A recent college graduate buys a new car by borrowing $16,000 at 7.2%, compounded monthly, for 4 years. She decides to pay $400 instead of the monthly payment required by the loan. (a) What is the...

A recent college graduate buys a new car by borrowing $16,000 at 7.2%, compounded monthly, for 4 years. She decides to pay $400 instead of the monthly payment required by the loan.

(a) What is the monthly payment required by the loan? (Round your answer to the nearest cent.)
$


How much extra did she pay per month? (Round your answer to the nearest cent.)
$


(b) How many $400 payments will she make to pay off the loan? (Round your answer up to the next whole number.)
  payments


(c) How much does she pay in total over the life of the loan by paying $400 per month rather than the required payment?
$


If instead of paying $400 per month she only paid the required payment every month, how much would she have paid in total over the life of the loan? (Round your answer to the nearest cent.)
$


How much will she save by paying $400 per month rather than the required payment? (Round your answer to the nearest cent.)