of rights is involved3. A dollar value or percentage adjustment is assigned to each difference between the subject property and the comparable properties.
b. Financing concessions*events such as differences in mortgage loan terms or owner financing
c. Conditions of sale*motivational factors such as foreclosure or a sale between family members
d. Date of sale*changes in economic conditions between the date of the sale of the comparable property and the date of the appraisal
e. Location*compensate for locational or neighborhood differences
f. Physical features and amenities*physical difbetween the comparable properties and the subject
4. Adjustments are made as followsa. If the comparable property is better than the subject property or has a feature that the subject property lacks, the value of the comparable is decreased accordingly.
b. If the comparable property is not as good as the subject property or lacks a feature that the subject property has, the value of the comparable is increased accordingly.1. Steps in the cost approach to valueC. The income approach*based on the present value of the rights to future income (see Table 18.3)a. Estimate the value of the land as if it were vacant and available to be put to its highest and best use.2. Reproduction cost versus replacement cost
b. Estimate the current cost of constructing the building(s).
c. Estimate the amount of accrued depreciation resulting from physical deterioration, functional obsolescence and external obsolescence.
d. Deduct the accrued depreciation from the estimated construction cost of new building(s).
e. Add the estimated land value to the depreciated cost of the building(s) and site improvements to arrive at the total property value.a. Reproduction cost*the current cost of a duplicate of the subject property, including both the benefits and the negative features of the property3. Determining reproduction or replacement cost new
b. Replacement cost*the current cost of improvements with utility or function similar to the subject propertya. Square-foot method*based on the average cost-per-square-foot or cost-per-cubic-foot of recently built similar structures; also called the comparison method4. Depreciation
b. Unit-in-place method*replacement cost based on the installed costs of the structure's components; also called the segregated cost or the component cost method
c. Quantity survey method*the cost of the raw materials plus the cost of the construction labor plus indirect costs
d. Index method*a factor representing the percentage of increase or decrease in construction costs to the present time is applied to the original cost of the improvementsa. Physical deterioration*normal wear and tear5. Depreciation is usually calculated on a straight-line basis (age-life method), the assumption being that depreciation occurs at an even rate over the structure's economic life(1) Curable*repairs that are economically feasibleb. Functional obsolescence*outmoded items and poor design
(2) Incurable*repairs that are not economically feasible(1) Curable*outdated physical or design features that could bereplaced or redesigned economicallyc. External obsolescence*incurable, because it is caused by a problem external to the property and, therefore, beyond the property owner's control
(2) Incurable*outdated physical or design features that could not be replaced or redesigned economically or physically
6. Cost approach used for appraising newer or special-use buildings, such as schools, churches and public buildings.1. Income divided by rate equals value (IRV)D. Reconciliation*obtaining the final value estimate
2. Steps in the income approach to valuea. Estimate the annual potential gross income*income from all sources, including rent, concessions and vending3. Gross rent multipliers and gross income multipliers*informal substitutes for income capitalization (see Table 18.4)
b. Deduct for vacancies and collection losses ("bad debt") to obtain the effective gross income.
c. Deduct the annual operating expenses to obtain the net operating income; does not include(1) Debt service (principal and interest payments)d. Estimate the price an investor would pay for the income produced by this particular type and class of property.
(2) Depreciation (a non-cash expense)
(3) Capital expenditures/capital improvements
(4) The owner's personal income tax liability(1) Compare the annual net operating incomes of recently-sold similar properties toe. Apply the capitalization rate to the subject property's annual net operating income to obtain an estimated value.
(2) The sales price of those properties
(3) The annual net operating income divided by the sales price results in the capitalization ("cap") rate.a. Gross rent multiplier (GRM)(1) Used for single-family residences and duplexesb. Gross income multiplier (GIM)
(2) Based on the gross monthly rent of recently-sold similar properties
(3) The sales price divided by the gross monthly rent results in the gross rent multiplier(1) Used for non-residential income properties
(2) Based on the gross annual income (from all sources) of recently-sold similar properties
(3) The sales price divided by the gross annual income results in the gross income multiplier.
c. In Practice: Multipliers are of limited practical value.1. The three approaches to value usually produce three different indications of value.
