Some jobs pay a commission plus a bonus at the end of the year. The bonus may be a 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 $412,454? (b) What would Madelyn's gross pay
be if her sales were $316,250?

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!!!

square root of 36/6 = 2.449489743

square root of 16/6 = 1.632993162

square root of 6 = 2.449489743

the answer is square root of 16/6 because the square root of 36/6 is the same answer as square root of 6 = 2.449489743