A man has $380,000 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 tolal annual earnings from the three properties is $30,750, 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. x+y+z=380000 (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 $30,750. 0.075x +0.07y+0.09z = 30,750 (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. z=x+y (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. O A. There is one solution. The man invested $ at 7.5%, $ at 7%, and $ at 9%. O B. There are infinitely many solutions. If the man invests $z at 9%, then he invests $ at 7.5% and $ at 7%. (Type expressions using z as the variable.)

A man has $380,000 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 tolal annual earnings from the three properties is $30,750, 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. x+y+z=380000 (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 $30,750. 0.075x +0.07y+0.09z = 30,750 (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. z=x+y (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. O A. There is one solution. The man invested $ at 7.5%, $ at 7%, and $ at 9%. O B. There are infinitely many solutions. If the man invests $z at 9%, then he invests $ at 7.5% and $ at 7%. (Type expressions using z as the variable.)

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter2: Working With Real Numbers

Section2.3: Rules For Addition

Problem 6P

See similar textbooks

Similar questions

At the Pizza Dude restaurant, a 12-in. pizza costs 5.40 to make, and the manager wants to make at least 4.80 from the sale of each pizza. If the pizza will be sold by the slice and each pizza is cut into 6 pieces, what is the minimum charge per slice?

Recommended textbooks for you

Algebra: Structure And Method, Book 1

Algebra

ISBN:

9780395977224

Author:

Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:

McDougal Littell