Problem

Rental Income A woman has $500,000 invested in two rental properties. One yields an annual...

Rental Income A woman has $500,000 invested in two rental properties. One yields an annual return of 10% of her investment, and the other returns 12% per year on her investment. Her total annual return from the two investments is $53,000. Let x represent the amount of the 10% investment and y represent the amount of the 12% investment.

a. Write an equation that states that the sum of the investments is $500,000.


b. What is the annual return on the 10% investment?


c. What is the annual return on the 12% investment?


d. Write an equation that states that the sum of the annual returns is $53,000.


e. Solve these two equations simultaneously to find how much is invested in each property.

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