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 $$ 1.6 \% $$ of the average daily balance. Calculate parts a-d using the statement in the popup. Click the icon to view the credit card statement. a. Find the average daily balance for the billing period. Round to the nearest cent. The average daily balance for the billing period is $$ \$ \square $$. (Round to the nearest cent as needed.)

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We begin by recalling that when interest is computed by the average daily balance method, you first need to know the balance on each day of the billing period. Then the average daily balance is given by

$$
\text{Average Daily Balance} = \frac{\sum (\text{balance on day } i \times \text{number of days at that balance})}{\text{number of days in the billing period}}.
$$

Because your problem refers to “the transactions described in the popup” on the credit card statement, we need the specific dates and amounts of the transactions (for example, the starting balance, any purchases, payments, or credits, and the number of days each balance was in effect) to proceed with the calculation.

For instance, if the billing period is 30 days and the cardholder had a balance of $$\$1\,000$$ for 10 days and then a balance of $$\$500$$ for 20 days (perhaps after a payment), the calculation would be

$$
\text{Average Daily Balance} = \frac{10(\$1\,000) + 20(\$500)}{30} = \frac{\$10\,000 + \$10\,000}{30} = \frac{\$20\,000}{30} \approx \$666.67.
$$

Since the actual daily balances from the statement are not given here, please supply the transaction details (the dates and amounts for the changes in balance) or the full text of the credit card statement popup so we can perform the precise calculation and round the final average daily balance to the nearest cent.
To find the average daily balance for the billing period, you need to know the balance on each day and the number of days each balance was in effect. Once you have that information, add up the product of each day's balance and the number of days, then divide by the total number of days in the billing period. Round the result to the nearest cent.

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