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Exercise 0.2.14: Suppose that a football coach gets a salary of one million dollars now, and a raise of 10% every year (so exponential model, like population of bacteria). Let s be the salary in millions of dollars, and t is time in years. a) What is s(0) and s(1). b) Approximately how many years will it take for the salary to be 10 million. c) Approximately how many years will it take for the salary to be 20 million. d) Approximately how many years will it take for the salary to be 30 million.

Exercise 0.2.14: Suppose that a football coach gets a salary of one million dollars now, and a raise of 10% every year (so exponential model, like population of bacteria). Let s be the salary in millions of dollars, and t is time in years. a) What is s(0) and s(1). b) Approximately how many years will it take for the salary to be 10 million. c) Approximately how many years will it take for the salary to be 20 million. d) Approximately how many years will it take for the salary to be 30 million.

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 12CC: Suppose that the initial size of a population is n0 and the population grows exponentially. Let n(t)...
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Exercise 0.2.14: Suppose that a football coach gets a salary of one million dollars now, and a raise of 10% every year (so exponential model, like population of bacteria). Let s be the salary in millions of dollars, and t is time in years. a) What is s(0) and s(1). b) Approximately how many years will it take for the salary to be 10 million. c) Approximately how many years will it take d) Approximately how many years will it take for the salary to be 20 million. for the salary to be 30 million. Note: Exercises with numbers 101 and higher have solutions in the back of the book. Exercise 0.2.101: Show that x = e-2t is a solution to x" + 4x' + 4x = 0. Exercise 0.2.102: Is y = x² a solution to x²y" – 2y = 0? Justify.
Transcribed Image Text:Exercise 0.2.14: Suppose that a football coach gets a salary of one million dollars now, and a raise of 10% every year (so exponential model, like population of bacteria). Let s be the salary in millions of dollars, and t is time in years. a) What is s(0) and s(1). b) Approximately how many years will it take for the salary to be 10 million. c) Approximately how many years will it take d) Approximately how many years will it take for the salary to be 20 million. for the salary to be 30 million. Note: Exercises with numbers 101 and higher have solutions in the back of the book. Exercise 0.2.101: Show that x = e-2t is a solution to x" + 4x' + 4x = 0. Exercise 0.2.102: Is y = x² a solution to x²y" – 2y = 0? Justify.
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