A car's price is currently $$20,000$ and is expected to rise by $4\%$ a year.

a$.$ How much will the car be one year from now?

b$.$ If the interest rate is $6\%,$ how much do you need to put aside today to buy the car in part a$?$

c$.$ Instead of saving and paying for the car in a lump sum, next year, you're planning to make monthly payments for the car in part a to take advantage of the $5-$year financing plan from the dealer. How much will your monthly payments be$,$ assuming the dealer's financing rate is $12\%?$