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.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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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