Results 1 to 2 of 2

Math Help - Flock of sheeps

  1. #1
    Newbie
    Joined
    Feb 2011
    Posts
    2

    Flock of sheeps

    A flock of sheeps counts 1000. The flock grows by 25% each year. Every fall 10% gets send to the slaughterhouse. How big will the flock be in 10 years?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    -1
    e^(i*pi)'s Avatar
    Joined
    Feb 2009
    From
    West Midlands, England
    Posts
    3,053
    Thanks
    1
    I'm not sure how your growth and loss will be counted. I am assuming the growth occurs before the slaughter.

    Let the initial amount of sheep be P_0

    After the growth there will be P_0(1+0.25) = 1.25P_0

    It is important to notice that the 10% slaughtered is based on the new amount: P_1 = 0.9 \cdot (1.25P_0)

    This is going to be the initial value in the second year (the values of t are for the end of the year)

    P_2 = 0.9(1.25P_1) = 0.9(1.25 \cdot 0.9(1.25P_0) = 0.9^2 \cdot 1.25^2 \cdot P_0

    P_3  = 0.9(1.25P_2) = 0.9^3 \cdot 1.25^3 \cdot P_0


    There is a pattern emerging here which is

    P_n = 0.9^n \cdot 1.25^n \cdot P_0

    To answer your question sub n=10 and P_0 = 1000
    Follow Math Help Forum on Facebook and Google+

Search Tags


/mathhelpforum @mathhelpforum