2. All three should be used in estimating the final value.
3. The three indications of value should not be averaged.
4. Depending on type of property, one approach would be given more weight than others.
A. State the problem*what type of value is being sought?V. The Uniform Residential Appraisal Report (see Figure 18.2)
B. List the data needed and the sources.
C. Gather, record and verify the necessary data.1. General data*national, regional, city, and neighborhood data; data about factors not located on the propertyD. Determine the highest and best use of the site.
2. Specific data*data on the subject land and improvements
3. Both general data and specific data would include information regarding each of the three approaches to value.
E. Estimate the land value*usually by sales comparison analysis.
F. Estimate the value by each of the three approaches.
G. Reconcile the estimated values for the final value estimate.
H. Report the final value estimate.
I. Land Use Controls
A. Land use controlled by public and private restrictions and public ownership of land.II. The Comprehensive Plan*also called a master plan
B. The police power of the states is the inherent authority to create the regulations necessary to protect the public health, safety and welfare.
C. The states, in turn, allow local municipalities to make regulations that are consistent with the general laws.
A. Developed to ensure that social and economic needs are balanced against environmental and aesthetic concernsIII. Zoning
B. Provides the municipality with the goals and objectives for its future development1. Land use*that which is proposed for residential, industrial, business, agriculture, traffic and transit, utilities and common facilities, including recreation
2. Housing needs*that which is anticipated for future residents, including rehabilitation of declining neighborhoods and accommodation of new housing in different dwelling types for households in all income levels
3. Movement of people and goods*highways, public transit, parking, pedestrian and bikeway systems
4. Community facilities and utilities*education, libraries, hospitals, recreation, fire and police, water resources, sewerage and waste treatment, storm drainage and flood management
5. Energy conservation*reduction in energy consumption and promotion of renewable energy sources
A. Zoning ordinancesIV. Building Codes1. Are local laws that regulate the use of land and structures within designated zones, affecting items such asB. Zoning Objectivesa. permitted uses of each parcel of land2. Zoning is made possible by state enabling acts.
b. lot sizes
c. building height
d. setbacks
e. style and appearance of structures
f. density
g. protection of natural resources
3. No nationwide or statewide zoning ordinances1. Zoning classifications generally divide land uses intoa. Residential2. Buffer zones*such as parks and playgrounds, may be included to separate residential areas from non-residential areas
b. Commercial
c. Industrial
d. Agricultural
e. Multiple-use, such as planned unit developments (PUD)
3. Certain land use objectives can be achieved witha. Bulk zoning*to control density and avoid overcrowding4. Constitutional issues and zoning ordinances
b. Aesthetic zoning*to specify certain types of architecture
c. Incentive zoning*to ensure that certain types of use are incorporated into developmentsa. 14th Amendment prevents states from depriving “any person of life, liberty or property, without due process of law.5. Taking: 5th Amendment - “nor shall private property be taken for public use, without just compensation”.
b. The tests commonly applied in determining the validity of zoning ordinances require that(1) The power be exercised in a reasonable manner
(2) The provisions be clear and specific
(3) The ordinance be free from discrimination
(4) The ordinance promote public health, safety and welfare
(5) The ordinance apply to all property in a similar mannera. may be negotiated6. Zoning Permits.
b. “before and after method”
c. Downzoning may be found in court to be an unfair exercise of eminent domain.a. Zoning hearing boards*established to hear complaints about the effects zoning may have on specific parcels of property
b. Nonconforming use*generally applies to properties that conformed with the zoning before it was subsequently changed
c. Variance*a permanent exception to the zoning ordinance
d. Conditional-use permit*granted to a property owner to temporarily allow a special use that is in the public interest
A. Specify minimum construction standardsV. Subdivision
B. Require building permits and periodic construction inspections
C. Require the issuance of certificates of occupancy
A. Subdivision and land development ordinances part of comprehensive planVI. Private Land-Use Controls*to control and maintain the desirable quality and character of a property or subdivision1. Subdividor: buys undeveloped acreage and divides into smaller lots for saleB. Regulation of land development
2. Developer: constructs improvements on subdivided parcels.1. Controlled by state and local government
2. State sets minimum requirements; local government has higher standards
3. Land development plan must comply with municipality’s comprehensive plan.
4. Platsa. Detailed map showing individual lots.5. Subdivision Plans Zoning ordinances *generally provide for:
b. Includes engineering data and restrictive covenantsa. streets6. Density zoning ordinances restrict average maximum number of houses per acre
b. road and highway specifications
c. water main
d. sanitary sewer and storm sewer installation
e. easements or right of ways for public utilities
f. minimum lot sizes and setback lines
g. areas to be reserved or dedicated for public use.a. Street patterns (See Figure 19.1)(1) Gridiron patternb. Clustering for open space (See Figure 12.2) Developer may choose to cluster building lots for open space.
