Your rich uncle has offered to put you through college. Your annual tuition payments will begin one year from today, and there will be a total of four payments. Each payment is $$25,000.$ If your uncle can invest funds into an account paying an annual return of $7.$ percent,

A$)$ How much does he need to deposit today to cover the four payments?

$(4$ marks$)$

B$)$ How much will be in the account immediately after the first tuition payment?

$(3$ marks$)$

C$)$ How much will be in the account immediately after the last tuition payment? Please show your calculations from year $2$ to year $4$ to substantiate your answer.

$(5$ marks$)$