4. a-An employee joined a company in 2009 with a starting salary of $50,000. Every year this employee receives a raise of $1000 plus 5% of the salary of the previous year. 1.Set up a recurrence relation for the salary of this employee n years after 2009. 2. What will the salary of this employee be in 2017?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter4: Eigenvalues And Eigenvectors
Section4.6: Applications And The Perron-frobenius Theorem
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4. a-An employee joined a company in 2009 with a starting salary of $50,000. Every year
this employee receives a raise of $1000 plus 5% of the salary of the previous year.
1.Set up a recurrence relation for the salary of this employee n years after 2009.
2.What will the salary of this employee be in 2017?
b. You take a job that pays $25,000 annually and you receive a five percent raise each
year. Let a, = the salary after n years.
1.Find a recurrence relation for a,
2. What is your salary after 15 years?
Transcribed Image Text:4. a-An employee joined a company in 2009 with a starting salary of $50,000. Every year this employee receives a raise of $1000 plus 5% of the salary of the previous year. 1.Set up a recurrence relation for the salary of this employee n years after 2009. 2.What will the salary of this employee be in 2017? b. You take a job that pays $25,000 annually and you receive a five percent raise each year. Let a, = the salary after n years. 1.Find a recurrence relation for a, 2. What is your salary after 15 years?
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