Questions: The estimate of that person's hourly wage is approximately 30. (Round to the nearest dollar as needed.) Use 52 weeks a year to find the actual hourly wage. The actual hourly wage is (Round to the nearest cent as needed.)

Solution Steps

To find the actual hourly wage, we need to determine the total annual earnings and then divide by the total number of work hours in a year. Assuming a standard full-time work schedule of 40 hours per week, we can calculate the total number of work hours in a year by multiplying 40 hours by 52 weeks. Then, divide the total annual earnings by this number to find the hourly wage.

To find the total annual earnings, we multiply the estimated hourly wage by the number of hours worked per week and the number of weeks worked per year. Given:

• Estimated hourly wage = \$30
• Hours per week = 40
• Weeks per year = 52

The total annual earnings are calculated as: \[ \text{Annual Earnings} = 30 \times 40 \times 52 = 62400 \]

The actual hourly wage is determined by dividing the total annual earnings by the total number of work hours in a year. The total number of work hours in a year is: \[ \text{Total Work Hours} = 40 \times 52 = 2080 \]

Thus, the actual hourly wage is: \[ \text{Actual Hourly Wage} = \frac{62400}{2080} = 30.0 \]

Final Answer