Dusty would like to buy a new car in five years. He currently has $$9,000$ saved. He's considering buying a car for around $$16,000$ but would like to add a Turbo engine to increase the car's performance. This would increase the price of the car to $$20,000.$

Required:

$1-$a$.$ If Dusty can earn $10\%$ interest, compounded annually, how much will he have in five years? $($FV of $$1,$ PV of $$1,$ FVA of $$1,$ and PVA of $$1$

$1-$b$.$ Will he be able to get a car with a Turbo engine in five years?