Jackson has a previous balance of $767 on a credit card with a 16.5% APR compounded monthly. If he made a payment of $49 this month, what is the new balance on his credit card?
@Hero
@gregalex how far have you gotten with trying to solve this one?
not very
Do you have the formula with you?
If so, would you mind posting it here?
Are you still here @gregalex ?
I'm asking whether or not you know the formula. If you don't know the formula it's okay.
no, i don't
The formula for compound interest is \(A = P\left(1 + \dfrac{r}{n}\right)^{nt}\) where \(A\) is the current account balance, \(P\) is the previous balance, \(r\) is the APR, \(n\) is number of times compounded , and $t$ is the length of time of the account, which in this case we can assume to be one year.
So, in other words: \(P = 767, r = 0.165, n = 12, t = 1\). Insert those values to get the value of \(A\)
After finding \(A\) subtract the $49 he already paid to get the new balance.
Thank you!
You're welcome
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