$1.$ A car is $$41,295,$ you get a $4\mathrm{.}5\%$ interest rate on a $48$ month $(4$ year loan$).$ Assuming you make a $20\%$ down payment, calculate your monthly payments over the life of the loan. That is$,$ determine your monthly loan payment. Show equation and work using desmos calculator.

$2.$ Still assuming you make a $20\%$ down payment, calculate your total payments made over the life of the loan. That is$,$ determine the total amount that you will pay for the loan. Show work.

$3.$ Using the information you acquired in steps $1$ and $2,$ calculate the amount of interest you are paying over the life of the loan, given that you made a $20\%$ down payment before acquiring the loan.