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Let's go through each part of this question, focusing on filling in the missing financial information in Mark Gilley's FlashCard statement.

### Given Information:
1. **Previous Balance**: $800.00
2. **Payments/Credits**: -$200.00
3. **New Purchases**: $342.00
4. **Total Credit Line**: $6,000.00
5. **Billing Cycle**: 31 days
6. **APR (Annual Percentage Rate)**: 18%
7. **Monthly Periodic Rate**: 1.5%

Now let’s tackle each part of the question.

### Solution:

#### Part (a): Average Daily Balance
The **average daily balance** can be calculated based on the balance at each point in the billing cycle. We’ll need to calculate the daily balance after each transaction up to the billing date (June 26).

Let’s outline the balances for each major date based on the transactions:

1. **May 31 - Linda’s Art Shop**: New Balance = $800.00 + $251.00 = $1,051.00
2. **June 12 - Artisign’s Inc.**: New Balance = $1,051.00 + $72.50 = $1,123.50
3. **June 18 - Payment**: New Balance = $1,123.50 - $200.00 = $923.50
4. **June 20 - Sylvart Corp.**: New Balance = $923.50 + $18.50 = $942.00

Using these balances, we calculate the average daily balance by summing the daily balances for each segment of the billing period, then dividing by the total days (31).

#### Part (b): Finance Charge
The **finance charge** is calculated by applying the monthly periodic rate (1.5%) to the average daily balance:
\[
\text{Finance Charge} = \text{Average Daily Balance} \times 0.015
\]

#### Part (c): New Balance
The **new balance** is determined by adding the finance charge to the previous balance after all credits and purchases:
\[
\text{New Balance} = (\text{Previous Balance} - \text{Payments/Credits} + \text{New Purchases}) + \text{Finance Charge}
\]

#### Part (d): Available Credit
The **available credit** is calculated by subtracting the new balance from the total credit line:
\[
\text{Available Credit} = \text{Total Credit Line} - \text{New Balance}
\]

Would you like a more detailed calculation for each step? 

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### Additional Questions:
1. How would an increased APR affect Mark’s finance charge?
2. What if Mark made an additional payment before the billing date—how would that impact the average daily balance?
3. If new purchases were made after the billing date, how would that influence the next statement?
4. How does the monthly periodic rate relate to the APR?
5. What if Mark’s available credit limit changed—how would that impact his statement?

### Tip:
Always monitor transaction dates carefully; they significantly impact the average daily balance and resulting finance charges.

Use Mark Gilley's FlashCard statement. There is an error in his bill. The average daily balance, finance charge, available credit, and new balance amounts are not filled in. a. What is Mark's average daily balance? b. What is Mark's finance charge? c. What is Mark's new balance? d. What is Mark's available credit?

Learn how to calculate the average daily balance, finance charge, new balance, and available credit for Mark Gilley's FlashCard statement. This detailed solution involves key finance concepts and calculations, ideal for high school students in Grades 9-12.

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