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Mathematics 21 Online
gregalex:

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?

silvernight269:

@Hero

Hero:

@gregalex how far have you gotten with trying to solve this one?

gregalex:

not very

Hero:

Do you have the formula with you?

Hero:

If so, would you mind posting it here?

Hero:

Are you still here @gregalex ?

Hero:

I'm asking whether or not you know the formula. If you don't know the formula it's okay.

gregalex:

no, i don't

Hero:

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.

Hero:

So, in other words: \(P = 767, r = 0.165, n = 12, t = 1\). Insert those values to get the value of \(A\)

Hero:

After finding \(A\) subtract the $49 he already paid to get the new balance.

gregalex:

Thank you!

Hero:

You're welcome

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