A credit card account had a $291 balance on March 5. A purchase of $158 was made on March 12, and a payment of $200 was made on March 28. Find the average daily balance if the billing date is April 5. (Round your answer to the nearest cent.)
$ 

To find the average daily balance, we need to calculate the balance for each day from March 5 to April 5. Here are the steps:

1. **Identify the number of days** for each balance:
   - From March 5 to March 12 (7 days), the balance is $291.
   - From March 12 to March 28 (16 days), the balance becomes $ 291 + 158 = 449 $.
   - From March 28 to April 5 (8 days), the balance becomes $ 449 - 200 = 249 $.

2. **Calculate the daily balance for each period** by multiplying the balance by the number of days it was in effect.

   - For the first period: $ 291 \times 7 = 2037 $
   - For the second period: $ 449 \times 16 = 7184 $
   - For the third period: $ 249 \times 8 = 1992 $

3. **Add the results** to get the total of all daily balances:
   \[
   2037 + 7184 + 1992 = 11213
   \]

4. **Calculate the average daily balance** by dividing the total daily balance by the number of days (31 days from March 5 to April 5):
   \[
   \frac{11213}{31} = 361.71
   \]

So, the **average daily balance** is **$361.71**.

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Would you like details on any of the steps? 

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### Further Questions:
1. What if there were additional transactions on other dates?
2. How does the average daily balance impact interest calculation?
3. What effect would a later or earlier payment date have on the balance?
4. Can you explain how daily balances differ from statement balances?
5. How would adding a second payment affect the average balance?

### Tip:
To avoid high interest, try paying off your balance before the end of each billing cycle.

A credit card account had a $291 balance on March 5. A purchase of $158 was made on March 12, and a payment of $200 was made on March 28. Find the average daily balance if the billing date is April 5. (Round your answer to the nearest cent.)

Learn how to calculate the average daily balance for a credit card account with a $291 balance and multiple transactions within the billing cycle. This guide includes a step-by-step solution and explains how to apply the average daily balance formula, suitable for Grades 9-10.

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