For the month of April, a checking account has a balance of \( \$ 509 \) for 25 days, \( \$ 2400 \) for 2 days, and \( \$ 247 \) for 3 days. What is the account's mean daily balance for April? The account's mean daily balance for April is approximately \( \$ \square \) (Round to two decimal places as needed.)

To calculate the mean daily balance for April, follow these steps: 1. **Calculate the total sum of daily balances:** \[ \text{Total} = (\$509 \times 25 \text{ days}) + (\$2400 \times 2 \text{ days}) + (\$247 \times 3 \text{ days}) \] \[ \text{Total} = (\$12,725) + (\$4,800) + (\$741) = \$18,266 \] 2. **Determine the number of days in April:** \[ \text{Total Days} = 25 + 2 + 3 = 30 \text{ days} \] 3. **Calculate the mean daily balance:** \[ \text{Mean Daily Balance} = \frac{\$18,266}{30} \approx \$608.87 \] **Answer:** The account's mean daily balance for April is approximately \$608.87