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Mathematics 7 Online
OpenStudy (anonymous):

Alexander has a previous balance of $982 on a credit card with a 19.2% APR compounded monthly. If he made a payment of $73 this month, what is the new balance on his credit card? $909.00 $924.71 $1,097.54 $1,170.54

OpenStudy (jdoe0001):

do you have the compound interest formula?

OpenStudy (anonymous):

Yes the A=P(1+r/n)^nt

OpenStudy (jdoe0001):

ok, so if the balance the previous month was 982, what would be the new balance THIS MONTH? whatever that balance, he's paying 73 bucks THIS MONTH, so, whatever the balance - 73, is the "new" balance in the account

OpenStudy (jdoe0001):

bear in mind that "n" or periods is "12", and t = 1, for 1 year, and "r" is in percent form, or 19.2/100

OpenStudy (anonymous):

i got 1115.05

OpenStudy (jdoe0001):

so, the new balance will be $$ Amount = 982\pmatrix{1+\cfrac{0.0192}{12}}^{12} $$

OpenStudy (anonymous):

i came up with 1001.02

OpenStudy (jdoe0001):

I got the same :/

OpenStudy (anonymous):

hmmm idk whats going on

OpenStudy (jdoe0001):

hehe

OpenStudy (anonymous):

lol

OpenStudy (jdoe0001):

you see the previous month balance, in a monthly compounding, becomes the new Principal so, 982 is the principal to get the new balance

OpenStudy (jdoe0001):

the rest is given, the period is 12, 12 months per year, 1st year, and the rate, which is 0.0192 or 19.2 %... wait, my shoot, my rate should be 19.2/100 = 0.192

OpenStudy (jdoe0001):

so $$ Amount = 982\pmatrix{1+\cfrac{0.192}{12}}^{12} $$

OpenStudy (anonymous):

i wasnt talking about the equation i was talking about the answers

OpenStudy (jdoe0001):

yes, I know, I was referring to the same, but otherwise the values look good

OpenStudy (anonymous):

ohh okay

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