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sum72
24.03.2020 •
Mathematics
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
Solved
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Ответ:
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
Ответ: