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8 April, 07:05

Sonya, who is paid time and a half for hours worked in excess of 40 hours, had gross weekly wages $725 for 52 hours worked. What is her regular hourly rate?

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  1. 8 April, 07:08
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    Answer: her regular hourly rate is $12.5

    Step-by-step explanation:

    Let x represent the regular payment that Sonya receives per hour for the first 40 hours of work. This means that her total pay for the first 40 hours of work is

    40 * x = $40x

    Sonya is paid time and a half for hours worked in excess of 40 hours. This means that her hourly pay for working more than 40 hours would be x + 0.5x = $1.5x

    She worked for 52 hours. This means that the extra hours that she worked is

    52 - 40 = 12 hours

    Total pay for 12 extra hours is

    12 * 1.5x = 18x

    If she had gross weekly wages of $725, then

    40x + 18x = 725

    58x = 725

    x = 725/58 = $12.5
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