Tamora just made the last of her monthly payments on her loan. she had been making these payments for the past nine years. the loan had a principal of $10,675 and an interest rate of 4.75%, compounded monthly. in addition, tamora paid $939.25 in service charges. what was tamora’s total finance charge? round all dollar values to the nearest cent.
a.
$939.25
b.
$11,614.25
c.
$3,403.53
d.
$2,464.28

Answer : $3403.53

Detailed Solution: 
principal was 10,675
interest rate was 4.75% per year compounded annually.
additional $939.25 was paid in service charges.
payment on the principal plus interest is shown below: 

pv = 10675
i = .0475/12 = .0039583333... per month.
n = 9 * 12 = 108 months.
fv = 0
pmt = 121.6635... per month
total finance charge would be (108 * 121.6635... + 939.25 - 10675).
that equals to 13139.66 + 939.25 - 10675 = 3403.91 

principal = 10,675
interest rate = 4.75% per year compounded monthly.
additional $939.25 was paid in service charges.

Annuity Payment PV
10,675 * (4.75%/12) ÷ [1 - (1+ 4.75%/12)^-12*9] 
10,675 * 0.00396 ÷ [1 - (1.00396)^-108]
42.273 ÷ (1 -  0.655) 
42.273 ÷ 0.345 = 122.53

122.53 * 108 = 13,233.24   interest and principal

13,233.24 + 939.25 - 10,675 = 3,497.49  

The answer is closer to Choice C. The minimal difference in amount is due to the rounding off of decimal places.

False

Step-by-step explanation:

Because any number below 0 is negative