To offset college expenses, at the beginning of your freshman year you obtain a nonsubsidized student loan for $$5,000.$ Interest on this

Ioan accrues at a rate of $4\mathrm{.}15\%$ compounded monthly. However, you do not have to make any payments against either the principal or

the interest until after you graduate.

$($a$)$ Write a function that gives the total amount, $F,$ you will owe on this loan after $t$ years in college. $($Be sure to use $t$ as the

independent variable.$)$

$F(t)=5000(1*\frac{0\mathrm{.}0415}{12})12t$

gives the amount owed after

$($b$)$ What is the APR?

$\%$

$($c$)$ What is the APY? $($Round your answer to two decimal places.$)$

$\%$

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