Answered: Determine the AV at time 9 of $100…

Intermediate Algebra

10th Edition

ISBN:9781285195728

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter11: Exponential And Logarithmic Functions

Section11.CR: Review Problem Set

Problem 56CR

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Question

Determine the AV at time 9 of $100 invested at time 4 given the accumulation function a(t)=0.05t2+1.

Expert Solution

Step 1

Consider the function:

$\begin{array}{l} Accumulation function, a (t) = 0.05 t^{2} + 1 \\ a (t) = 0.05 t^{2} + 1 \\ For time 4; t = 4, \\ a (4) = 0.05 {(4)}^{2} + 1 \\ a (4) = 0.05 (16) + 1 \\ a (4) = 0.8 + 1 \\ a (4) = 1.8 \end{array}$

$\begin{array}{l} For time 9; t = 9, \\ a (9) = 0.05 {(9)}^{2} + 1 \\ a (9) = 0.05 (81) + 1 \\ a (9) = 4.05 + 1 \\ a (9) = 5.05 \end{array}$

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