Dennis Lamenti wants to buy a new car that costs $$15,468\mathrm{.}17.$ He has two possible loans in mind. One loan is through the car dealer; it is a four$-$year add$-$on interest loan at $7\frac{3}{4}\%$ and requires a down payment of $$1,000.$ The second is through his bank; it is a four$-$year simple interest amortized loan at $7\frac{3}{4}\%$ and requires a down payment of $$1,000.($Round your answers to the nearest cent.$)$

$($a$)$ Find the monthly payment for each loan.

dealer $

bank $

$($b$)$ Find the total interest paid for each loan.

dealer $

bank $

$($c$)$ Which loan should Dennis choose? Why?

Dennis should choose the car dealer loan since the interest is less.

Dennis should choose the bank loan since the interest is less.