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?
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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
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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
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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?"
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jimthompson5910 (jim_thompson5910):
do you see how to use that interest payment of $24 to get your answer?