The future value of an investment after t years is given by F(t) 140(1.126) thousand dollars. (a) Calculate the future value after 10 years. (Round your answer to three decimal places.) thousand $ Calculate the rate of change of the future value after 10 years. (Round your answer to three decimal places.) thousand per year $ (b) Write the linearization of F after 10 years. (Round all numerical values to three decimal places.) FL(t) thousand dollars (c) Use the linearization to estimate the future value after 10.5 years. (Round your answer to three decimal places.) thousand

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.3: The Natural Exponential Function
Problem 40E
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The future value of an investment after t years is given by
F(t) 140(1.126) thousand dollars.
(a) Calculate the future value after 10 years. (Round your answer to three decimal places.)
thousand
$
Calculate the rate of change of the future value after 10 years. (Round your answer to three decimal places.)
thousand per year
$
(b) Write the linearization of F after 10 years. (Round all numerical values to three decimal places.)
FL(t)
thousand dollars
(c) Use the linearization to estimate the future value after 10.5 years. (Round your answer to three decimal places.)
thousand
Transcribed Image Text:The future value of an investment after t years is given by F(t) 140(1.126) thousand dollars. (a) Calculate the future value after 10 years. (Round your answer to three decimal places.) thousand $ Calculate the rate of change of the future value after 10 years. (Round your answer to three decimal places.) thousand per year $ (b) Write the linearization of F after 10 years. (Round all numerical values to three decimal places.) FL(t) thousand dollars (c) Use the linearization to estimate the future value after 10.5 years. (Round your answer to three decimal places.) thousand
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