Answer:
[tex]\boxed{\mathbf{\$33880.70}}[/tex]
Step-by-step explanation:
1. Calculate the average salary
[tex]\text{Average salary} = \dfrac{\text{Sum of salaries}}{\text{Number of salaries}} = \dfrac{\$54900 + \$55300 + \$56700}{3}\\\\= \dfrac{\$166900}{3} = \$55633.33[/tex]
2. Calculate the pension
[tex]\text{Pension} = 29 \times 0.021 \times \$55633.33 = \mathbf{\$33880.70}\\\\\text{ Ms. Payson's annual pension will be $\boxed{\mathbf{\$33880.70}}$}[/tex]