The maximum volume of the box is 40√(10/27) cu in.
Here we see that volume is to be maximized
The surface area of the box is 40 sq in
Since the top lid is open, the surface area will be
lb + 2lh + 2bh = 40
Now, the length is equal to the breadth.
Let them be x in
Hence,
x² + 2xh + 2xh = 40
or, 4xh = 40 - x²
or, h = 10/x - x/4
Let f(x) = volume of the box
= lbh
Hence,
f(x) = x²(10/x - x/4)
= 10x - x³/4
differentiating with respect to x and equating it to 0 gives us
f'(x) = 10 - 3x²/4 = 0
or, 3x²/4 = 10
or, x² = 40/3
Hence x will be equal to 2√(10/3)
Now to check whether this value of x will give us the max volume, we will find
f"(2√(10/3))
f"(x) = -3x/2
hence,
f"(2√(10/3)) = -3√(10/3)
Since the above value is negative, volume is maximum for x = 2√(10/3)
Hence volume
= 10 X 2√(10/3) - [2√(10/3)]³/4
= 2√(10/3) [10 - 10/3]
= 2√(10/3) X 20/3
= 40√(10/27) cu in
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Answer: c. previous balance method
The method used by credit card companies to calculate finance charges in which it is most favorable to the card issuer is the previous balance method. This is computed by charging the interest into the new billing period. This is least favorable to cardholder thus, most favorable to card issuer.
<span><span>an</span>=<span><span>(<span>−<span>2x</span></span>)</span><span>(<span>2<span>−1</span></span>)</span></span></span>Step 1: Divide both sides by n.<span><span><span>an</span>n</span>=<span><span>−x</span>n</span></span><span>a=<span><span>−x</span>n</span></span>Answer:<span>a=<span><span>−x</span><span>n</span></span></span>
When you have two squares stacked on top of each other, pretend the angle in the bottom left of the top square is a 90 degree angle, that means that the angle of the square right underneath, also sharing the line, is a 90 degree angle. Or whatever you would need to get it equal to 180, my example was 90/90.
Answer: 0.4302
Step-by-step explanation:
Given : Mean : 
Standard deviation : 
Sample size : 
Also, these distances are normally distributed.
Then , the formula to calculate the z-score is given by :-
For x=32.5
For x=40.5
The p-value = 
Hence, the required probability :-0.4302
