In Problem assume that the annual interest rate on a credit card is 25.74% and interest is calculated by the average daily balance method.

The unpaid balance at the start of a 28-day billing cycle was $1,472.35. Purchases of $154.15 and $38.76 were made on days 5 and 12, respectively, and a payment of $250 was credited to the account on day 18. Find the unpaid balance at the end of the billing cycle.