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Mathematics 20 Online
OpenStudy (anonymous):

Keith owes $4,512 on a credit card with a 17.3% interest rate compounded monthly. What is the monthly payment he should make in order to pay off this debt in 12 months, assuming he does not charge any more purchases with the card? $915.50 $74.54 $376.00 $412.16

jimthompson5910 (jim_thompson5910):

what did you get?

jimthompson5910 (jim_thompson5910):

if you're completely stuck, use this formula P = L((r/n)*(1 + r/n)^(n*t))/((1 + r/n)^(n*t) - 1) or this calculator http://www.bankrate.com/calculators/mortgages/loan-calculator.aspx

OpenStudy (anonymous):

Honestly I got $844 or something like that

jimthompson5910 (jim_thompson5910):

that's a bit too high

OpenStudy (anonymous):

I probably used the wrong formula

jimthompson5910 (jim_thompson5910):

probably

OpenStudy (anonymous):

Ah, I got $74.54 with the formula.

OpenStudy (anonymous):

Thanks!

jimthompson5910 (jim_thompson5910):

no that's not correct

jimthompson5910 (jim_thompson5910):

how did you get that?

OpenStudy (anonymous):

Oh, seriously.. I just plugged in all of the numbers into the formula you gave me

jimthompson5910 (jim_thompson5910):

how so

OpenStudy (anonymous):

There was not "t" listen in the equation so I just used 12

OpenStudy (anonymous):

no*

jimthompson5910 (jim_thompson5910):

remember 12 months = 1 year

jimthompson5910 (jim_thompson5910):

t is time in years

OpenStudy (anonymous):

P = 4512((0.173/12)*(1 + 0.173/12)^(12 *12))/((1 + 0.173/12)^(12*12) - 1)

jimthompson5910 (jim_thompson5910):

t isn't 12 though

OpenStudy (anonymous):

The equation doesn't listen a time frame? It just says 12 months

OpenStudy (anonymous):

Unless I'm missing something

jimthompson5910 (jim_thompson5910):

12 months = 1 year, so t = 1

jimthompson5910 (jim_thompson5910):

not t = 12

OpenStudy (anonymous):

Ohhhh

OpenStudy (anonymous):

$412.16

jimthompson5910 (jim_thompson5910):

better

OpenStudy (anonymous):

One question, if it said "What is the monthly payment she should make in order to pay off this debt in 2 years, assuming she does not charge any more purchases with the card?" would t still = 1? or would it = 2?

jimthompson5910 (jim_thompson5910):

t would turn into t = 2 because it's not 1 year anymore, it's 2 years

OpenStudy (anonymous):

Okay, thank you!

jimthompson5910 (jim_thompson5910):

np

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