Answer:
The profit will be maximum on x = 250.
Step-by-step explanation:
From the given information:
Revenue = 1500x - x²
Cost = 1500 + 1000x
As we know that
Profit = Revenue - Cost ; Let say it equation 1
Then after putting the values of revenue and cost in equation 1 we have:
Profit = (1500x - x²) - (1500 + 1000x)
Profit = 1500x - x² - 1500 - 1000x
Profit = -x² + 500x - 1500
We know that at the max or min the slope of the graph formed by the profit function will be zero, therefore we find the slope of profit function by taking the first derrivative w.r.t. x as under:
d(Profit)/dx = d/dx(-x² + 500x - 1500)
d(Profit)/dx = -2x + 500
By putting the above slope equal to zero we get:
d(Profit)/dx = -2x + 500 = 0
-2x + 500 = 0
-2x = -500
x = 250
Therefore it is concluded that the profit will be maximum when x will be equal to 250.
Answer:
Find the volume of the sphere.
Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.
The radius is 1
Volume = 
or 4.19
Step-by-step explanation:
Given
Radius, r = 1
Required
Find the volume of sphere
Volume of a sphere is calculated using the following formula
Where V = Volume and r = radius
By Substitution,
Solving further to get the numerical value of volume;
We have to substitute 3.14 for π
V = 4.19 to the nearest hundredth
Answer:
8.5 h = 510 min
Step-by-step explanation:
An hour is equal to 60 minutes. Half an hour is 30 minutes.
We can break "8.5" into 8 hours and 0.5 of an hour (which is 30 minutes).
Knowing this, we can multiply 8 by 60 since each hour is 60 minutes. We then get 480. We still need to add the remaining 0.5 of an hour (30 minutes) so we add 480 + 30. We then get 510.
Therefore 8.5 hours = 510 minutes. Hope this helps!
Answer:
B, C
Step-by-step explanation:
The only statements that must be true are ones that describe the markings on the diagram:
NO as an angle bisector
N is the vertex of a pair of congruent angles
_____
The only other fact that must be true is that segments on the left side of the diagram are proportional to those (corresponding) on the right. (This is a property of the angle bisector.) There is nothing that says the sides must be equal, or that the triangle is isosceles.
Answer:
PERFECT
YOU GOTTA RIGHT
Step-by-step explanation:
