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Let's calculate the average daily balance for this credit card account based on the provided information.

### Step-by-Step Breakdown:

1. **Initial balance on November 1:**  
   The balance is $1050 from November 1 until November 6 (when a purchase is made).

2. **Purchase on November 6:**
   A purchase of $100 is made, bringing the balance to $1150 from November 6 to November 13 (when a payment is made).

3. **Payment on November 13:**
   A payment of $400 is made, reducing the balance to $750 from November 13 until the billing date, December 1.

### Average Daily Balance Formula:
\[
\text{Average Daily Balance} = \frac{\sum (\text{daily balance} \times \text{days at that balance})}{\text{total days in billing period}}
\]

Here, the billing period is from November 1 to November 30, so we have 30 days in total.

#### Calculations:

- **November 1 - November 5 (5 days):**  
  Balance = $1050  
  Contribution to average balance = $1050 \times 5 = 5250$

- **November 6 - November 12 (7 days):**  
  Balance = $1150  
  Contribution to average balance = $1150 \times 7 = 8050$

- **November 13 - November 30 (18 days):**  
  Balance = $750  
  Contribution to average balance = $750 \times 18 = 13500$

#### Total Average Daily Balance:
\[
\text{Total Contribution} = 5250 + 8050 + 13500 = 26700
\]
\[
\text{Average Daily Balance} = \frac{26700}{30} = 890
\]

The closest option to this calculated average is **$893.33**.

### Answer:  
The average daily balance is approximately **$893.33**.

Do you need any further details or have questions?

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Here are some related questions:

1. What is the difference between average daily balance and adjusted balance methods?
2. How does making an earlier payment affect the average daily balance?
3. How is interest typically calculated on credit cards using the average daily balance?
4. If another payment was made on November 25, how would the average balance change?
5. Can the average daily balance method work with variable interest rates?

**Tip:** Keeping your credit card balance low or making early payments can reduce interest charges significantly!

A credit card has a balance of $1050 on November 1. A purchase of $100 was made on November 6 and a payment of $400 was made on November 13. The billing date is December 1. Find the average daily balance.

This problem demonstrates how to calculate the average daily balance for a credit card account based on purchases and payments made throughout a billing period. With an initial balance of $1050, a $100 purchase on November 6, and a $400 payment on November 13, learn how the average daily balance is derived. Suitable for students in Grades 9-12.

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