Math

QuestionRandi earned \$18,400, \$19,700, and \$21,600 over three years.
6. Find total earnings for three years.
7. Find average earnings per year.
8. What must she earn next year for a four-year average of \$21,000?

Studdy Solution

STEP 1

Assumptions1. Randi's earnings for the past two years are \$18,400 and \$19,700 respectively. . Randi's earnings for this year are \$21,600.
3. We are asked to find the total earnings for the three years, the average earnings per year, and the amount Randi would need to earn next year for her four-year average to be \$21,000.

STEP 2

First, we need to find the total amount Randi earned over the three years. We can do this by adding her earnings for each year.
Totalearnings=arningstwoyearsago+arningslastyear+arningsthisyearTotal\, earnings =arnings\, two\, years\, ago +arnings\, last\, year +arnings\, this\, year

STEP 3

Now, plug in the given values for the earnings to calculate the total earnings.
Totalearnings=$18,400+$19,700+$21,600Total\, earnings = \$18,400 + \$19,700 + \$21,600

STEP 4

Calculate the total earnings.
Totalearnings=$18,400+$19,700+$21,600=$59,700Total\, earnings = \$18,400 + \$19,700 + \$21,600 = \$59,700

STEP 5

Now that we have the total earnings, we can find the average earnings per year. This can be done by dividing the total earnings by the number of years.
Averageearnings=Totalearnings/NumberofyearsAverage\, earnings = Total\, earnings / Number\, of\, years

STEP 6

Plug in the values for the total earnings and the number of years to calculate the average earnings.
Averageearnings=$59,700/3Average\, earnings = \$59,700 /3

STEP 7

Calculate the average earnings per year.
Averageearnings=$59,700/3=$19,900Average\, earnings = \$59,700 /3 = \$19,900

STEP 8

Now, we need to find out how much Randi would need to earn next year for her four-year average to be \$21,000. We can do this by multiplying the desired average by the number of years, and then subtracting the total earnings so far.
arningsnextyear=DesiredaveragetimesNumberofyearsTotalearningsarnings\, next\, year = Desired\, average \\times Number\, of\, years - Total\, earnings

STEP 9

Plug in the values for the desired average, the number of years, and the total earnings to calculate the earnings needed next year.
arningsnextyear=$21,000times4$59,700arnings\, next\, year = \$21,000 \\times4 - \$59,700

STEP 10

Calculate the earnings needed next year.
arningsnextyear=$21,000times4$59,700=$24,300arnings\, next\, year = \$21,000 \\times4 - \$59,700 = \$24,300Randi will have earned \$59,700 over the three years, her average earnings per year are \$19,900, and she would need to earn \$24,300 next year for her four-year average to be \$21,000.

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