Suppose your MasterCard calculates interest using the average daily balance method, and the monthly interest rate is $3\%.$ The itemized billing for the month of August is shown below.

$\backslash$table$[[$Detail$,$Date,Amount$],[$Unpaid balance,August $1,995],[$Charge$,$August $9,1175],[$Charge$,$August $10,260],[$Charge$,$August $18,380],[$Payment received,August $25,1130],[$Last day of billing period,August $31,],[$Payment due date,September $7,]]$

$($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 $$15$ minimum payment or $\frac{1}{24}$ of the amount due, whichever is higher. What is the minimum monthly payment due for this month? $