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Mathematics 14 Online
OpenStudy (anonymous):

Charley Bateman obtained a loan of $2,400 to install a solar panel on his roof. The interest rate is 12% and the monthly payment is $113.04. How much of the first monthly payment covered principal?

jimthompson5910 (jim_thompson5910):

Do you have any work done so far?

OpenStudy (anonymous):

yes the interest 112.92

OpenStudy (anonymous):

i dont know how to do the rest

jimthompson5910 (jim_thompson5910):

how did you get 112.92?

OpenStudy (anonymous):

from subtracting monthly payment and rate

jimthompson5910 (jim_thompson5910):

I see

jimthompson5910 (jim_thompson5910):

You actually take the annual rate of 12% and use this to find the monthly rate what must you do?

OpenStudy (anonymous):

uhm i dont know ? ;o

jimthompson5910 (jim_thompson5910):

how many months are in a year?

OpenStudy (anonymous):

12

jimthompson5910 (jim_thompson5910):

so we divide the annual rate (12%) by the number of months 12%/12 = 1% therefore the monthly interest rate is 1%

jimthompson5910 (jim_thompson5910):

take 1% of the amount loaned to compute the first interest payment tell me what you get

OpenStudy (anonymous):

24

jimthompson5910 (jim_thompson5910):

so that's the interest payment

jimthompson5910 (jim_thompson5910):

"How much of the first monthly payment covered principal?"

jimthompson5910 (jim_thompson5910):

do you see how to use that interest payment of $24 to get your answer?

OpenStudy (anonymous):

yes thank you

jimthompson5910 (jim_thompson5910):

ok great

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