Find the future value of the income (in dollars) given by f(t) over t, years at annual interest rate r. If the function f represents a continuous investment over a period of t, years at an annual interest rate r (in decimal form) compounded continuously, then the future value of the investment is given by Future value = et1 f(t)e rt dt. f(t) = 2000e0.0st r= 10%, t, = 5 years

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the future value of the income (in dollars) given by f(t) over t, years at annual interest rate r. If the function f represents a continuous investment over a period of t, years at an
annual interest rate r (in decimal form) compounded continuously, then the future value of the investment is given by
Future value = et1
F(t)e rt dt.
f(t) = 2000e0.0st
,r= 10%, t, = 5 years
Transcribed Image Text:Find the future value of the income (in dollars) given by f(t) over t, years at annual interest rate r. If the function f represents a continuous investment over a period of t, years at an annual interest rate r (in decimal form) compounded continuously, then the future value of the investment is given by Future value = et1 F(t)e rt dt. f(t) = 2000e0.0st ,r= 10%, t, = 5 years
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