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ZanzabumX [31]
3 years ago
13

After 29 years Ms. Payson is getting ready to retire from teaching. As part of her employee benefits

Mathematics
1 answer:
Korolek [52]3 years ago
4 0

Answer:

\boxed{\mathbf{\$33880.70}}

Step-by-step explanation:

1. Calculate the average salary

\text{Average salary} = \dfrac{\text{Sum of salaries}}{\text{Number of salaries}} = \dfrac{\$54900 + \$55300 + \$56700}{3}\\\\= \dfrac{\$166900}{3} = \$55633.33

2. Calculate the pension

\text{Pension} = 29 \times 0.021 \times \$55633.33 = \mathbf{\$33880.70}\\\\\text{ Ms. Payson's annual pension will be $\boxed{\mathbf{\$33880.70}}$}

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Since 225 is 75% of a whole, write the proportion such that 225 corresponds to 75% and x, the number we're searching for, corresponds with 100%

Cross multiply to solve and divide by 75 to isolate x:

225 x 100 = 75x

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