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5 March, 06:51

Some jobs pay a commission plus a bonus at the end of the year. The bonus may be the percent

of the salesperson's total commission. Madelyn Carr is a sales representative for a luxury home

builder. She receives 7% commission on all sales. At the end of the year, she receives a bonus of

5% of her commission, (a) What is her gross pay for a year in which she had sales totaling

6412,454? (b) What would be Madelyn's gross pay be if her sales were $316,250?

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  1. 5 March, 07:07
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    a) If Sales = $6412454, then Gross Pay = $471315.369.

    If Sales = $412454, then Gross Pay = $30315.369.

    b) If Sales = $316250, then Gross Pay = $23244.375.

    Step-by-step explanation:

    This is a simple question. Madelyn earns a commission plus a bonus from her job. The commission is 7% of sales and the bonus is 5% of the commission. Therefore:

    a) If her sales are $6412454, then her gross pay will include:

    Gross Pay = $6412454 * 7% + ($6412454 * 7%) * 5%.

    Gross Pay = $448871.78 + $22443.589.

    Gross Pay = $471315.369.

    I assume there is a typo in the question, so just in case, I will also calculate the gross pay for her sales equaling $412454.

    Gross Pay = $412454 * 7% + ($412454 * 7%) * 5%.

    Gross Pay = $28871.78 + $1443.589.

    Gross Pay = $30315.369.

    b) If her sales are $316250, then her gross pay will include:

    Gross Pay = $316250 * 7% + ($316250 * 7%) * 5%.

    Gross Pay = $22137.5 + $1106.875.

    Gross Pay = $23244.375.

    To summarize:

    If Sales = $6412454, then Gross Pay = $471315.369!

    If Sales = $412454, then Gross Pay = $30315.369!

    If Sales = $316250, then Gross Pay = $23244.375!
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