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:
I thinks its C , but im sorry if its wrong.
Step-by-step explanation:
The definition of the interior angles of a triangle states that interior angles of a triangle add up to 180º.
This means we can find the measure of <CED:
<CED + <ECD + <CDE = 180º
<CED = 180º - <ECD - <CDE
<CED = 180º - 43º - 35º
<CED = 102º
By the definition of vertical angles states that a pair of vertical angles are congruent.
This means <CED = <AEB
If <CED = 102º
Then <AEB = 102º
By definition of the interior angles of triangles:
<AEB + <EBA + <BAE = 180º
<AEB = 102º
<EBA = 18º
102º + 18º + <BAE(<A) = 180º
<BAE = 180º - 102º - 18º
<BAE = 60º
<BAE is another way to say <A
<span>m∠A = 60º</span>
Answer:
yes, it is.
Step-by-step explanation:
Answer:
The point (-3, 2) lies outside of the circle centered at (4, 0) with radius 5.
Step-by-step explanation:
The distance between two points (x₁, y₁) and (x₂, y₂) on the x-y plane can be calculated with:
√((x₁ - x₂)² + (y₁ - y₂)²)
So in this case, with the points (-3, 2) and (4, 0), the distance is:
√((-3 - 4)² + (2 - 0)²)
√(49 + 4)
√(53) ≈ 7.28
Since 7.28 > 5, the point (-3, 2) lies outside of the circle centered at (4, 0) with radius 5.