To calculate the total earnings of the worker before going on vacation, we can follow these steps:
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Determine the daily earnings: \[ \text{Daily earnings} = \text{Hourly wage} \times \text{Hours worked per day} \] \[ \text{Daily earnings} = 12 , \text{dollars/hour} \times 12 , \text{hours} = 144 , \text{dollars} \]
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Calculate the total earnings for the 12 days worked: \[ \text{Total earnings} = \text{Daily earnings} \times \text{Number of days worked} \] \[ \text{Total earnings} = 144 , \text{dollars/day} \times 12 , \text{days} = 1728 , \text{dollars} \]
Therefore, the worker earned $1728 before going on vacation.