A real estate investment, originally worth $7000, grows continuously at the rate of  400e0.04t  dollars per year, where t is the number of years since the investment was made. (a) Find a formula for the value of the investment after t years. V(t) =        (b) Use your formula to find the value (in dollars) of the investment after 10 years. (Round your answer to the nearest whole dollar.)

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
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A real estate investment, originally worth $7000, grows continuously at the rate of 
400e0.04t
 dollars per year, where t is the number of years since the investment was made.
(a)
Find a formula for the value of the investment after t years.
V(t) = 
 
 
 
(b)
Use your formula to find the value (in dollars) of the investment after 10 years. (Round your answer to the nearest whole dollar.)
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