Suppose your VISA card calculates interest using the average daily balance method, and the monthly interest rate is $2\%.$ The itemized billing for the month of April is shown below.

Detail Date Amount

Unpaid balance April $1$ $$575$

Charge April $3$ $$485$

Charge April $11$ $$650$

Charge April $15$ $$470$

Payment received April $28$ $$275$

Last day of billing period April $30$

Payment due date May $7$

$($a$)$ Find the average daily balance. $

$($b$)$ Find the interest due for this month. $

$($c$)$ Find the total balance owed on the last day of the billing period. $

$($d$)$ This credit card requires a $$20$ minimum payment or $1/36$ of the amount due, whichever is higher. What is the minimum monthly payment due for this month? $