To calculate Ben's total earnings for the week, we need to determine his regular earnings for the first 40 hours and his overtime earnings for the additional 12 hours worked.
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Regular Pay for the First 40 Hours: \[ \text{Regular Pay} = \text{Hourly Rate} \times \text{Regular Hours} = 10.00 \times 40 = 400.00 \]
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Overtime Pay: Overtime is paid at time and a half, so: \[ \text{Overtime Rate} = \text{Hourly Rate} \times 1.5 = 10.00 \times 1.5 = 15.00 \] The number of overtime hours worked is: \[ \text{Overtime Hours} = 52 - 40 = 12 \] Therefore, the overtime pay is: \[ \text{Overtime Pay} = \text{Overtime Rate} \times \text{Overtime Hours} = 15.00 \times 12 = 180.00 \]
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Total Pay: Now we can calculate Ben's total pay for the week: \[ \text{Total Pay} = \text{Regular Pay} + \text{Overtime Pay} = 400.00 + 180.00 = 580.00 \]
So, the answer is $580.00.