The rate of change of N is proportional to N. When t = 0, N = 250, and when t 1, N = 400. What is the value of N when t 4?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter2: Functions And Graphs
Section2.6: Proportion And Variation
Problem 21E: Find the constant of proportionality. E varies jointly with I and R. If R=25 and I=5, then E=125.
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Write and find the general solution of the differential equation that models the verbal statement. Evaluate the solution at the specified value of the independent variable.

The rate of change of N is proportional to N. When t = 0,
N = 250, and when t
1, N = 400. What is the value of N
when t
4?
Transcribed Image Text:The rate of change of N is proportional to N. When t = 0, N = 250, and when t 1, N = 400. What is the value of N when t 4?
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