The top or the bottom section??
Answer:
Dimensions will be
Length = 7.23 cm
Width = 7.23 cm
Height = 9.64 cm
Step-by-step explanation:
A closed box has length = l cm
width of the box = w cm
height of the box = h cm
Volume of the rectangular box = lwh
504 = lwh
Sides which involve length and width and height, cost = 3 cents per cm²
Top and bottom of the box costs = 4 cents per cm²
Cost of the sides 
= 3[2(l + w)h] = 6(l + w)h
= 3[2(l + w)h]
Cost of the top and the bottom 
= 4(2lw) = 8lw
Total cost of the box C = 
+ 8lw
= ![3024[\frac{1}{l}+\frac{1}{w}]](https://tex.z-dn.net/?f=3024%5B%5Cfrac%7B1%7D%7Bl%7D%2B%5Cfrac%7B1%7D%7Bw%7D%5D)
+ 8lw
To minimize the cost of the sides
---------(1)
-------(2)
Now place the value of w from equation (1) to equation (2)
l³ = 378
l = ∛378 = 7.23 cm
From equation (2)
w = 7.23 cm
As lwh = 504 cm³
(7.23)²h = 504
h = 9.64 cm
Answer:
The sample size is 183.
Step-by-step explanation:
Given:
σ = $1050, ppulatin standard deviation
99% confidence interval
Accuracy = +/- $200
The accuracy is given by
z*(σ/√n)
where
z* = 2.576 for 99% confidence level (from tables)
n = sample size
Therefore
2.576(1050/√n) = 200
√n = (2.576*1050)/200 = 13.524
n = 182.9
<em>The sample size is 183</em>
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Answer:
see explanation
Step-by-step explanation:
Sum the 3 consecutive integers and equate to 36
x + x + 2 + x + 4 = 36
3x + 6 = 36 ( subtract 6 from both sides )
3x = 30 ( divide both sides by 3 )
x = 10
The 3 consecutive integers are
10, 10 + 2, 10 + 4, that is
10, 12, 14
Answer:
There are infinite solutions because they are the same equation
2D + 1G = 12
and
4D + 2G = 24 (divide by 2) 2D + G = 12
2D + 1G = 12 is the same as 2D + 1G = 12
