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?

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- Feb 19th 2011, 03:10 PM #1

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- Feb 19th 2011, 03:20 PM #2
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

After the growth there will be

It is important to notice that the 10% slaughtered is based on the new amount:

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

There is a pattern emerging here which is

To answer your question sub and