Math

QuestionCalculate total earnings for a cell phone distributor with a salary of \$28,000 and 17.5% commission on \$38,000 in sales.

Studdy Solution

STEP 1

Assumptions1. The yearly salary is 28,000.Thecommissionrateis17.528,000. The commission rate is17.5%<br />3. The total sales for the year are 38,0004. The total earnings are the sum of the yearly salary and the commission

STEP 2

First, we need to find the commission amount. We can do this by multiplying the total sales by the commission rate.
Commission=TotalsalestimesCommissionrateCommission = Total\, sales \\times Commission\, rate

STEP 3

Now, plug in the given values for the total sales and commission rate to calculate the commission.
Commission=$38,000times17.5%Commission = \$38,000 \\times17.5\%

STEP 4

Convert the percentage to a decimal value.
17.%=0.17517.\% =0.175Commission=$38,000times0.175Commission = \$38,000 \\times0.175

STEP 5

Calculate the commission amount.
Commission=$38,000times0.175=$,650Commission = \$38,000 \\times0.175 = \$,650

STEP 6

Now that we have the commission amount, we can find the total earnings for the year. This includes both the yearly salary and the commission.
Totalearnings=Yearlysalary+CommissionTotal\, earnings = Yearly\, salary + Commission

STEP 7

Plug in the values for the yearly salary and the commission to calculate the total earnings.
Totalearnings=$28,000+$6,650Total\, earnings = \$28,000 + \$6,650

STEP 8

Calculate the total earnings for the year.
Totalearnings=$28,000+$6,650=$34,650Total\, earnings = \$28,000 + \$6,650 = \$34,650The total earnings for the year when the sales are 38,000is38,000 is 34,650.

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