ravis Thompson uses his credit card to obtain a cash advance of$$ $$600$ to pay for his textbooks in medical school. The interest rate charged for the loan is $0\mathrm{.}05648\%$ per day. Travis repays the money plus the interest after $23$ days.

$$a$)$ Determine the interest charged for the cash advance.

$$b$)$ When he repaid the$$ loan, how much did he pay the credit card$$ company?