For the credit card account, assume one month between billing dates $($with the appropriate number of days$)$ and interest of $1\mathrm{.}6\%$ 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: $$737\mathrm{.}46,],[$July $7,$Billing Date,$],[$July $18,$Payment,$$300$