(2) Curvilinear system
A. Deed restrictions*originated at the time ownership is conveyed (deed) to limit the useVII. Regulation of Land SalesB. Restrictive covenants*included in a subdivision plat or separate recorded document to set standards for all the parcels in a subdivision including
1. The type of building allowed on the propertyC. Legal Issues regarding private restrictions
2. The use to which the land may be put
3. The type of construction
4. Height, setbacks, square footage1. Restrictions that prohibit the free alienation (transfer) of property ownership are usually against public policy and, thus, void and unenforceable.
2. Restrictions that limit land use are usually valid.
3. Overly-broad and repugnant restrictions are usually overturned by the courts.
4. If restrictions conflict with the zoning ordinances, the more restrictive of the two will take precedence.
5. Enforcement of private restrictions usually requires an injunction.
6. Delaying in such enforcement can result in laches.
A. Interstate Land Sales Full Disclosure Act1. Regulates sales of land across state bordersB. State Subdivided-Land Sales Laws
2. Required to register details with HUD
3. Must provide purchasers with property report in any development that exceeds 25 lots.1. Some affect only sale of land located outside the state to state residents
2. Other states regulate sales of land located both within and outside of state.
I. Equal Opportunity in Housing
A. All real estate licensees must be aware of federal, state and local fair housing laws.II. Fair Housing Act (Title VII of the Civil Rights Act of 1968)*prohibits discrimination in housing; amended by the Housing and Community Development Act of 1974 and the Fair Housing Amendments Act 1988 (See Figure 20.1)B. Purpose of the laws is to create an open, unbiased housing market in which every person has the opportunity to live where he or she chooses within his or her ability to pay.
C. Failure to comply with the laws is not only a criminal act but may also be grounds for disciplinary action against a licensee.
D. State and local laws may be more restrictive than federal law.
E. Civil Rights Act of 1866*prohibits discrimination in housing based on race, without exception Court 1896 decision, Plessy V Ferguson
F. "Separate but equal" doctrine created classes among citizens because separate was rarely equal.
A. Protected classesIII. Fair Housing Practices1. raceB. Equal Housing Opportunity Poster (See Figure 20.2)
2. color
3. religion
4. sex
5. handicap
6. familial status
7. national origin
8. including people who are associated with these individuals1. Refusing to sell, rent or negotiate the sale or rental of housingC. Definitions
2. Making a dwelling unavailable to any person
3. Changing terms, conditions or services for different individuals as a means of discrimination
4. advertising that restricts the sale or rental of residential property
5. Representing that a properties not available for sale or rent when in fact it is.
6. Profiting by inducing owners of housing to sell or rent because of the prospective entry into the neighborhood of persons in the protected classes
7. Altering the terms or conditions of a home loan or denying a loan as a means of discrimination
8. Denying membership or participation in any multiple listing service, real estate organization or other facility related to the sale or rental of housing as a means of discrimination1. Housing—”dwelling: any building or part of a building designed for occupancy by one or more families.D. Exemptions to the Fair Housing Act
2. Familial status*one or more individuals who have not reached the age of 18 being domiciled with a parent, guardian or other person with legal custody
a. All properties available; under the same terms and conditions as for others
b. Cannot use advertising or occupancy standards with the intent or effect of restricting families with children
3. Disability—physical or mental impairment (or having a history of same) that substantially limits one or more major life activities
a. Does not include current illegal use of or addiction to a controlled substance
b. Does protect individuals in addiction recovery programs
c. Must provide accommodations and allow reasonable modifications that are necessary at tenants own expense
d. See federal and state laws for accessibility guidelines.· The sale or rental of a single-family residence when the home is owned by an individual who does not own more than three such homes at one time and a real estate broker and discriminatory advertising is not usedE. Equal Credit Opportunity Act (ECOA)*prohibits discrimination in the granting of credit based on race, color, religion, national origin, sex, marital status or age (if the applicant is of legal age)
· The rental of rooms or units in an owner-occupied one- to four-family dwelling
· Dwelling units owned by religious organizations may be restricted to people of the same religion if membership in the organization is not restricted to individuals in the protected classes.
