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 |
Credit Card Balance 8517D0
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