Answer:
6.300
Step-by-step explanation:
it is not 0.500 or above so you would round down to the nearest thousandth
Let the lengths of the bottom of the box be x and y, and let the length of the squares being cu be z, then
V = xyz . . . (1)
2z + x = 16 => x = 16 - 2z . . . (2)
2z + y = 30 => y = 30 - 2z . . . (3)
Putting (2) and (3) into (1) gives:
V = (16 - 2z)(30 - 2z)z = z(480 - 32z - 60z + 4z^2) = z(480 - 92z + 4z^2) = 480z - 92z^2 + 4z^3
For maximum volume, dV/dz = 0
dV/dz = 480 - 184z + 12z^2 = 0
3z^2 - 46z + 120 = 0
z = 3 1/3 inches
Therefore, for maximum volume, a square of length 3 1/3 (3.33) inches should be cut out from each corner of the cardboard.
The maximum volume is 725 25/27 (725.9) cubic inches.
Answer:
yessssss
Step-by-step explanation:
...........
Answer:
$94.50
Step-by-step explanation:
At store B, the sales tax rate is 7%, so the tax charged will be 7% of the cost of repair:
0.07 · $1350 = $94.50
Answer:
5/3
Step-by-step explanation:
There are a few ways to solve this problem, but here is the easiest way.
You can look at the graph and count the units.
View the attachment, and notice how the lower point goes up 5 and right 3 to get to the higher point. Remember, your slope is rise over run.
Since y changes by +5 and x changes by +3, your slope is 5/3.
