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Mathematics 7 Online
OpenStudy (anonymous):

HELP PLEASE!! Hannah purchased a jet ski for $1,674 using a 12-month deferment plan. The interest rate is 23.37%. A down payment of $375 is required as well as a minimum monthly payment of $53. What is the balance at the beginning of the 13th month if only the minimum payment is made during the introductory period?

OpenStudy (anonymous):

lets first determine how much was financed. she had to pay a down payment initially = so tell me how much was financed

OpenStudy (anonymous):

375?

OpenStudy (anonymous):

yes that was her down payment amount. so basically subtract that from the purchase price and that will tell us the amount financed

OpenStudy (anonymous):

$1299

OpenStudy (anonymous):

yes,

OpenStudy (anonymous):

now lets determine the interest- int rate X financed = amount of interest then add that interest to our 1299 amount

OpenStudy (anonymous):

I got 1386.38

OpenStudy (anonymous):

try that again, .2375 X 1299 = 308.51 1299 + 308.51 = ???

OpenStudy (anonymous):

oops, i should have done .2337

OpenStudy (anonymous):

I got 303.58

OpenStudy (anonymous):

right, now add that to 1299

OpenStudy (anonymous):

1602.58?

OpenStudy (anonymous):

correct. she paid 53 times 12 months... (53*12=??)

OpenStudy (anonymous):

636

OpenStudy (anonymous):

perfect, now subtract that from the 1602.58 and you will know what is the balance as of 13th month beginning

OpenStudy (anonymous):

But thats 966.58 and that isnt a choice.

OpenStudy (anonymous):

is 1019.58 a choice?

OpenStudy (anonymous):

if so - it is because in her 1st month she did not pay the 53 just her downpayment; so we should had done 53*11 and subtracted that....

OpenStudy (anonymous):

no. the choices are: $1,001.30 $1,098.96 $1,584.30 $1,637.30

OpenStudy (anonymous):

not getting any of those, I am assuming simple interest - are u on compound interest? also is the interest given - annual (assumption unless otherwise told)

OpenStudy (phi):

you should use compound interest, compounded monthly I am guessing 12-month deferment plan means you don't pay the monthly fee for 12 months.

OpenStudy (anonymous):

Yes I'm on compound interest.

OpenStudy (anonymous):

oh :) makes a diffference. but the problem is not implied by such

OpenStudy (anonymous):

How would I set it up?

OpenStudy (phi):

P (1+i/n)^nt n is 12 t is 1 year i is 0.2337

OpenStudy (anonymous):

ok and i got 2109.96, what do i do from here?

OpenStudy (anonymous):

Oh wait I got 1098.96. Thanks you guys.

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