You want to buy a new car, but you can make an initial payment of only $$2,800$ and can afford monthly payments of at most $$600.$

a$.$ 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.

Answer is complete but not entirely correct.

$\backslash$table$[[$Maximum price,$$,22,554\mathrm{.}25***$