An investment worth $1 million in 2005 has been growing at a rate of f(t) 0.14(1.18) million dollars per year where t is the number of years since 2005. (a) Calculate how much the investment will have grown between 2005 and 2013. (Round your answer to three decimal places.) $ 2.334 ✓ million How much is it projected to grow between 2013 and 2018? (Round your answer to three decimal places.) $ 4.094 ✔ million (b) Recover the function for the model that gives future value of an investment in million dollars t years since 2005. (The coefficient of integration should be rounde

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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An investment worth $1 million in 2005 has been growing at a rate of
f(t) = 0.14(1.18) million dollars per year
where t is the number of years since 2005.
(a) Calculate how much the investment will have grown between 2005 and 2013. (Round your answer to three decimal places.)
$2.334
million
How much is it projected to grow between 2013 and 2018? (Round your answer to three decimal places.)
$4.094
million
(b) Recover the function for the model that gives future value of an investment in million dollars t years since 2005. (The coefficient of integration should be rounded to three decimal places.)
Transcribed Image Text:An investment worth $1 million in 2005 has been growing at a rate of f(t) = 0.14(1.18) million dollars per year where t is the number of years since 2005. (a) Calculate how much the investment will have grown between 2005 and 2013. (Round your answer to three decimal places.) $2.334 million How much is it projected to grow between 2013 and 2018? (Round your answer to three decimal places.) $4.094 million (b) Recover the function for the model that gives future value of an investment in million dollars t years since 2005. (The coefficient of integration should be rounded to three decimal places.)
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