A woman has $250,000 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 $26,500. Let x represent the amount of the 10% investment and y represent the amount of 12% investment.
a) Write an equation that states the sum of the investments is $250,000.
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 $26,500.
e) Solve these two equations simultaneously to find how much is invested in each property.