· A private club that is not open to the public may restrict the rental or occupancy of the lodgings that it owns to its members as long as the lodgings are not operated commercially.
1. Housing for older persons is exempt from the familial status protection.
a. Must be occupied solely by persons at least 62 years old or:
b. At least 80 percent of the units must be available for occupancy by at least one person at least 55 years of age and certain facilities for the elderly are provided
2. Jones v. Mayer (based on the Civil Rights Act of 1866)*where race is involved, no exceptions apply a. Supreme Court interpretation expanded definition of race to include characteristics common to nationality groups.
b. Affords due process of law for complaints.F. Americans with Disabilities Act*provides for nondiscriminatory employment procedures and accessibility to goods and services by people with disabilities
1. Title I*employment of qualified job applicants regardless of disability
2. Title III*accessibility to goods and services; barrier free
A. Blockbusting*inducing homeowners to sell by making representations regarding the entry or prospective entry of into the neighborhood by people in the protected classesIV. Enforcement of the Fair Housing Act
B. Steering*channeling homeseekers into or out of particular areas on the basis of race, color, religion, national origin or other protected class; the effect of limiting choices
C. Advertising*language that indicates a preference or limitation is discriminatory, such as1. cannot attract one population to exclusion of others.D. Appraising*cannot consider factors related to the protected classes when preparing valuations or appraisals
2. selection of media
E. Redlining*refusing to make mortgage loans or issue insurance policies in specific areas without regard to the economic qualifications of the applicant
F. Intent and effect*without intention to discriminate, certain activities can have that effect; disparate impact.
A. Administered by the Office of Fair Housing and Equal Opportunity (OFHEO) under the direction of the Secretary of HUD.V. Implications for Brokers and Salespeople1. A complainant has one year after the alleged act of discrimination to file a charge with HUD or two years to bring a federal suit.B. State and local enforcement agencies
2. HUD will investigate to see if discrimination actually occurred. HUD will attempt to resolve by reconciliation
3. Unless someone connected with the charge requests that it be heard in federal district court, an administrative law judge from HUD will hear the charge.
4. The administrative law judge has the authority to issue an injunction, award actual damages and impose civil penalties ofa. Up to $10,000 for first offense5. Cases heard in federal court can result in the award of actual and unlimited punitive damages.
b. Up to $25,000 for second offense within 5 years
c. Up to $50,000 for further violations in 7 years
6. Complaints brought under Civil Rights Act of 1866 taken directly to federal court1. Many states and municipalities have own fair housing laws.C. Threats or acts of violence*the Fair Housing Act protects those who seek or encourage the exercise of open housing rights.
2. All complaints filed with HUD referred to local enforcement agencies if their laws are substantially equivalent with federal law. ATTORNEY GENERAL
A. Real estate industry largely responsible for creating and maintaining open housing market.VI. Americans with Disabilities Act1. Social as well as legal responsibilityB. Good business practices will minimize the potential for charges of discrimination.
2. Reputation of industry cannot afford even the appearance of illegal discrimination.1. Office policies and procedures to avoid discrimination
2. Standardized inventory
3. Consistent practices
4. Verifiable and measurable criteria for property seekers
5. Written documentation of all aspects of a transaction
6. "Are we doing this for everyone?"
7. The broker should display the equal housing opportunity poster.
A. Not a housing lawVII. Professional Ethics
B. Affects place of business/public access
C. Define “disability”
A. Professional conduct involves more than compliance with the laws.1. State license laws establish activities that are legal.B. Codes of ethics are written systems of standards for ethical conduct*specific in dictating rules that either prohibit or demand certain behavior; must provide sanctions for violators.
2. Ethics is a system of moral principles, rules and standards of conduct.1. Example*Code of Ethics of the National Association of REALTORS* for its membership.2. Some states require real estate commissions to establish code or canon of ethical behavior.
