A deposit of $2000 at 2% interest compound continously will grow to v(t)= 2000e0.02t dollars after t years. Find the average value during the first 40 years. ( that is, from time 0 to time 40). Round your answer to the nearest cent

A deposit of $2000 at 2% interest compound continously will grow to v(t)= 2000e0.02t dollars after t years. Find the average value during the first 40 years. ( that is, from time 0 to time 40). Round your answer to the nearest cent

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter4: Exponential And Logarithmic Functions

Section4.2: The Natural Exponential Function

Problem 2E

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

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A deposit of $2000 at 2% interest compound continously will grow to v(t)= 2000e^0.02t dollars after t years. Find the average value during the first 40 years. ( that is, from time 0 to time 40). Round your answer to the nearest cent

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