To pay for car repairs, you take out a simple interest loan for $$1580$ at a rate of $9\mathrm{.}5\%$ for $120$ days. Answer parts $($a$)-($c$).$

a$.$ Find the interest you will pay if the lender uses the Banker's Rule $(360$ days in a year$).$

The interest you will pay if the lender uses the Banker's Rule will be $

$($Do not round until the final answer. Then round to the nearest cent as needed.$)$