Question: A woman has $500,000 invested in two rental properties. One yields an annual return of 12% of her investment, and the other returns 15% per year on her investment. Her total annual return from the two investments is $64,500. If x represents the 12% investment and y represents the 15% investment,

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

b) What is the annual return on the 12% investment?

c) What is the annual return on the 15% investment?

d) Write an equation that states that the sum of the annual returns is $64,500.

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