The credit card with the transactions described in the popup below uses the average daily balance method to calculate interest. The monthly interest rate is $1\mathrm{.}6\%$ of the average daily balance. Calculate parts$$ a$-$d using the statement in the popup.

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Part $1$

a$.$ Find the average daily balance for the billing period. Round to the nearest cent.

The average daily balance for the billing period is $$$

$$

enter your response here.

$($Round to the nearest cent as$$ needed.$)$