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OLga [1]
2 years ago
15

The Cool Company determines that the supply function for its basic air conditioning unit is S(p) = 30 + 0.006p3 and that its dem

and function is D(p) = 150 - 0.12p2, where p is the price. Determine the price for which the supply equals the demand.

Mathematics
1 answer:
vitfil [10]2 years ago
4 0
To obtain a fast solution for this problem

I will graph both functions and find the points of intersection.

Looking at both graphs, we can see that the point of intersection is
(21.859,92.664)

The price for which the supply equals the demand is 21.859 


You might be interested in
sophia says that you can solve the problem in the Example by multiplying both quantities in the ratio 60 : 36 by 1 . Is Sophia c
guapka [62]

Answer:

No multiplying both quantities in the ratio 60 : 36 by 1  would not give the answer .

But multiplying both quantities in the ratio 60 : 36 by 1/6  would solve it.

Step-by-step explanation:

Multiplying any number or ratio by 1 gives the same answer no matter what the expression or how much bigger the number is.This will not give the solution .

If it is multiplied with a fraction like 1/6  that would give the correct answer.

Multiplying it with 1/6 reduces the ratio and gives a better estimate.

A:B

60:36

60*1/6: 36*1/6

10: 6

Meaning that for a total of 16 there are 10 of category A and 6 of category B.

But if we do the same procedure with the answer is same which does not solve the question.

A:B

60:36

60*1: 36*1

60: 36

4 0
2 years ago
Find the exact value of cos A in simplest radical form?​
Mamont248 [21]

Answer:

cosA = 7/8

Step-by-step explanation:

cos∅ = adjacent over hypotenuse

cosA = 14/16

cosA = 7/8

3 0
2 years ago
You want to order carpet for an area in your house. The room measures 12 feet by 10 feet. Remember, Area = Length × Width. If ea
pochemuha

Answer:

402.9 $

Step-by-step explanation:

first you must turn foot into yards "every 3 foot = 1 yard"

3.33 , 4

then we will use the area=length x width formula

3.33 x 4 = 13.32 square yards

the cost of the carpet is

13.32 x 30.25 = 402.9$

4 0
2 years ago
2. The ground below your feet moves at the rate at which
garik1379 [7]
I’m just going off of what I was told in fifth grade, and we were told it was finger nails. Hope this helps!
5 0
2 years ago
Find the area of the part of the sphere x2 + y2 + z2 = 100z that lies inside the paraboloid z = x2 + y2.
vekshin1
x^2+y^2+z^2=100z\iff x^2+y^2+(z-50)^2=50^2

The surface of interest can be parameterized by

\mathbf r(u,v)=\begin{cases}x(u,v)=50\cos u\sin v\\y(u,v)=50\sin u\sin v\\z(u,v)=50(\cos v+1)\end{cases}

with 0\le u\le2\pi and 0\le v\le\arccos\dfrac{49}{50}.

The area of the surface S is given by the surface integral

\displaystyle\iint_S\mathrm dA=\iint_T\left\|\mathbf r_u\times\mathbf r_v\right\|\,\mathrm du\,\mathrm dv

We have

\|\mathbf r_u\times\mathbf r_v\|=50^2\sin v

so the area is given by the double integral

\displaystyle50^2\int_{u=0}^{u=2\pi}\int_{v=0}^{v=\arccos(49/50)}\sin v\,\mathrm dv\,\mathrm du=100\pi
6 0
2 years ago
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