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 $1\mathrm{.}5\%$ 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 $$$Transaction Description

Transaction Amount

Previous$$ balance, $$$$2650\mathrm{.}87$

June $1$

Billing date

June $6$

Payment

$$$$1200\mathrm{.}00$ credit

June $8$

$$Charge: Gas

$$$$35\mathrm{.}67$

June $9$

$$Charge: Groceries

$$$$136\mathrm{.}81$

June $17$

$$Charge: Gas

$$$$42\mathrm{.}36$

$$Charge: Groceries

$$$$125\mathrm{.}88$

June $27$

$$Charge: Clothing

$$$$213\mathrm{.}76$

June $30$

End of billing period

Payment Due$$ Date: July $9$