I. Environmental Issues
A. Need to balance commercial use of land with preservation of vital resources and protection of the quality of water and soil.II. Hazardous Substances (See Figure 21.1)
B. Prevention and cleanup of pollutants and toxic wastes revitalize land and add greater opportunity for responsible development.
C. Environmental issues are important in practice of real estate1. Consumer more health and safety-conscious.
2. Licensees must be alert to existence of environmental hazards.a. disclosure at time of transfer of property
b. familiar with state and federal environmental laws and regulatory agencies.
A. AsbestosIII. Groundwater Contamination1. Once used as insulation; banned in 1978B. Lead-based Paint and Other Lead Hazards. (See Figure 21.2)
2. About 20 of the nation’s commercial and public buildings contaminated.
3. Health hazard.a. inhaling4. Used also in residential properties
b. harmful only when disturbed or exposed.
c. highly friable.
d. no safe level of asbestos exposure.a. to cover pipes, ducts.5. Costly to remove
b. fire resistant property made it populara. Requires state licensed technicians and specially sealed environments.
b. Disposal at licensed facilities.
c. Encapsulation, or sealing off of disintegrating asbestos, may be preferable method of containment.1. Lead used as paint pigment.C. Radon
2. present in about 75% of private homes.
3. elevated levels in body cause serious damage to brain, kidneys,
4. nervous system and red blood cells.
5. Lead particles can be present anywhere in sand. ground water and
6. Banned in 1978
7. No federal regulations that homeowners test for presence of lead-based paint.a. EPA and HUD regulations require disclosure of any known lead-based paint hazards to potential buyers and renters. Must attached to all residential leases and sales contracts along with hazard pamphlet.
b. Purchasers have 10 days to conduct risk assessment or inspection.
c. Purchasers not bound by real estate contract until 10-day period expired.1. Caused by natural decay of other radio-active substance. Eastern United States high in radon.D. Urea-Formaldehyde (UFFI)
2. When trapped in buildings high concentration.
3. Colorless/tasteless- impossible to detect without testing.
4. Levels of radon can be reduced by installing ventilation systems or exhaust fans.
5. Home radon-detection kits available. Most accurate testing by radon detection professionals.1. Used in insulationE. Carbon Monoxide
2. Consumer Product Safety Commission banned use in 1982.
3. Ban reduced to warning by courts.
4. Causes several health problems.
5. Tests can be conducted to determine presence of or level of formaldehyde gas in home.1. Colorless, odorless gas byproduct of burning fuels due to incomplete combustion.F. Electromagnetic Fields
2. Improper ventilation of equipment, malfunction creates problems.
3. Detectors are available, mandatory in some areas.1. Produced by electric currents
2. Controversy over claims whether they cause health problems.
3. Buyers reluctant to purchase property near power lines/transmitters.
A. Contamination of underground water threatens supply of pure clean water for private wells or public water supplies.IV. Underground Storage Tanks1. Contamination from run off waste disposal site, leaking underground storage tanks, use of pesticides and herbicides.
2. Contamination can spread far from source.
3. Numerous state and federal regulations exist.
A. Three to 5 million underground storage tanks (USTs) in the United StatesV. Waste Disposal Sites1. Commonly foundB. State and Federal Regulationsa. where petroleum products used or gas stations/auto repair shops located.2. Currently in use or abandoned . Once common to bury toxic waste
b. commercial/industrial establishment
c. printing/chemical plants
d. wood treatment, paper mills
e. paint manufacturers
f. dry cleaners/food processing plants.
g. chemical or other process waste storage facility.
h. military bases and airports
i. residential heating oil tanks.1. Govern:a. Installation2. Exemptions
b. Maintenance
c. corrosion prevention
d. overspill prevention
e. monitoring
f. record-keepinga. Tanks less than 110 gal.3. Federal Laws regulated by EPA
b. Farm/residential 1,100 gallons or less of motor fuel used for non-commercial purposes.
c. Heating oil tanks
d. Tanks in basement (on or above floor of underground area)
e. Septic tanks
4. Some state laws more stringent than federal laws.
A. Landfill used as disposal site for garbage.VI. CERCLA and Environmental Protection1. Layering process used.B. Federal, state and local regulations govern location, construction, content and maintenance. (See Figure 21.3)
2. Capping by laying 2-4 feet soil over top and planting grass or other vegetation.
3. Ventilating with pipe through cap to release accumulation of natural gas.
C. In Practice: location to garbage incinerator and waste disposal site lowers market
value of homes.
