Upon graduating from college 16 years ago, an office worker took a job with a starting annual salary of $32,500. After each year of
employment, she has received a raise of 5.5%. Choose the expression that will calculate how many dollars the worker has made in
total in her 16 years on the job?
(32,500)(16) + (0.055)16
(32,500)(16)0.055
32,500,1 -0.05516
1 -0.055
32,50011 - 1.05516
1 - 1.055

Step-by-step explanation:

After each year of employment, she has received a raise of 5.5%. It means that the annual salary is increasing in geometric progression. The formula for determining the sum of n terms, Sn of a geometric sequence is expressed as

Sn = (ar^n - 1)/(r - 1)

Where

n represents the number of term in the sequence.

a represents the first term in the sequence.

r represents the common ratio.

From the information given,

a = $32500

r = 1 + 5.5/100 = 1.055

n = 16 years

Therefore, the expression for the the amount that the worker has made in total in her 16 years on the job, S16 is

S16 = (32500 × 1.055^(16) - 1)/1.055 - 1

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