Chapter 3.1, Problem 6MP

A credit card has an annual interest rate of $16.99\%$, and interest is calculated by the average daily balance method. In a $30$ -day billing cycle, purchases of $\text{\$345}\text{.86}$ and $\text{\$246}\text{.71}$ were made on days $9$ and $16$, respectively, and a payment of $\$500.00$ was credited to the account on day $15$. If the unpaid balance at the start of the billing cycle was $\text{\$1,792}\text{.19}$, how much interest will be charged at the end of the billing cycle? What will the unpaid balance be at the start of the next billing cycle?