A. Comprehensive Environmental Response, Compensation and Liability ActVII. Liability of Real Estate Professionals1. Created “SuperFund” ($9 billion)B. Liability is strict, joint and several and retroactive
2. Created process by identifying responsible parties (PRPs)
3. Administered by EPA1. Landowner held responsible for cleanup regardless of whether responsible for contamination.C. Superfund Amendments and Reauthorization Act (SARA)
2. Cleanup of own property and any neighboring property.
3. If not responsible can seek recovery of costs from previous landowners or other responsible party or the SuperFund.
4. If PRP do not voluntarily undertake cleanup EPA can hire contractors, then bill PRP.1. Amended act clarifies obligation of lenders.
2. Innocent landowner immunity: criteria created by which to judge if person or business could be exempt from liability.a. that pollution caused by 3rd party
b. property acquired after the fact
c. no actual or constructive knowledge of damage by landowner.
d. “due care” exercised
e. responsible precautions taken in exercise of ownership rights.
A. Actual & Potential Liability1. Sellers carry most exposureB. Discovery of Environmental Hazards
2. Buyers may be held liable
3. Lenders may end up owning property.
4. Real estate [professionals held liable for improper disclosure.
5. Appraisers must identify problems; responsible to lenders who rely on them to identify.
6. Insurance Carrier may be affected.a. Mortgage Insurance will protect lender.
b. Hazard Insurance carrier may be directly responsible for damage if coverage included in policy.1. Real Estate licensees must be aware of possible hazard and where to look for professional help.C. Disclosure of Environmental Hazards
2. Ask owner if tests were done.
3. Seek scientific or technical experts.a. Environmental audit.
b. Trained inspectors.1. State laws require disclosure
2. Licensees may be liable if they should have known of a condition even if seller did not disclose.
I. Pre-closing Procedures
A. Consummation of real estate transactionII. Conducting the Closing1. Promises made in sales agreement fulfilled.B. Buyer’s issues The buyer will want to be assured that
2. Mortgage loan funds distributed
3. Title transferred1. The seller is delivering good title.C. Final property inspection to make certain
2. The property is in the promised condition. Inspectinga. the title evidence
b. the seller’s deed
c. any documents regarding removal of liens and encumbrances
d. the survey
e. the results of property inspection
f. any leases1. necessary repairs madeD. Survey
2. property is well maintained
3. fixtures are in place
4. no unauthorized removals or alterationsE. Seller’s issues. The seller will want to be assured that
1. The buyer has obtained the stipulated financing.F. Title procedures
2. The buyer has sufficient funds to complete the sale.1. The buyer needs to be assured that the seller's property and title comply with the contract requirements.
2. The seller is usually required to show proof of ownership by producing current title evidence (form that is customary in your area).
3. The title or abstract company usually makes two title searches.a. The first shows the seller's status as of the contract date.
b. The second is made for the date the deed is recorded.
c. The seller may be required to execute an affidavit of title. In areas where closed in escrow, not needed.
A. Terminology varies by geographic regionIII. RESPA Requirements1. Settlement and transferB. Face-to-face closing*the gathering of the parties interested in the real estate transaction at which the promises made in the real estate sales contract are kept or executed
2. Passing the papers
3. Escrow1. Two closings can occurC. Closing in escrowa. The closing of the buyer's loan2. May be held at
b. The closing of the sales transactiona. The title insurance company3. May be attended by
b. The lending institution
c. One of the parties' attorneys office
d. The broker's office
e. The county recorder (or other local recording official) office
f. The escrow companya. The buyer4. The closing agent or closing officer*the person who presides over the closing.
