a$.$ The cost of a new automobile is $$11,300.$ If the interest rate is $9\%,$ how much would you have to set aside now to provide this

sum in nine years?

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

b$.$ You have to pay $$16,000$ a year in school fees at the end of each of the next ten years. If the interest rate is $12\%,$ how much do

you need to set aside today to cover these bills?

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

c$.$ You have invested $$160,000$ at $12\%.$ After paying the above school fees, how much would remain at the end of the ten years?

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