$($Present value of an annuity$)$ What is the present value of a$($n$)6-$year annuity that pays $$2,000$ annually, given a discount rate of $12$ percent?

The present value of the annuity is $ $q,($ROUND TO THE NEAREST CENT$)$

$2.($Related to The Business of Life: Saving for Retirement$)($Future value of an ordinary annuity$)$ You are graduating from college at the end of this semester and after reading the The Business of Life box in this chapter, you have decided to invest $$4,100$ at the end of each year into a Roth IRA for the next $42$ years. If you eam $9$ percent compounded annually on your investment,

A$.$ how much will you have when you retire in $42$ years?

B$.$ How much will you have if you wait $10$ years before beginning to save and only make $32$ payments into your retirement account?

$3.($Annuity interest rate$)$ You've been offered a loan of $$45,000,$ which you will have to repay in $9$ equal annual payments of $$8,000,$ with the first payment due one year from now.

What interest rate would you pay on that loan? $($round to two decimal places$)$