Here L = W, but H can be different.
The sum L+H+W must be less than or equal to 192 cm.
We can solve L + H + W = 192 for H: H = 192 - W - L. Remembering that W = L, the formula for H becomes 192 - 2W.
The formula for volume would be V = L*W*H.
This becomes V = W*W*H, or V = W^2*(192-2W)
Multiplying this out: V = w^2*192 - 2W^3
Two ways of determining W:
1) graph V = 192W^2 - 2W^3 and determine the value of W at which V is at a max with the constraint W + L + H is equal to or smaller than 192.
2) Differentiate V with respect to W and set the result equal to zero:
384W - 6W^2 = 0. Solving for W: W(384 - 6W) = 0.
W = 0 is trivial, so just solve 384 - 6W = 0 for W: 6W = 384, and W = 64.
The width is 64 cm, the length is 64 cm also, and the height is (192-2W) cm, or 64 cm.
These dimensions produce the max volume.
Answer:
Step-by-step explanation:
5w+10=40
5w=40-10
5w=30
w=30/5
w=6
Answer: A) 6
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10k+5=65
10k=65-5
10k=60
k=60/10
k=6
Answer: k=6
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2b-15=33
2b=33+15
2b=48
b=48/2
b=24
Answer: b=24
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3d+18=21
3d=21-18
3d=3
d=3/3
d=1
Answer: d=1
Isolate y in the first equation.
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Then plug this into the second equation
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So
the final answer is choice A
<span>The statement makes sense because the money in the account grows by the same percentage, which is an example of exponential growth.</span>