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# ps - ap

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VP
Joined: 30 Sep 2004
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25 Sep 2005, 07:44
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when a certain tree was first planted, it was 4 feet tall and the height of the tree increased by a constant amount each year for the next 6 years. at the end of the 6th year, the tree was 1/5 taller than it was at the end of the 4th year. by how many feet did the tree increase each year ?

a. 3/10
b. 2/5
c. 1/2
d. 2/3
e. 6/5
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Director
Joined: 23 Jun 2005
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25 Sep 2005, 09:10
Answer is d. 2/3
Let tree grow by constant X.
At the end of 4th year, height of tree = 4+4X
At the end of 6 years, height of tree = 4+6X
But we know, 6/5(4+4X) = 4+6X
Solving we get, X=2/3
SVP
Joined: 05 Apr 2005
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25 Sep 2005, 20:33
each year tree grows by a constant rate of X
2x/(4+4x)=1/5
x=2/3
25 Sep 2005, 20:33
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