SOLUTION: Emma earns a $39,000 dollar salary in the first year of her career. Each year, she gets a 5% raise. How much does Emma earn in total in the first 11 years of her career? Round off

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Question 1185231: Emma earns a $39,000 dollar salary in the first year of her career. Each year, she gets a 5% raise. How much does Emma earn in total in the first 11 years of her career? Round off your final answer to the nearest thousand.
Answer by ikleyn(53937) About Me  (Show Source):
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Emma earns a $39,000 dollar salary in the first year of her career. Each year, she gets a 5% raise.
How much does Emma earn in total in the first 11 years of her career? Round off your final answer to the nearest thousand.
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They want you calculate the sum of the first 11 terms of the geometric progression,

whose first term is  a%5B1%5D = 39000  and  the common ratio is  r = 1.05.


Use the formula


    S%5Bn%5D = a%5B1%5D%2A%28%28r%5En-1%29%2F%28r-1%29%29 = 39000+%2A+%28%281.05%5E11-1%29%2F%281.05-1%29%29 = 554064.70.


ANSWER.  554064.70  dollars.

Solved.

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On geometric progressions,  see introductory lessons
    - Geometric progressions
    - The proofs of the formulas for geometric progressions
    - Problems on geometric progressions
    - Word problems on geometric progressions
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic
"Geometric progressions".

Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.