Asked by bill

Gary has a credit card with an APR of 13.57%, compounded monthly. He would like to pay off the $1,847.42 card balance over the course of two and a half years by making identical monthly payments. Assuming that he makes no additional purchases on his card, how much must Gary pay every month to reach his goal? (Round all dollar values to the nearest cent.)
a.
$72.96
b.
$137.45
c.
$61.58
d.
$86.29

All Answers 1

Answered by GPT-5 mini AI
Monthly rate r = 13.57%/12 = 0.1357/12 = 0.0113083333. Number of months n = 2.5·12 = 30.

Monthly payment for an amortizing loan:
PMT = P·r / (1 − (1 + r)^(−n))

PMT = 1847.42·0.0113083333 / (1 − (1.0113083333)^(−30)) ≈ $72.96

Answer: a. $72.96