b. The seller
c. The real estate licensees (brokers and salespeople)
d. The attorney(s) for the seller and the buyer
e. The representative of the involved lending institutions
f. The representative of the title insurance company
5. The exchange; made when all parties satisfied that everything is order.1. The method of closing in which a disinterested third party is authorized to act as the escrow agent and coordinate the closing activities.D. Escrow Procedure
2. Because the escrow agent is placed in a position of trust, many states have laws regulating escrow agents and limiting who may serve in this capacity.1. After escrow agent selected and contract signed, broker deposits earnest money with escrow agent.F. IRS reporting requirements*Form 1099-S
2. Before the closing, the seller will deposit with the escrow agenta. The deed conveying the property to the buyer3. Before the closing, the buyer will deposit with the escrow agent
b. Title evidence (whatever is customary in your area)
c. Existing hazard insurance policies
d. A letter from the lender and an estoppel certificate stating the exact principal remaining if the buyer is assuming the seller's loan
e. Affidavits of title (if required) – Affidavits of Value in AZ
f. A reduction certificate (payoff statement) if the seller's loan is to be paid off
g. Other documents necessary to clear the title or complete the transactiona. The balance of the cash needed to complete the purchase, usually in the form of a certified check4. The escrow agent is given the authority to examine the title evidence
b. Loan documents if the buyer is securing a new loan
c. Proof of hazard insurance, including, if required, flood insurance
d. Other documents necessary to complete the transactiona. If the title is marketable and all other conditions are met, the escrow agent will disburse the funds and record the documents.
b. If the title has liens, they will be paid off first.
c. If the sale cannot be completed, the parties will be restored to their former status.1. Contains the seller's social security number, sales price and the amount of property tax that was reimbursed to the seller by the buyer (seen as income by the IRS)G. Broker's role at closing*varies from simply collecting the commission to conducting the proceedings
2. Must be filed by the closing agent; if this person does not the responsibility rests on the mortgage lender or ultimately the brokers involved.
H. Lender's interest in closing*to protect its security interest in the property, the lender can require1. A title insurance policy
2. A fire and hazard insurance policy
3. A survey
4. A termite or other inspection report
5. A certificate of occupancy (for newly-constructed buildings)
6. Reserve or escrow accounts for tax and insurance payments
7. Representation by its own attorney at the closing – Not in Arizona
A. PurposeIV. Preparation of Closing Statements (See Figure 22.1)1. To provide consumers with greater and more timely information on the nature and costs of settlementB. RESPA requirements must be complied with when the purchase of a ne-to-four-family residential unit is financed by a federally-related new first mortgage loan
2. To eliminate "kickback" and other referral fees that tend to unnecessarily increase the costs of settlement and1. Made by a federally-chartered lending institutionC. Exceptions to the "new loan" requirement
2. Made by an institution whose deposits are federally-insured
3. FHA-insured
4. VA-guaranteed
5. Administered by HUD
6. Intended to be sold to Fannie Mae, Ginnie Mae, or Freddie Mac1. purchase money mortgagesD. Controlled business arrangements (CBAs)*affiliated firms offer package of services to consumers.
2. Installment sales (land contracts)
3. buyer’s assumption of existing mortgage
4. no exception ifa. the terms of assumed loans are modified
b. Assumed loans for which the lender charges more than $50 for the assumption1. The relationship between the firms must be disclosed in writing to consumers.E. Disclosure requirements
2. Consumers must be free to obtain the services elsewhere.
3. Fees are not exchanged among the affiliated companies simply for the referral of business.1. The lender must give a copy of special informational HUD booklet to every person from whom they receive or for whom they process a loan application.F. Kickbacks and referral fees
2. Within three business days of the loan application, the lender must provide the borrower with a good-faith estimate of the settlement costs the borrower is likely to incur.
3. The loan closing information must be prepared on the Uniform Settlement Statement (HUD Form 1) and available for inspection at or before settlement.1. Kickbacks and unearned referral fees are prohibited.
2. The payment or receipt of any fee or thing of value where no service is actually rendered is prohibited.
A. How the closing statement works (See Figure 22.2)V. Prorations *expenses divided between the seller and the buyer, including accrued items (such as real estate taxes) and prepaid items (such as fuel oil in a tank)1. A debit is a charge (an expense).B. The buyer's debits and credits are totaled; when the credits are subtracted from the debits, the difference is the cash the buyer must bring to the closing.
2. A credit is an amount entered in a person's favor.
C. The seller's debits and credits are totaled; when the debits are subtracted from the credits, the difference is the amount the seller will receive at closing.
