In Problem 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 $725.38. A purchase of $49.82 was made on day 15. No payment was made during the billing cycle and a late fee of $37 was charged to the account on day 25. Find the unpaid balance at the end of the billing cycle.