To calculate your total earnings, we'll first determine the total hours you worked.
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First Shift:
- Clock in: 07:45
- Clock out: 12:00
The time worked during this shift is: \( 12:00 - 07:45 = 4 \text{ hours and } 15 \text{ minutes} \)
To convert 15 minutes into hours: \( 15 \text{ minutes} = \frac{15}{60} = 0.25 \text{ hours} \)
Therefore, the total for the first shift: \( 4 + 0.25 = 4.25 \text{ hours} \)
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Second Shift:
- Clock in: 12:45
- Clock out: 17:15
The time worked during this shift is: \( 17:15 - 12:45 = 4 \text{ hours and } 30 \text{ minutes} \)
Converting 30 minutes into hours: \( 30 \text{ minutes} = \frac{30}{60} = 0.5 \text{ hours} \)
Therefore, the total for the second shift: \( 4 + 0.5 = 4.5 \text{ hours} \)
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Total Hours Worked: Now we will add both shifts together: \( 4.25 + 4.5 = 8.75 \text{ hours} \)
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Calculate Earnings: You earn $13 per hour. Therefore, your total earnings for the week will be: \( 8.75 \text{ hours} \times 13 \text{ dollars/hour} = 113.75 \text{ dollars} \)
So, you made $113.75.