5. Congratulations! You have landed your dream job! As a part of a special sign on initiative, the company is offering you the choice of salary plans. Under Option A, you start at $70,000 and your salary increases by $4,000 each year. Option B has you starting at $57,000 but your salary increases by 5% every year. Assume you do not receive other pay increases or promotions. а. Represent each salary option as a sequence. Express the sequence in nth term notation (non-recursive form). b. Which salary option has the higher salary after 30 years of work? Justify your answer using sequences. с. Which salary option yields the most total pay after 30 years of work? Justify your answer using series.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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5.
Congratulations! You have landed your dream job! As a part of a special sign on initiative, the company is
offering you the choice of salary plans. Under Option A, you start at $70,000 and your salary increases by $4,000
each year. Option B has you starting at $57,000 but your salary increases by 5% every year. Assume you do not
receive other pay increases or promotions.
Represent each salary option as a sequence. Express the sequence in nth term notation (non-recursive
а.
form).
b.
Which salary option has the higher salary after 30 years of work? Justify your answer using sequences.
с.
Which salary option yields the most total pay after 30 years of work? Justify your answer using series.
Transcribed Image Text:5. Congratulations! You have landed your dream job! As a part of a special sign on initiative, the company is offering you the choice of salary plans. Under Option A, you start at $70,000 and your salary increases by $4,000 each year. Option B has you starting at $57,000 but your salary increases by 5% every year. Assume you do not receive other pay increases or promotions. Represent each salary option as a sequence. Express the sequence in nth term notation (non-recursive а. form). b. Which salary option has the higher salary after 30 years of work? Justify your answer using sequences. с. Which salary option yields the most total pay after 30 years of work? Justify your answer using series.
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