A print shop borrows $$9200$ from a credit union for $307$ days. The credit union charges simple interest at an annual rate of $5\mathrm{.}75\%$ for this loan. Assume each day is $\frac{1}{365}$ of a year. Answer each part beliw. $($a$)$ Find the interest that will be owed after $307$ days. $($b$)$ Assuming the print shop doesnt make any payments, find the amount owed after $307$ days.