$8.$ Michael wants to have $$62,000$ in $8$ years on a savings plan that requires monthly contributions. If he can earn $12$ percent APR with monthly compounding on the savings plan, what is the amount that he will have to invest every month for the next $8$ years? Round it to two decimal places and do not include the $ sign, e$.$g$.,1234\mathrm{.}56.$

$9.$ Suppose you borrow $$20,000$ from your bank to buy a car. You agree to pay $$388\mathrm{.}52$ per month for $60$ months. What is the interest rate $($APR$)$ for the loan?

Question $9$ options:

$5\%$

$5\mathrm{.}6\%$

$6\mathrm{.}2\%$

$6\mathrm{.}8\%$

$7\mathrm{.}4\%$

$8\%$

$10.$Suppose you plan to retire in $40$ years. If you make annual contributions of $$13,000$ into your retirement account for the first $8$ years, and no more contributions to the account for the remaining $32$ years. If the retirement account earns a fixed $9\%$ annual interest, how much will you have at your retirement?

Question $10$ options:

$$2,195,341$

$$2,218,441$

$$2,243,791$

$$2,259,991$

$$2,282,491$

$$2,310,841$