Answer:
4/25 foot²
Step-by-step explanation:
Refer to attachment*
Answer: Choice A) 8.742 * 10^7
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Work Shown:

Extra info:

which is a little over 87.4 million
Answer:
k = 1.2
Step-by-step explanation:
Solving for t when the account value is 30,000, we have ...
30,000 = 25,000e^(0.0198t)
30,000/25,000 = 1.2 = e^(0.0198t)
ln(1.2) = 0.0198t
t = ln(1.2)/0.0198
Matching this with the form ...
t = ln(k)/0.0198
we see that k = 1.2.
_____
k is the multiplier of account value in time period t.
Answer:
2.67 inches.
Step-by-step explanation:
Assuming that we represent the size of the squares with the letter y, such that after the squares are being cut from each corner, the rectangular length of the box that is formed can now be ( 23 - 2y), the width to be (13 - 2y) and the height be (x).
The formula for a rectangular box = L × B × W
= (23 -2y)(13-2y) (y)
= (299 - 46y - 26y + 4y²)y
= 299y - 72y² + 4y³
Now for the maximum volume:
dV/dy = 0
This implies that:
299y - 72y² + 4y³ = 299 - 144y + 12y² = 0
By using the quadratic formula; we have :

where;
a = 12; b = -144 and c = 299






Since the width is 13 inches., it can't be possible for the size of the square to be cut to be 9.33
Thus, the size of the square to be cut out from each corner to obtain the maximum volume is 2.67 inches.
Answer:
Please see the attached image below, to find more information about the graph
The figures that are obtained by a single reflection are shown in the image inside a red rectangle.
The axis of reflection is shown with a black line.
- The figure from the left shows horizontal reflection
- The figure from the right shows vertical reflection