SOLUTION: The fox population in a certain region has a continuous growth rate of 5 percent per year. It is estimated that the population in the year 2000 was 20200. (a) Find a function th

Algebra ->  Finance -> SOLUTION: The fox population in a certain region has a continuous growth rate of 5 percent per year. It is estimated that the population in the year 2000 was 20200. (a) Find a function th      Log On


   



Question 1197975: The fox population in a certain region has a continuous growth rate of 5 percent per year. It is estimated that the population in the year 2000 was 20200.
(a) Find a function that models the population
t years after 2000 ( t=0 for 2000).Your answer is P(t)=

(b) Use the function from part (a) to estimate the fox population in the year 2008.
Your answer is (the answer must be an integer)

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

(a)  The function is  P(t) = 20200%2A%281%2B0.05%29%5Et = 20200%2A1.05%5Et,

     where t is the number of years after 2000.    ANSWER



(b)  The fox population in the year 2008, 8 years after 2000, is

     P = 20200%2A1.05%5E8 = 29844.6 = 29845   (rounded).   ANSWER

Solved.

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If you want to see many other similar and different solved problems on population growth,  look into the lesson
    - Population growth problems
in this site.


Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lesson is the part of this online textbook under the topic "Logarithms".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.