farmer grows trees for a nursery, the farm has 4200 treees each year, the farmer harvest 20% of the trees and?

Question

replant 850 trees.

a. write a recursive formula for the total # of trees on the farm each year

b. what happens to the total # of trees on the farm over time

Answer 1

Maengun has the math right for a. of your question. As far as b. In theory you would expect a slight increase in numbers over time, but in reality, setting out tree seedlings you would expect to lose at least 15 to 20% of your trees so you would decrease your number total trees over time. If you want to harvest 840 trees and maintain your present population you should replant around 1000 trees each year.

Answer 2

This question should have likely been posted in the mathematics section as there are people there with more knowledge then me in this matter. Basically from what I can see you have something like this:

X - (X*.20) +850 = Y

X = Number of trees at the beginning of the year
Y = New number of trees at the end of the year.

I'm not exactly sure what a recursive formula is, however I can tell you the number of trees is increasing. The reason for this is easy, you have 4200 trees, you harest 20% or in other words (840), then you replant 850 trees. Assuming none of them die you will have 4210 at the beginning of the send year, and then it will continue to slowly grow as you will have 4218 trees, etc., etc.

Hope it helps.

Answer 3

a. i dont feel like doin that
b. y do u need to no that???
c. who's gonna wanna do that?