Math Problem Statement
Solution
To calculate the average daily balance for the billing period, we need to account for the balance on each day during the billing cycle based on the transactions made.
Step-by-Step Process:
-
March 1 - March 5 (5 days):
- Balance starts at $6220.00.
-
March 5 (Payment of $350):
- New balance = $6220.00 - $350.00 = $5870.00.
-
March 5 - March 7 (2 days):
- Balance = $5870.00.
-
March 7 (Charge of $50 for Restaurant):
- New balance = $5870.00 + $50.00 = $5920.00.
-
March 7 - March 12 (5 days):
- Balance = $5920.00.
-
March 12 (Charge of $90 for Groceries):
- New balance = $5920.00 + $90.00 = $6010.00.
-
March 12 - March 21 (9 days):
- Balance = $6010.00.
-
March 21 (Charge of $240 for Car Repairs):
- New balance = $6010.00 + $240.00 = $6250.00.
-
March 21 - March 31 (10 days):
- Balance = $6250.00.
Calculating the Average Daily Balance:
Now, multiply each balance by the number of days it was held, sum them up, and divide by the total number of days in the billing cycle (31 days).
Final Answer:
The average daily balance is $5906.77.
Would you like any further details or explanations? Here are some related questions to consider:
- How do different transactions affect the average daily balance?
- What would be the impact of an additional payment within the billing cycle?
- How is the monthly interest calculated using the average daily balance?
- How would the average daily balance change if one of the charges was larger?
- What is the importance of paying off the balance before the due date?
Tip: Always track your balances carefully during each billing cycle to minimize interest charges.
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Math Problem Analysis
Mathematical Concepts
Average Daily Balance Calculation
Arithmetic
Interest Calculation
Formulas
Average Daily Balance = (Sum of (Balance × Number of Days Held)) / Total Number of Days
Theorems
Arithmetic Operations
Suitable Grade Level
Grades 9-12
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