If the Accumulated Value of an investment at time t is AV₁ = 1.2+.1t², what is & when t=2? A. .05 B. .10 C. .15 D. .20 E. .25
If the Accumulated Value of an investment at time t is AV₁ = 1.2+.1t², what is & when t=2? A. .05 B. .10 C. .15 D. .20 E. .25
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:**Problem Statement:**
If the Accumulated Value of an investment at time \( t \) is given by the formula \( AV_t = 1.2 + .1t^2 \), what is \( \delta_t \) when \( t = 2 \)?
**Options:**
A. 0.05
B. 0.10
C. 0.15
D. 0.20
E. 0.25
**Explanation:**
To solve this problem, you need to calculate the derivative of the accumulated value function to find the rate of change of the value at \( t = 2 \). The derivative of \( AV_t = 1.2 + .1t^2 \) with respect to \( t \) will help determine the instantaneous rate represented by \( \delta_t \). Remember to substitute \( t = 2 \) into the derivative to find \( \delta_t \).
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