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Mathematics 13 Online
OpenStudy (anonymous):

Garrett is graduating from college in twelve months, but he will need a loan in the amount of $6,785 for his last two semesters. He may either receive an unsubsidized Stafford Loan with an interest rate of 6.8%, compounded monthly, or his parents may get a PLUS Loan with an interest rate of 7.8%, compounded monthly. The Stafford Loan has a grace period of six months from the time of graduation. Which loan will have a higher balance at the time of repayment and by how much?

OpenStudy (anonymous):

The PLUS Loan has a higher balance by $72.54. The PLUS Loan has a higher balance by $112.83. The Stafford Loan has a higher balance by $177.86. The Stafford Loan has a higher balance by $250.40

OpenStudy (bahrom7893):

Can you post the equation for compound interest?

OpenStudy (anonymous):

Not sure but what I did was $6,785 (1+0.068/12)^18 = $7511.43 for the Stanford Loan $6,785 (1+0.078/12)^12 = $7333.57 for the PLUS loan Then subtracted SL - PL and got $177.86. So i'm thinking it's C

OpenStudy (bahrom7893):

Uhm no, then we know it's not C, because The Stafford Loan has a grace period of six months.

OpenStudy (bahrom7893):

Sorry I gotta go now, but hopefully @dan815 can help you out when he's done with his problem.

OpenStudy (anonymous):

"for his last two semesters"

OpenStudy (anonymous):

Oh okay thanks though

OpenStudy (bahrom7893):

oh and the grace period starts from graduation, so he's not paying the extra percentage for 6 months

OpenStudy (dan815):

hey

OpenStudy (anonymous):

omg

OpenStudy (dan815):

1 semester = how many months?

OpenStudy (anonymous):

I'm guessing 12 or 6 months?

OpenStudy (anonymous):

Garrett is graduating in 12 months, and Stafford Loan has grace period of 6 months after graduation, so repayments on Stafford Loan must start after 18 months

OpenStudy (dan815):

kk

OpenStudy (dan815):

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OpenStudy (dan815):

sry 12* for 2 semesters

OpenStudy (anonymous):

huh?

OpenStudy (dan815):

the compound interest formula

OpenStudy (dan815):

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