You have saved $$500$ to use as a down payment on a car. Before beginning your car shopping, you decide to write a program to help you figure out what your monthly payment will be$,$ given the car$$s purchase price, the monthly interest rate, and the time period over which you will pay back the loan. The formula for calculating your payment is

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where

P $=$ principal $($the amount you borrow$)$

i $=$ monthly interest rate $(1/12$ of the annual rate$)$

n $=$ total number of payments

Your program should prompt the user for the purchase price, the annual interest rate, and the total number of payments $($usually $36,48,$ or $60).$ It should then display the amount borrowed and the monthly payment including a dollar sign and two decimal places.

TEST your Program for the following problem:

You just bought a cool Red F$150$ Truck for $$40,000.$

Compute your monthly payments for the financing options:

$(1)60$ months @ $4\mathrm{.}20\%$ APR

$(2)48$ months @ $4\mathrm{.}20\%$ APR

$(3)36$ months @ $4\mathrm{.}54\%$ APR