Chapter 3.1, Problem 85E

In Problems $83\text{-}86$, assume that the annual interest rate on a credit card is $19.99\%$ and interest is calculated by the average daily balance method.

The unpaid balance at the start of a $30$ -day billing cycle was. A purchase of $\text{\$49}\text{.82}$ was made on day $15$.No payment was made during the billing cycle and a late fee of $\text{\$37}$ was charged to the account on day $25$. Find the unpaid balance at the end of the billing cycle.