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charle [14.2K]
3 years ago
14

You plant a tree that is 42 inches tall. After one year, the tree is 47 inches tall. Which expression describes the percent incr

ease of the tree's height?
Mathematics
1 answer:
Mademuasel [1]3 years ago
6 0
This is how you would set it up

 42         47
-----       -----
100         x
Then, cross multiply. You should get this:
42x = 4700

Then, solve that problem
42x = 4700
-----    -------
42         42

x = 111 < (the answer turns out as a decimal but you should take the whole number)

Then subtract 111 and 100
111 - 100 = 11

Answer - 11%

Hope this helps!
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Step-by-step explanation:

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S = 2*L^2 + 4(2744 cm^3)/L

Now we want to minimize the surface area, then we need to find the zeros of the first derivative of S.

S' = 2*(2*L) - 4*(2744 cm^3)/L^2

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Then the length of the base that minimizes the surface is L = 14.

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Then the surface is:

S = 2*(L^2 + 2*L*H) = 2*( (14cm)^2 + 2*(14cm)*(14cm)) = 1,176 cm^2

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