1. **State the problem:** We have a credit card account with an initial balance of $400 and monthly interest of 0.5% on the previous month's balance. We need to complete the table for month 5 by calculating the interest and new balance.
2. **Formula for interest:** Interest for month $n$ is calculated as $$\text{Interest}_n = 0.005 \times \text{Balance}_{n-1}$$ where 0.5% = 0.005 as a decimal.
3. **Calculate interest for month 5:** The balance at month 4 is $134.95$.
$$\text{Interest}_5 = 0.005 \times 134.95 = 0.67475 \approx 0.67$$ (rounded to nearest cent)
4. **Calculate new balance for month 5:** Use the formula
$$\text{New Balance}_5 = \text{Balance}_4 - \text{Payment}_5 + \text{Expenses}_5 + \text{Interest}_5$$
Substitute values:
$$= 134.95 - 0 + 60 + 0.67 = 195.62$$
5. **Summary:** For month 5, interest is $0.67$ and new balance is $195.62$.
Final answer:
Month 5 Interest = $0.67$
Month 5 New Balance = $195.62$
Credit Card Balance B77A55
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