Andy needs a loan that he will not have to pay back for 3 years. The interest rate for the loan is 7.5% compounded quarterly. On the maturity date, wants Andy to make a single
payment of no more than $12000. What is the most Andy can borrow?

================================================

Work Shown:

--------------

Explanation: I used the compound interest formula. The value of P is the amount loaned to Andy. That amount compounds interest over t = 3 years to arrive at A = 12000 dollars.

The interest rate in decimal form is r = 0.075 and n = 4 is due to quarterly compounding the interest.

The approximate result for P is the most Andy can borrow if he doesn't want A to get larger than $12,000. Smaller values of P will point to values of A such that 0 < A < 12000.

the first domain and range set to the left is matched with the top relation, and the second set the set in the middle goes with the bottom relation.