14. A species of freshwater fish called Perch was introduced into a large lake. The equation below can be used to model the number of Perch in the lake as a function of the number of months since the Perch were introduced. You can assume no Perch were in the lake before the introduction. P(t) = 4000(1.3-0.84¹) (a) How many Perch were introduced in the lake? (b) Evaluate lim P(t). t-x (c) When will there be 4400 Perch in the lake? Give an exact answer and an answer to the nearest tenth.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.6: Rational Functions
Problem 2E
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14. A species of freshwater fish called Perch was introduced into a large lake. The equation
below can be used to model the number of Perch in the lake as a function of the number of
months since the Perch were introduced. You can assume no Perch were in the lake before
the introduction.
P(t) = 4000(1.3 – 0.84¹)
(a) How many Perch were introduced in the lake?
(b) Evaluate lim P(t).
t→∞
When will there be 4400 Perch in the lake? Give an exact answer and an answer to
the nearest tenth.
Transcribed Image Text:14. A species of freshwater fish called Perch was introduced into a large lake. The equation below can be used to model the number of Perch in the lake as a function of the number of months since the Perch were introduced. You can assume no Perch were in the lake before the introduction. P(t) = 4000(1.3 – 0.84¹) (a) How many Perch were introduced in the lake? (b) Evaluate lim P(t). t→∞ When will there be 4400 Perch in the lake? Give an exact answer and an answer to the nearest tenth.
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