For the credit card account, assume one month between billing dates $($with the appropriate number of days$)$ and interest of $1\mathrm{.}2\%$ per month on the average daily balance. Find $($a$)$ the average daily balance, $($b$)$ the monthly finance charge, and $($c$)$ the account balance for the next billing.

$\backslash$table$[[$Previous$,$Balance: $$764\mathrm{.}88,],[$July $6,$Billing Date,$],[$July $15,$Payment,$$200$