The rate of change of the amount in an investment account t years after money is invested is given by: A'(t) = 500e0.02t, t>0 (a) Find: A'(t) dt. Find an exact answer as well as an approximation rounded to two decimal places. (b) Interpret your answer to part (a) in terms of time and money in the account. (c) If $25,000 was initially invested in the account, how much money in the account after 4 years?
The rate of change of the amount in an investment account t years after money is invested is given by: A'(t) = 500e0.02t, t>0 (a) Find: A'(t) dt. Find an exact answer as well as an approximation rounded to two decimal places. (b) Interpret your answer to part (a) in terms of time and money in the account. (c) If $25,000 was initially invested in the account, how much money in the account after 4 years?
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:3. The rate of change of the amount in an investment account t years after money is invested is given by:
A'(t) = 500e0.02t, t>0
(a) Find:
| A'(t) dt. Find an exact answer as well as an approximation rounded to two decimal places.
(b) Interpret your answer to part (a) in terms of time and money in the account.
(c) If $25,000 was initially invested in the account, how much money in the account after 4 years?
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