Tom up a savings fund for his son's education

so that he would be able to withdraw $$1,550$ at the beginning of every month for the next $6$ years. The fund earns $4\mathrm{.}98\%$ compounded quarterly.

a$.$ What amount should he deposit today to allow for the $$1,550$ periodic withdrawals?

b$.$How much interest would he earn in this investment?

Blake invested $$1,800$ at the beginning of every $6$ months in an RRSP for $11$ years. For the first $8$ years it earned interest at a rate of $4\mathrm{.}40\%$ compounded semi$-$annually and for the next $3$ years it earned interest at a rate of $6\mathrm{.}40\%$ compounded semi$-$annually.

a$.$ Calculate the accumulated value of his investment after the first $8$ years.

b$.$ Calculate the accumulated value of his investment at the end of $11$ years.

c$.$ Calculate the amount of interest earned from the investment.