THe instantaneous rate of change of the value of a certain investment (P)is proportional to its value. That is to say dP/dt = rP if r = 7 and P(0) = 2500:  P(t) = ??

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.3: Rates Of Change
Problem 30E: If the instantaneous rate of change of f(x) with respect to x is positive when x=1, is f increasing...
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THe instantaneous rate of change of the value of a certain investment (P)is proportional to its value. That is to say dP/dt = rP

if r = 7 and P(0) = 2500: 

P(t) = ??

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