# math

A company borrowed \$1500. It must make monthly payments of \$40.50 for 42 months to pay off the loan. Use the constant ratio formula to find the annual percentage rate.

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1. The Constant Ratio Formula for APR
APR ¡Ö 2NI
P(T +1)

where
N = number of payments per year (usually 12 since most loans are paid back in monthly payments)

I = finance charge (i.e., total interest plus any additional charges)

P = principal

T = total number of payments

42 pmts x \$40.50 = total pd back \$1701.
Loan is for \$1500, the interest is \$1701 - \$1500 = \$201

APR = 2(12)(201)
1500 (42+1)

= 4824 = 0.07479
64500

= 7.48 %

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