6000 2. The function T(x)= 23.1-In represents the amount of time, in in years, for an initial investment of x dollars to increase to $6000. (A) Sketch a graph that shows the function as it intersects the time value 9 years. Label your axes with appropriate context driven variables. Also, clearly mark the window you are viewing.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2. The function T(x)=23.1-In|
6000
represents the amount of time, in in years, for an initial investment of
%3D
x dollars to increase to $6000.
(A) Sketch a graph that shows the function as it intersects the time value 9 years. Label your axes with
appropriate context driven variables. Also, clearly mark the window you are viewing.
(B) According to your graph, what is the initial investment needed for the investment to grow to $6000
in 9 years? (Round your answer to the nearest $0.01.)
(C) Set up an algebraic equation that would determine the initial investment needed for the investment
to grow to $6000 in 9 years and solve the equation. (Round your answer to the nearest $0.01.)
Transcribed Image Text:2. The function T(x)=23.1-In| 6000 represents the amount of time, in in years, for an initial investment of %3D x dollars to increase to $6000. (A) Sketch a graph that shows the function as it intersects the time value 9 years. Label your axes with appropriate context driven variables. Also, clearly mark the window you are viewing. (B) According to your graph, what is the initial investment needed for the investment to grow to $6000 in 9 years? (Round your answer to the nearest $0.01.) (C) Set up an algebraic equation that would determine the initial investment needed for the investment to grow to $6000 in 9 years and solve the equation. (Round your answer to the nearest $0.01.)
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