To find out how many hours Shantel must work each month to earn a monthly profit of at least $600.00, we first need to determine her target total earnings.
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Calculate the target earnings needed:
- Total expenses: $3,200.00
- Desired profit: $600.00
- Therefore, the total earnings she needs to cover her expenses and achieve her desired profit is: \[ \text{Total earnings} = \text{Total expenses} + \text{Desired profit} = 3,200 + 600 = 3,800 \text{ dollars} \]
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Calculate the number of hours required to achieve the target earnings:
- Shantel charges $25.00 per hour.
- Let \( h \) be the number of hours she needs to work. The equation for total earnings based on her hourly rate is: \[ 25h = 3,800 \]
Now, solve for \( h \): \[ h = \frac{3,800}{25} = 152 \]
Therefore, Shantel must work at least 152 hours each month to earn a monthly profit of at least $600.00.