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15 August, 18:34

One employee of a computer store is paid a base salary of $2,000 a month plus an 8% commission on all sales over $7,000 during the month. How much must the employee sell in one month to earn a total of $4,000 for the month?

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  1. 15 August, 20:55
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    Answer: the employee must make sales of $32000

    Step-by-step explanation:

    Let x represent the total sales that the employee makes in a month.

    One employee of a computer store is paid a base salary of $2,000 a month plus an 8% commission on all sales over $7,000 during the month. This means that if the employee makes sales of $x in a month, his total earnings for that month would be

    2000 + 8/100 (x - 7000)

    = 2000 + 0.08 (x - 7000)

    = 2000 + 0.08x - 560

    = 0.08x + 1440

    Therefore, for the employee to earn

    a total of $4,000 for the month, the amount of sales would be

    0.08x + 1440 = 4000

    0.08x = 4000 - 1440

    0.08x = 2560

    x = 2560/0.08

    x = $32000
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