A man has $420,000 invested in three rental properties. One property earns 7.5% per year on the investment, the second earns 7%, and the third earns 9%. The total annual earnings from the three properties is $33,900, and the amount invested at 9% equals the sum of the first two investments. Let x equal the investment at 7.5%, y equal the investment at 7%, and z represent the investment at 9%. Complete parts (a) through (d) below. a. Write an equation that represents the sum of the three investments. (Type an equation. Do not include the $ symbol in your answer.) b. Write an equation that states that the sum of the returns from all three investments is $33,900. (Type an equation. Do not include the $ symbol in your answer.) c. Write an equation that states that the amount invested at 9% equals the sum of the other two investments. (Type an equation. Do not include the $ symbol in your answer)

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 37CR
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A man has $420,000 invested in three rental properties. One property earns 7.5% per year on the investment, the second earns 7%, and the third earns 9%. The total
annual earnings from the three properties is $33,900, and the amount invested at 9% equals the sum of the first two investments. Let x equal the investment at 7.5%, y
equal the investment at 7%, and z represent the investment at 9%.
Complete parts (a) through (d) below.
a. Write an equation that represents the sum of the three investments.
(Type an equation. Do not include the $ symbol in your answer.)
b. Write an equation that states that the sum of the returns from all three investments is $33,900.
(Type an equation. Do not include the $ symbol in your answer.)
c. Write an equation that states that the amount invested at 9% equals the sum of the other two investments.
(Type an equation. Do not include the $ symbol in your answer)
d. Solve the system of equations to find how much is invested in each property,
Transcribed Image Text:A man has $420,000 invested in three rental properties. One property earns 7.5% per year on the investment, the second earns 7%, and the third earns 9%. The total annual earnings from the three properties is $33,900, and the amount invested at 9% equals the sum of the first two investments. Let x equal the investment at 7.5%, y equal the investment at 7%, and z represent the investment at 9%. Complete parts (a) through (d) below. a. Write an equation that represents the sum of the three investments. (Type an equation. Do not include the $ symbol in your answer.) b. Write an equation that states that the sum of the returns from all three investments is $33,900. (Type an equation. Do not include the $ symbol in your answer.) c. Write an equation that states that the amount invested at 9% equals the sum of the other two investments. (Type an equation. Do not include the $ symbol in your answer) d. Solve the system of equations to find how much is invested in each property,
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