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user100 [1]
2 years ago
14

The administrator of a county's museum is considering increasing the price of an annual pass by 1% from $55 to $55.55. At the cu

rrent price, the museum sells 2000 annual passes and the point of elasticity is 0.62. What effect would the increase in price have on the museum's annual pass revenue?
Mathematics
1 answer:
atroni [7]2 years ago
8 0

The increase in price would  increase the annual pass revenue of the museum.

<h3>What is the effect of the increase in price on the annual pass revenue?</h3>

In order to determine the effect the increase in price would have on revenue, we have to examine the elasticity of demand of the museum pass.

The point elasticity is 0.62. This means that demand is inelastic. This means that when price increases, there would be little or no change in the quantity demanded. As a result, revenue would increase.

To learn more about price elasticity of demand, please check: brainly.com/question/18850846

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find a curve that passes through the point (1,-2 ) and has an arc length on the interval 2 6 given by 1 144 x^-6
taurus [48]

Answer:

f(x) = \frac{6}{x^2} -8 or f(x) = -\frac{6}{x^2} + 4

Step-by-step explanation:

Given

(x,y) = (1,-2) --- Point

\int\limits^6_2 {(1 + 144x^{-6})} \, dx

The arc length of a function on interval [a,b]:  \int\limits^b_a {(1 + f'(x^2))} \, dx

By comparison:

f'(x)^2 = 144x^{-6}

f'(x)^2 = \frac{144}{x^6}

Take square root of both sides

f'(x) =\± \sqrt{\frac{144}{x^6}}

f'(x) = \±\frac{12}{x^3}

Split:

f'(x) = \frac{12}{x^3} or f'(x) = -\frac{12}{x^3}

To solve fo f(x), we make use of:

f(x) = \int {f'(x) } \, dx

For: f'(x) = \frac{12}{x^3}

f(x) = \int {\frac{12}{x^3} } \, dx

Integrate:

f(x) = \frac{12}{2x^2} + c

f(x) = \frac{6}{x^2} + c

We understand that it passes through (x,y) = (1,-2).

So, we have:

-2 = \frac{6}{1^2} + c

-2 = \frac{6}{1} + c

-2 = 6 + c

Make c the subject

c = -2-6

c = -8

f(x) = \frac{6}{x^2} + c becomes

f(x) = \frac{6}{x^2} -8

For: f'(x) = -\frac{12}{x^3}

f(x) = \int {-\frac{12}{x^3} } \, dx

Integrate:

f(x) = -\frac{12}{2x^2} + c

f(x) = -\frac{6}{x^2} + c

We understand that it passes through (x,y) = (1,-2).

So, we have:

-2 = -\frac{6}{1^2} + c

-2 = -\frac{6}{1} + c

-2 = -6 + c

Make c the subject

c = -2+6

c = 4

f(x) = -\frac{6}{x^2} + c becomes

f(x) = -\frac{6}{x^2} + 4

3 0
3 years ago
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Step-by-step explanation:

<u>Step 1:  Convert into expressions</u>

y = one-fourth x minus 1 → y = \frac{1}{4}x-1

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Answer: Option A, (1, negative three-fourths)

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3 years ago
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Total is 518.4
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This is a arithmetic sequence, so all we need to do is subtract the numbers and find the common difference.

40 - 24 = 16

56 - 40 = 16

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Therefore, the common difference is 16.

Best of Luck!

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