The demand for a product is q = D(x) = V200 – x where x is the price. A. (6 pts) Find the elasticity of demand, E(x). B. (4 pts) Is demand elastic or inelastic when x=$150? C. (6 pts) Find the price x when revenue is a maximum. (Round to 2 decimal places)

Answers

Answer 1

A. The elasticity of demand is given by E(x) = x/(V200 - x)²

B.  The demand is inelastic at x=$150

C.  The price x that maximizes revenue is x=$100.

How to find the elasticity of demand?

A. The elasticity of demand is given by:

E(x) = -x(D(x)/dx)/(D(x)/dx)²

D(x) = V200 - x

Therefore, dD(x)/dx = -1

E(x) = -x(-1)/(V200 - x)²

E(x) = x/(V200 - x)²

How to find the demand is elastic or inelastic at x=$150?

B. To determine whether the demand is elastic or inelastic at x=$150, we need to evaluate the elasticity of demand at that point:

E(150) = 150/(V200 - 150)²

E(150) = 150/(2500)

E(150) = 0.06

Since E(150) < 1, the demand is inelastic at x=$150.

How to find the price x that maximizes revenue?

C. Revenue is given by R(x) = xD(x)

R(x) = x(V200 - x)

R(x) = V200x - x²

To find the price x that maximizes revenue, we need to find the critical point of R(x). That is, we need to find the value of x that makes dR(x)/dx = 0:

dR(x)/dx = V200 - 2x

V200 - 2x = 0

x = V100

Therefore, the price x that maximizes revenue is x=$100.

Learn more about revenue maximization

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a. s=94 b. s=8w+54 c. w=14

Step-by-step explanation:

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Answer:

90 degree - 60 degree = 30 degree always remember yn will be 90 degree

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MN = π

Step-by-step explanation:

The arc MN is calculated as

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      = 2πr × [tex]\frac{60}{360}[/tex] ( r is the radius )

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• Slope = 2
Y-intercept = -5

Answers

y = mx + b

y = 2x - 5

you can go to desmos calculator online and simply put in the equation. but what you're going to do is find -5 on the y axis. then you will go up 2 and then 1 to the right.

it should look like this:

hope this helps !!

The equation is y=2x-5

The side lengths of a square are each 4p. By adding 3 to the length and subtracting 3 from the width, a rectangle is made. What is the area of the rectangle?

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Answer:

16p^2 - 24p - 9

Step-by-step explanation:

I literally just took the test lol

16. Solve the system of equations by graphing.
y = x + 8
y = - x- 6


Answers

Answer:

Step-by-step explanation:

x + 8 = -x - 6

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can some one help me please....

step by step explanation........ ​

Answers

Answer:

There are 77 members in the group.

Step-by-step explanation:

1Rs = 100 paise ( Indian Currency Conversion )

Given,

Total amount collected is = Rs 59.29

Now convert Rs 59.29 to paise that is 59.29 × 100 = 5929 paise

Condition :- Paise collection = Total number of members

Consider any of the above condition as X

So, X² = 5929

X = √5929 = 77

Thus, Total number of members in the group is 77 [ Option C ]

Hope this helps you.

If 2 feet is equal to 60.96 centimeters how many centimeters are in 12 feet PLEASE HELP

Answers

Answer:

365.76

Step-by-step explanation:

If 2 feet is 60.96, then 1 foot is 30.48.

30.48 times 12 = 365.76

365.76 centimeters is the answer.

Hope this helps!

Plz, mark brainliest!

Answer:

365.76 cm in 12 feet

Step-by-step explanation:

Start by setting up two fractions which are equal to one another. We will use x as the unknown amount, which is the number of centimeters in 12 feet here.(see attached picture for a visual)

Now we can cross multiply, which gives us 12*60.96=2*x

Now, solving for x we divide 12*60.96=731.52 by 2, which gives us x=365.76 centimeters in 12 feet.

The school production of​ 'Our Town' was a big success. For opening​ night, 391 tickets were sold. Students paid ​$4.00 ​each, while​ non-students paid ​$6.00 each. If a total of $1786 was​ collected, how many students and how many​ non-students attended?

Answers

Answer:

280 students

111 non students

Step-by-step explanation:

number of students (S)

number of non students (N)

S+N=391     S=391-N

4S+6N=1786

substitute S

4(391-N)+6N=1786

1564-4N+6N=1786

subtract 1564 from each side

2N=222

N=111

S=391-111=280

which sentence demonstrates the multiplicative identity?

