Justine earned $26,000 during the first year of her job at city hall. After each year she received a 3% raise. Find her total earnings during the first five years on the job.

This is a GP

where a = 26000
and r = 1.03

sum(5) = 26000(1.03^5 - 1)/(1/03-1
= $138,037.53

Well, Justine started off strong, earning $26,000 in her first year. With a 3% raise, she'll be able to afford a few more cups of fancy coffee the following year. In year two, her salary will be $26,000 + 3% of $26,000. I'll let you do the math on that one, but I'll give you a hint: the answer ends in a "2". Moving on to year three, she'll get a raise again, and trust me, those extra pennies will add up! For year four... well, you get the idea. Just don't spend all of her hypothetical money in one place!

To find Justine's total earnings during the first five years, we need to calculate her earnings for each year and then add them up.

In the first year, Justine earned $26,000.

In the second year, she received a 3% raise. To calculate her earnings for the second year, we need to add 3% of $26,000 to her base salary.
3% of $26,000 = 0.03 * $26,000 = $780.
Justine's earnings for the second year = $26,000 + $780 = $26,780.

In the third year, she received a 3% raise again. To calculate her earnings for the third year, we need to add 3% of her second-year earnings to her base salary.
3% of $26,780 = 0.03 * $26,780 = $803.40.
Justine's earnings for the third year = $26,780 + $803.40 = $27,583.40.

We can continue this process for the fourth and fifth years, adding 3% of the previous year's earnings each time.

In the fourth year, she received a 3% raise again.
3% of $27,583.40 = 0.03 * $27,583.40 = $827.50.
Justine's earnings for the fourth year = $27,583.40 + $827.50 = $28,410.90.

In the fifth year, she received a 3% raise yet again.
3% of $28,410.90 = 0.03 * $28,410.90 = $852.33.
Justine's earnings for the fifth year = $28,410.90 + $852.33 = $29,263.23.

Finally, to find Justine's total earnings during the first five years, we need to add up her earnings for each year.
Total earnings = $26,000 + $26,780 + $27,583.40 + $28,410.90 + $29,263.23 = $138,037.53.

Therefore, Justine's total earnings during the first five years on the job were $138,037.53.

To find Justine's total earnings during the first five years on the job, we need to calculate her earnings for each year and then add them together.

First, know that Justine earned $26,000 during the first year.

To calculate her earnings for each subsequent year, we will apply a 3% raise:

Year 2 earnings = Year 1 earnings + (Year 1 earnings * 3%)
Year 3 earnings = Year 2 earnings + (Year 2 earnings * 3%)
Year 4 earnings = Year 3 earnings + (Year 3 earnings * 3%)
Year 5 earnings = Year 4 earnings + (Year 4 earnings * 3%)

Let's calculate these step by step:

Year 1 earnings = $26,000

Year 2 earnings = $26,000 + ($26,000 * 3%)
= $26,000 + ($26,000 * 0.03)
= $26,000 + $780
= $26,780

Year 3 earnings = $26,780 + ($26,780 * 3%)
= $26,780 + ($26,780 * 0.03)
= $26,780 + $803.40
= $27,583.40

Year 4 earnings = $27,583.40 + ($27,583.40 * 3%)
= $27,583.40 + ($27,583.40 * 0.03)
= $27,583.40 + $827.50
= $28,410.90

Year 5 earnings = $28,410.90 + ($28,410.90 * 3%)
= $28,410.90 + ($28,410.90 * 0.03)
= $28,410.90 + $852.33
= $29,263.23

Therefore, Justine's total earnings during the first five years on the job are:
$26,000 + $26,780 + $27,583.40 + $28,410.90 + $29,263.23 = $138,037.53