Future Values. Using Table $1-1,$ calculate the following:

$($a$)$The future value of lump$-$sum investment of $$4,000$ in four years that earns $5$ percent.

$($b$)$The future value of $$1,500$ saved each year for three years that earns $6$ percent.

$($c$)$A person who invests $$1,200$ each year finds one choice that is expected to pay $3$ percent per year and another choice that may pay $4$ percent. What is the difference in return if the investment is made for four years?

$($c$)$The amount a person would need to deposit today with a $5$ percent interest rate to have $$2,000$ in three years.