Question

Suppose that your federal direct student loans plus accumulated interest total $25,000 at the time that you start repayment and È the interest rate on all the loans is 5.13%. (a) If you elect the standard repayment plan of a fixed amount each month for 10 years, what would your monthly payment be?$ (b) How much would you pay in interest over the 10 years?$

          Suppose that your federal direct student loans plus accumulated interest total $25,000 at the time that you start repayment and È the interest rate on all the loans is 5.13%.
(a) If you elect the standard repayment plan of a fixed amount each month for 10 years, what would your monthly payment be?$
(b) How much would you pay in interest over the 10 years?$
        
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Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
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Suppose that your federal direct student loans plus accumulated interest total $25,000 at the time that you start repayment and È the interest rate on all the loans is 5.13%. (a) If you elect the standard repayment plan of a fixed amount each month for 10 years, what would your monthly payment be?$ (b) How much would you pay in interest over the 10 years?$
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Transcript

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00:01 Hi from the question given that as student loan of dollar 75 ,000 carries an interest rate 6 .25 % so loan amount will be $175 ,000 and the rate of interest are is equal to 6 .25 percentage and the time period is 10 years.
00:28 So here in part a we need to find how much is the monthly payment.
00:33 So formula for monthly payment will will be equal to loan amount into r by n divided by 1 minus 1 plus r by n the old power minus n t now here n is equal to number of times the rate of interest is compounding so here it can be 12 so substitute the given values in this formula so we obtain monthly pay payment is equal to loan amount is $75 ,000 times rate of interest r is 0 .0625 divided by n is 12 divided by 1 minus 1 plus r is 0 .0625 divided by 12 the old power minus 12 times t is 10.
01:46 So this could be equal to 75 ,000.
01:50 Times 0 .005208 divided by 0 .463869.
02:11 So simplified further we obtain 842 .10.
02:16 Therefore we conclude that the monthly payment dollar 842 .10.
02:29 Now let us move on to the second part.
02:32 So in point, part b we need to find the total payment...
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