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In: Finance

Joey realizes that he has charged too much on his credit card and has racked up...

Joey realizes that he has charged too much on his credit card and has racked up $4,200 in debt. If he can pay $175 each month and the card charges 15 percent APR (compounded monthly), how long will it take him to pay off the debt? (Do not round intermediate calculations and round your final answer to 2 decimal places.)

Solutions

Expert Solution

PV =

r = 15%/12 = 1.25% (monthly), PV = $4200, P = $175

0.3 = 1 - 1.0125-n

1.0125-n = 0.7

Taking log of both sides,

-n * LN(1.0125) = LN(0.7)

-n * 0.012423 = -0.35667

n = 28.71 months

jeff jeffy answered 2 years ago
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