$21)$ Janet Boyle intends to deposit $$300$ per year in a credit union for the next $10$ years, andthe credit union pays an annual interest rate of $8\%.$a$.$ Determine the future value that Janet will have in $10$ years, given that end$-$of$-$perioddeposits are made and no interest is withdrawn, if$1.$ $$300$ is deposited annually and the credit union pays interest annually$\mathrm{.}2.$ $$150$ is deposited semiannually and the credit union pays interest semiannually$\mathrm{.}3.$ $$75$ is deposited quarterly and the credit union pays interest quarterly.b$.$ Use your findings in part a to discuss the effect of more frequent deposits andcompounding of interest on the future value of an annuity$\mathrm{.}2)$ What is the present value of the following future amounts:a$)$ $$800$ to be received $10$ years from now and discounted back to the present at $10\%$compounded annuallyb$)$ $$300$ to be received $5$ years from now and discounted back to the present at $5\%$compounded semi annuallyc$)$ $$1000$ to be received $8$ years from now and discounted back to the present value at$3\%$ compounded monthlyd$)$ $$1000$ to be received $8$ years from now and discounted back to the