Answer:
The maximum revenue is 16000 dollars (at p = 40)
Step-by-step explanation:
One way to find the maximum value is derivatives. The first derivative is used to find where the slope of function will be zero.
Given function is:
Taking derivative wrt p
Now putting R'(p) = 0
As p is is positive and the second derivative is -20, the function will have maximum value at p = 40
Putting p=40 in function
The maximum revenue is 16000 dollars (at p = 40)
Answer:
52 miles per hour
Step-by-step explanation:
455 miles in 8 hr 45 min =
455 miles in 8.75 hours
8.75(x) = 455(1)
x = 52
In order to eliminate the y term, you need to find what y is equal to in the equation.
1. 6x-5y=-4
-5y=-4-6x
Y=6/5x+4/5
You then sub in 6/5x+4/5 in for y in the equation
2. 4x+2y=28
2y=-4x+28
Y=-2x+14
Hope this helps!
Answer:
C) 22 pi
Step-by-step explanation:
Here the diameter of the circle = 24.
Therefore, radius of the circle = 24/2 = 12 ft
Here we have to use the formula to find the arc length.
Arc length = (central angle / 360) * 2*pi*r
Central angle ABC = 360 - 30 = 330 degrees and radius (r) = 12
Now plug in these values in the formula, we get
Arc length ABC = (330/360) *2*pi*12
Now we have to simplify it.
= 11/12 *2 *pi*12
= 11*2*pi
Arc length of ABC = 22pi
Therefore, the answer is C) 22 pi
Hope you will understand the concept.
Thank you.
Answer:
In the case of 70 mph, time would be 105/70 or 1.5 hours (90 minutes).
