SOLUTION: Hello, The population P of mice after t years is modeled by the function P(t)= 1200/1 +99e^-0.4t a-what was the initial population of mice b-when will there be 1000 mice

Question 684278: Hello,
The population P of mice after t years is modeled by the function P(t)= 1200/1 +99e^-0.4t
a-what was the initial population of mice
b-when will there be 1000 mice
c-what is the carring capacity for the mice population

Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
The population of mice after t years is modeled by the function

a) To find the initial population, plug in for

b) To find when there will be mice, P(t) will equal

years

c) The maximum value of mice will be . To do this, simply graph it on a graphing calculator and find the maximum. It approaches .

RELATED QUESTIONS
The population P of a fish farm in t years is modeled by the equation P(t) = 2200/ (1 + (answered by Boreal)

A species of fish was added to a lake. The population size P(t) of this species can be... (answered by TimothyLamb)

A species of fish was added to a lake. The population size P(t) of this species can be... (answered by Fombitz)

Could someone help explain how to correctly solve the equation. The population P of a (answered by greenestamps)

A certain breed of mouse was introduced onto a small island with an initial population of (answered by ikleyn)

A species of animal is discovered on an island. Suppose that the population size P(t) of... (answered by stanbon)

The population P of a fish farm in t years is modeled by the equation P(t) = 1600/ 1 +... (answered by greenestamps)

The future population of a town t years after January 1, 1995 is described in thousands... (answered by bucky)

A species of fish was added to a lake. The population size P(t) of this species can... (answered by ewatrrr)