Useful Formulas & Numbers
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Questions and Answers

A real estate agent sells a property for $500,000 and earns a commission rate of 3%. How much commission does the agent earn?

  • $1,500
  • $150,000
  • $15,000 (correct)
  • $515,000

If a buyer secures a loan of $200,000 and pays 2 points in closing costs, what is the dollar amount of the closing costs?

  • $2,000
  • $200
  • $400
  • $4,000 (correct)

A property is assessed at $300,000 and the tax rate is 1.2%. What are the annual taxes?

  • $3,600 (correct)
  • $250,000
  • $36,000
  • $250

A rectangular lot measures 100 feet in length and 50 feet in width. What is the area of the lot?

<p>5,000 square feet (C)</p> Signup and view all the answers

What is the area of a lot that measures one square mile?

<p>640 acres (C)</p> Signup and view all the answers

A property appreciates at a rate of 5% each year. If the initial value of the property (PV) is $200,000, which formula correctly calculates the future value (FV) of the property after 3 years?

<p>$FV = 200,000 * (1 + 0.05)^3$ (A)</p> Signup and view all the answers

A property is currently valued at $350,000. If it depreciates at a rate of 2% per year, what will be its approximate value after 2 years?

<p>$336,280 (B)</p> Signup and view all the answers

To find the perimeter of an irregularly shaped lot, what is the correct method?

<p>Add up the lengths of all the sides. (A)</p> Signup and view all the answers

An investor wants to purchase 5 acres of land. How many square feet is this equivalent to?

<p>217,800 square feet (C)</p> Signup and view all the answers

How would you calculate the area of an irregular lot?

<p>Break the lot into basic shapes, calculate individual areas, and add them together. (C)</p> Signup and view all the answers

Flashcards

How to calculate Commission Earned?

Final Sales Price multiplied by the Commission Rate.

How to calculate Amount Owed (Interest)?

Principal Balance multiplied by the Annual Interest Rate.

How to calculate Appreciation?

Property Value multiplied by the percentage increase each year.

How to calculate Closing Costs?

Loan Amount multiplied by the points percentage.

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How to calculate the area of an irregular lot?

Break the irregular shape down into squares, rectangles and triangles, calculate the areas of each shape, then add the shape areas together.

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How to calculate the perimeter of a lot or shape?

Sum of all the lengths of all sides of the lot or shape.

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How to calculate Annual Taxes?

Assessed Value multiplied by the Tax Rate.

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How to calculate the Area of a Lot?

Length multiplied by Width.

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What is the area of 1 Acre?

43,560 square feet

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What is the area of 1 Square Mile?

640 Acres

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Study Notes

Calculating Commissions

  • Commission Earned = Final Sales Price x Commission Rate

Calculating Interests

  • Amount Owed = Principal Balance x Annual Interest Rate

Calculating Appreciation

  • Property Value = Property Value x % increase each year
  • FV = PV x (1+a)^n
    • FV is future value
    • PV is present value
    • a is appreciation rate
    • n is number of years

Calculating Depreciation

  • Property Value (Year 3) = Property Value x % decrease each year
  • FV = PV x (1-d)^n
    • FV is future value
    • PV is present value
    • d is depreciation rate
    • n is number of years

Closing Cost Calculation

  • Closing Costs = Loan Amount x points %

Calculating the area of an irregular lot

  • Break the shape down into squares, rectangles, and triangles
  • Calculate the areas of each shape
  • Sum all of the areas together

Calculating Perimeter

  • Simply add up the lengths

Annual Taxes Calculation

  • Annual Taxes = Assessed Value x Tax Rate

Calculating Area of Lot

  • Area of Lot = Length x Width

Key Conversions to Memorize

  • 1 Acre = 43,560 sq feet
  • 1 Square Mile = 640 Acres
  • 1 Hectare = 10,000 sq meters = 2.47 Acres

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Description

Understand key real estate formulas. This covers calculating commissions, interests, appreciation, depreciation, closing costs and property tax. Also included are area and perimeter calculations.

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