You have a credit card that charges an interest rate of $19\mathrm{.}5\%$ compounded monthly. The table below shows your activity for the month of April. $($April has $30$ days, which is the number of days in the billing cycle.$)$ The Average Daily Balance is $524\mathrm{.}60.$ Please ecplain what math is being done. Thank you.

$\backslash$table$[[$Date$,$Activity,$