It is known that the number of trees in a small forest will decrease by 5% each year unless some new trees are planted. At the end of each year, 600 new trees are planted to the forest. At the start of 2021, there are 8200 trees in the forest. (a) Show that there will be roughly 9060 trees in the forest at the start of 2026. b) Find the approximate number of trees in the forest at the start of 2041.

It is known that the number of trees in a small forest will decrease by 5% each year unless some new trees are planted. At the end of each year, 600 new trees are planted to the forest. At the start of 2021, there are 8200 trees in the forest. (a) Show that there will be roughly 9060 trees in the forest at the start of 2026. b) Find the approximate number of trees in the forest at the start of 2041.

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Description: It is known that the number of trees in a small forest will decrease by 5% each year unlesssome new trees are planted. At the end of each year, 600 new trees are planted to the forest.At the start of 2021, there are 8200 trees in the forest.(a) Show

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.

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It is known that the number of trees in a small forest will decrease by 5% each year unless
some new trees are planted. At the end of each year, 600 new trees are planted to the forest.
At the start of 2021, there are 8200 trees in the forest.
(a) Show that there will be roughly 9060 trees in the forest at the start of 2026.
(b) Find the approximate number of trees in the forest at the start of 2041.

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