Miles and nick each separately apply for and receive loans worth $5,000 apiece. miles has a very good credit score, so his loan has an apr of 7.75%, compounded monthly. nick’s credit score is rather low, so his loan has an apr of 13.10% interest, compounded monthly. if both of them repay their loans over a four year period, making equal monthly payments based on their own loan, how much more will nick have paid than miles? (round all dollar values to the nearest cent.)
a.
$619.68
b.
$267.50
c.
$1,609.57
d.
$1,070.00

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.