A car dealership offers a loan with $4\mathrm{.}1\%$ interest for $48$ months, and you plan to purchase a car for $$23,000.$ You can afford a down payment of $$4,000.$

$($a$)$ What will your monthly payment be$?$ $

$($b$)$ How much will you pay in total for the car? $

$($c$)$ How much will you pay in interest over the life of the loan? $