D. Expenses (See Figure 22.2)1. Broker's commission
2. Attorney's fees
3. Recording expenses
4. Transfer tax
5. Title expenses
6. Loan fees
7. Tax reserves and insurance reserves (escrow or impound accounts)
8. Appraisal fees
9. Survey fees
10. Additional fees
A. The arithmetic of proratingVI. Sample Closing Statement1. Four considerationsB. Accrued and prepaid itemsa. the nature of item being prorated
b. whether it is accrued item requiring determination of earned amount
c. whether it is prepaid item that requires the unearned amount refunded
d. what arithmetic processes must be used.1. accrued items = buyer creditC. General rules for calculating prorations
2. prepaid items = seller credit1. The yearly charge is divided by a 360-day year (commonly called a banking year) or twelve months of 30 days each.
2. The yearly charge is divided by 365 (366 in a leap year) to determine the daily charge; then the actual number of days in the proration period is determined; and this number is multiplied by the daily charge.
3. The final figure will vary depending on the method used and the number of decimal places to which the division is carried.
4. Guidelinesa. In most states, the seller owns the property on the day of closing and prorations are made to and including that date.5. Real estate taxes
b. Prorations are computed using a 30-day month and a 360-day year or using the actual number of days in the month in a 365 day year (refer to area practices).
c. Accrued real estate taxes are usually prorated; special assessments for public improvements are not.
d. Rents are usually prorated based on the actual number of days in the month of closing.
e. Security deposits belong to the tenants and must be transferred intact from the seller to the buyer.a. If they are paid in advance, the seller should be reimbursed for the portion of the year remaining after the buyer takes ownership.6. Mortgage loan interest*usually paid in arrears
b. If they are paid in arrears, the buyer is credited for the time the seller was occupying the property.
A. The Uniform Settlement Statement (HUD Form 1) (see Figure 22.3)B. Basic information of offer and sale
C. Computing the prorations and charges
D. The Uniform Settlement Statement
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Math Review
I. Real estate mathematics review
A. Most math consists of fairly simple calculations.II. Basic Math Facts
B. Approach to math problems1. Read the question carefully.C. Calculator Skills
2. Analyze the question and sort the facts that are necessary.
3. Determine the procedure to calculate the answer.
4. Calculate the answer.
5. Check the answer to determine if the question has been answered.
6. Look at the answer to see if it makes sense.1. Learn to use the calculator properly.D. Be sure that you are working in similar units of measure – for example, multiplying feet by feet rather than feet by inches.
2. Select calculator most comfortable to use.
3. Familiarize yourself with it and read the manual.
4. Be sure to enter numbers correctly.
5. Be certain that decimals are entered correctly.
A. Important definitions1. AnnualB. Measurements
2. Biannual
3. Biennial
4. Calculate
5. Capitalization rate
6. Cubic measure
7. Distracter
8. Dimension
9. Fact
10. Fraction
11. Front foot
12. Income
13. Interest
14. Linear measure
15. Mill
16. Percentage
17. Principal
18. Quarterly
19. Rate
20. Square measure
21. Tax
22. Time1. LinearC. Units of measure
2. Square
3. Cubic1. 12”(inches) = 1’ (foot)D. Conversions
2. 1 mile = 5,280 feet
3. 1 acre = 43,560 sg. ft.
4. 1 rod = 16 1/2 feet
5. mile = 320 rods1. Square feet to square inchesE. Fractions
2. Square inches to square feet
3. Square yards to square feet
4. Square feet to square yards
5. Square yards to square inches
6. Square inches to square yards
7. Square feet to acres
8. Cubic feet to cubic yards1. Parts of a fractionF. Percentages
2. Proper fraction
3. Improper fraction
4. Mixed number
5. Converting fractions to decimals
6. Multiplying fractions
7. Dividing fractions1. Converting simple fractions to decimals, then to percentagesH. Computing area and volume
2. Converting percentage to decimals
3. Adding, subtracting, multiplying and dividing with decimals
G. Capitalization rate: IRV1. Index to symbols
2. Parallelogram
3. Computing volume
4. Triangle
5. Trapezoid
6. Irregular polygons
7. Sample problems
1-7 8-15 16 17 18 19 20 21 22 Math Math Quizes