Credit Card Finance Charges. Troy has a credit card that charges $14\%$ on outstanding balances and on cash advances. The closing date on the credit card is the first of each month. Last month Troy left a balance on his credit card of $$348.$ This month Troy took out a cash advance of $$251$ and made $$565$ in purchases. Troy made a payment of $$383.$ What will the total of Troy's new balance be on his credit card statement, taking info account finance charges? $($Assume the adjusted balance method is used and finance charges on the cash advance are applied for the entire month$)$

The total of Troy's new balance on his next credit card statement, taking finance charges into account, is $$.($Round to the nearest cent.$)$