Given the following situation: A retirement fund grows at 12% per year, but a trading fee of $3000 is removed per year. Set up the differential equation that models this situation. dP A = 0.12 P - 3000 t dt dP 2988 %3D dt (c dP = 0.12 * P - 30 * P dt %3D dP = 0.12 * P - 3000 dt

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...
Question

q7

Given the following situation:
A retirement fund grows at 12% per year, but a trading fee of $3000 is removed per year.
Set up the differential equation that models this situation.
dP
A
= 0.12 * P - 3000 t
dt
dP
= 2988
dt
(c
dP
= 0.12 * P - 30 * P
dt
%3D
dP
= 0.12 * P - 3000
dt
D.
Transcribed Image Text:Given the following situation: A retirement fund grows at 12% per year, but a trading fee of $3000 is removed per year. Set up the differential equation that models this situation. dP A = 0.12 * P - 3000 t dt dP = 2988 dt (c dP = 0.12 * P - 30 * P dt %3D dP = 0.12 * P - 3000 dt D.
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