EG$1($LO $1)($Using Interest Tables$)$ For each of the following cases, indicate $($a$)$ to what rate columns, and $($b$)$ to what number of periods you would refer in looking up theinterest factor.

$\backslash$table$[[$: Annual Rate,Number of Years Invested,Compounded$],[$a$.9\%,9,$Annually$],[$b$.12\%,5,$Quarterly$],[$c$.10\%,15,$Semiannually$]]$

In a present value of an annuity of $1$ table:

$\backslash$table$[[$Annual Rate, Number

$of$

Years $,$Number of Rents,Frequency of$],[,$Involved,Involved,Rents$],[$a$.9\%,25,25,$Annually$],[$b$.10\%,15,30,$Semiannually$],[$c$.12\%,7,28,$Quarterly$]]$

E$6\mathrm{.}4(L{O}_3,4)($Computation of Future Values and

Present Values$)$ Using the appropriate interest table, answer the following questions. $($Each case is independent of the others.$)$

a$.$ What is the future value of $20$ periodic payments of

vdots$$4,000$ each made at the beginning of each period and compounded at $8\%?$

b$.$ What is the present value of $$2,500$ to be received at the beginning of each of $30$ periods, discounted at $5\%$ compound interest?

c$.$ What is the future value of $15$ deposits of $$2,000$ each made at the beginning of each period and compounded at $10\%?($Future value as of the end of the fifteenth period.$)$

d$.$ What is the present value of six receipts of $$1,000$ each received at the beginning of each period, discounted at $9\%$ compounded interest?