Some lenders allow you to repay a loan early, which reduces the amount of interest you pay. Assume $365$ days in a year.

To cover some unexpected expenses, you take out a simple interest loan for $$1500$ at a rate of $6\mathrm{.}1\%$ for up to one year. The lender allows you to repay the loan anytime during the year. Answer parts $($a$)-(c).$

a$.$ Find the interest you will pay if you repay the loan at the end of the year.

The interest you will pay if you repay the loan at the end of the year will be $$91\mathrm{.}50.$

$($Round to the nearest cent as needed.$)$

b$.$ Find the interest you will pay if you repay the loan after $30$ days.

The interest you will pay if you repay the loan after $30$ days is $

$($Round to the nearest cent as needed.$)$