Here is Keisha's credit card statement for the month of May.

$($a$)$ Use the credit card statement to help fill in the table below. Note that there are $31$ days in May. Also, a purchase increases the unpaid balance, and a

payment decreases the unpaid balance.

Total: $31$ days

Total:

$($b$)$ Find the average daily balance. Write your answer to the nearest cent.

$$$

$($c$)$ Suppose the credit card company charges an interest rate of $1\mathrm{.}4\%$ on the average daily balance for May found

in part $($b$).$ How much interest will be charged? Write your answer to the nearest cent.

$$$

$($d$)$ What will Keisha's beginning balance be for the month of June $($including the interest for May found in part $($c$))?$