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

Question

Daniela Adkins

Mathematics

15 December, 21:05

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

+4

Answers (2)

Know the Answer?

Matthias · Answer 1

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

Cory · Answer 2

the answer would be A