Rental Income A woman has $500,000 invested intwo rental properties. One yields an annual return of12% of her investment, and the other returns 15%per year on her investment. Her total annual returnfrom the two investments is $64,500. If x representsthe 12% investment and y represents the 15% investment, answer the following:a. Write an equation that states that the sum of theinvestments 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 theannual returns is $64,500.e. Solve these two equations simultaneously to findhow much is invested in each property.
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Rental Income 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, answer the following:
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.
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