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?
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