Subjects finance

Credit Card Balance 8517D0

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1. **State the problem:** We need to complete the credit card balance table for month 4, given payments, expenses, and monthly interest rate of 0.5% applied to the previous month's balance. 2. **Formula for interest:** Interest for month $n$ is calculated as $$\text{Interest}_n = 0.005 \times \text{Balance}_{n-1}$$ where 0.005 is 0.5% expressed as a decimal. 3. **Calculate interest for month 4:** The balance at month 3 is $184.03$, so $$\text{Interest}_4 = 0.005 \times 184.03 = 0.92015 \approx 0.92$$ 4. **Calculate new balance for month 4:** Use the formula $$\text{New Balance}_n = \text{Balance}_{n-1} - \text{Payment}_n + \text{Expenses}_n + \text{Interest}_n$$ Substitute values for month 4: $$\text{New Balance}_4 = 184.03 - 500 + 450 + 0.92 = 184.03 - 50 + 0.92 = 134.95$$ 5. **Final answer:** The interest for month 4 is $0.92$ and the new balance after month 4 is $134.95$. Thus, the completed row for month 4 is: | Month | Payment | Expenses | Interest | New Balance | |-------|---------|----------|----------|-------------| | 4 | 500 | 450 | 0.92 | 134.95 |