Tom and Suri decide to take a worldwide cruise. To do so$,$ they need to save $$30,000.$ They plan to invest $$4,000$ at the end of each year for the next seven years to earn $8\%$ compounded annually.

Required:

$1-$a$.$ Calculate the future value of the investment. $($FV of $$1,$ PV of $$1,$ FVA of $$1,$ and PVA of $$1)$

$1-$b$.$ Will Tom and Suri reach their goal of $$30,000$ in seven years?