You want to buy a new car, but you can make an initial payment of only $$2,000$ and can afford monthly payments of at most $$400.$

If the APR on auto loans is $12\%$ and you finance the purchase over $48$ months, what is the maximum price you can pay for the car?

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.

How much can you afford if you finance the purchase over $60$ months?

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.