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.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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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.
Transcribed Image Text: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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