$5-44.$ To purchase a used automobile, you borrow

$$10,000$ from Loan Shark Enterprises. They tell you the

interest rate is $1\%$ per month for $35$ months. They also

charge you $$200$ for a credit investigation, so you leave

with $$9,800$ in your pocket. The monthly payment they

calculated for you is

$\frac{\text{\$}10,000(0\mathrm{.}1)(35)+\text{\$}10,000}{35}=$$$\frac{385\mathrm{.}71}{m}$onth.

If you agree to these terms and sign their contract, what

is the actual APR $($annual percentage rate$)$ that you are

paying? $(5\mathrm{.}6)$

$($Engineering Economy $7$th Edition $-$Sullivan, Wicks, Koelling$)$