Answer:
13
Step-by-step explanation:
56/7=8
104/8=13
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:
The change after five years is equal to -$100
Step-by-step explanation:
If the insurance payment is equal to P = N dollars, where P is a real number, we know that after one year, the payment decreaces by $20, so the new payment is:
P = N - $20
Then, after 5 years, the $20 dollars are discounted five times, so the payment will be:
P = N -5*$20 = N - $100
Then the total change after 5 years is equal to those $100 that are being subtracted in the last equation.
Answer:
Step-by-step explanation:
Now we cal calculate the quantities requested
Answer:
i need to know this too im christopher lol
Step-by-step explanation:
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