1. 1/2•1=1/2
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It’s 1/2•2 equals 1 because it showed correctly in the calculator. 0.5x2=1

Answer:

It’s 1/2•2 equals 1 because it showed correctly in the calculator. 0.5x2=1

Step-by-step explanation:

A tree casts a shadow that is 9 feet long. The distance from the top of the tree to the end of the shadow is 15 feet. What is the height of the tree?​

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Answer:

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10

Step-by-step explanation:

What is the product of these two binomials?
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Step-by-step explanation:

Please refer to the attachment

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I believe the answer is (0,0)

Answer:

(0,0)

Step-by-step explanation:

That is the middle.

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Answer:

c

Step-by-step explanation:

.5xBxH=.5x16x5=8x5=40

Answer:

c

Step-by-step explanation:

sources: dude trust me

The simple interest earned for certain amount for 3 years at 5% is AED. 450. The amount invested is ________.

I need the steps also

Answers

Answer:

AED 3000

Step-by-step explanation:

Let the invested amount is x

Interest rate is r = 5% simple = 0.05 timesTime is t =  3 yearsInterest amount I = AED. 450

Using the interest formula and solving for x:

P*r*t = Ix*0.05*3 = 4500.15x = 450x = 450/0.15x = 3000

The amount invested is AED 3000

What is the sum of the rational expressions below? 2x + 7 / x + 5 + x - 3 / x + 5

Answers

Answer:

[tex]\frac{3x+4}{x+5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{2x+7}{x+5}[/tex] + [tex]\frac{x-3}{x+5}[/tex]

Since both fractions have a common denominator then add the numerators, placed over the common denominator.

= [tex]\frac{2x+7+x-3}{x+5}[/tex]

= [tex]\frac{3x+4}{x+5}[/tex]

Answer:

The answer is

[tex] \frac{3x + 4}{x + 5} [/tex]

Step-by-step explanation:

We can do this by using the denominators.

[tex]then \\ \frac{2x + 7}{x + 5} + \frac{x - 3}{x + 5} \\ = \frac{2x + 7 + x - 3}{x + 5} \\ = \frac{3x + 4}{x + 5} [/tex]

what this answer
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Answer:

Answer is 89,731

Step-by-step explanation:

I hope it's helpful!

Answer:

89731

Step-by-step explanation:

954328 - 864597

= 89731

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Answers

Answer:

addition property of equality

Step-by-step explanation:

Given the equation 4(x-5) = -12

Expand

4x - 20 = -12

Add 20 to both sides (addition property of equality)

4x-20+20 = -12+20

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Answer:

2

Step-by-step explanation:

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please please help! i just answered a few questions just to post this im using all my points.

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Answer:

Step-by-step explanation:

∠RST=180-44-15

         =121°

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∠RST=∠LMN (proven)

∠TRS=∠NLM (given)

∴ΔRST ~ ΔLMN (AA)

Answer:

Yes

Step-by-step explanation:

If all the angles in the triangles are the same, then the triangles are similar.

ΔSRT: The angles in a triangle add up to 180. 44+15+x=180, x=121

ΔLMN: The angles in a triangle add up to 180. 44+121+x=180, x=15

Both triangles share the same angles (44,15 and 121), so they are similar.

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Answer:

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Step-by-step explanation:

Stu is buying a &35 tool. The store reduces the price by 5%. How much will Stu pay for the tool?

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Correct question is:

stu is buying a $35 tool. The store reduces the price by 5% and then applies an $8 off coupon. How much will Stu pay for the tool

Answer:

$25.25

Step-by-step explanation:

The cost of the tool has been given as $35.

The price of this tool is then reduced by 5%.

When we apply this reduction to initial price

= 35 * 5%

= 35x0.05

= $33.25

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= $25.25

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Answer:

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Step-by-step explanation:

By geometric mean property:

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By Pythagoras Theorem:

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Answer:

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Answer:

to identify the minimum of the table try looking at the negative numbers first and then look at the positive numbers

John has $80. Every week, he spends $7.
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Enter the equation and the answer on separate lines.

Answers

John would have 52 dollars left by the fourth week.
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a scientist is studying wildlife. she estimates the population of bats in her state to be 270,000. she predicts the population to grow at an average annual rate of 2.9 percent

using the scientists prediction, create an equation that models the population of bats, y, after t years.

Answers

Answer:

Step-by-step explanation:

y = 270,000 ×1.029^t

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