Calculate the consumers' surplus (in dollars) at the indicated unit price p for the demand equation. p = 12 – 2q^{1/3}; p = 6

Answer:

the larger number is 452/7 and the smaller number is 1356/28

Based on the given statement, you have the following equation:

2 + x = 0

In order to solve the previous expression for x, subtract 2 both sides, as follow:

2 - 2 + x = -2

x = -2

Hence, the value of x is -2

The probability that there will be no mutual best friendships is\([(n-1)/n]^{(2n)}\).

Given that there are n users in each group, A and B;

For a user in group A, the probability that this user selects someone who is not their mutual best friend is (n-1)/n

The probability that all users in group A choose someone who is not their mutual best friend is

For each user in group B;

the probability of not choosing their mutual best friend is (n-1)/n,

The probability that all users in group B choose someone who is not their mutual best friend is \([(n-1)/n]^{n}\)

The events of users in group A and users in group B choosing their mutual best friends are independent, therefore;

P(no mutual best friendships) = \([(n-1)/n]^n * [(n-1)/n]^n\)

P(no mutual best friendships) =\([(n-1)/n]^{(2n)}\)

Learn more about probability at: https://brainly.com/question/25870256

#SPJ4

Answer:

135 m

Step-by-step explanation:

Draw a diagram, set your calculator to degrees and solve.

Answer:

median:30 mode:42 range:36

Step-by-step explanation:

i did the math on my netpad and i dont want to type it but there you go goodluck.

The maturity value of the investment would be $8,858.80.

To calculate the maturity value, we need to calculate the compound interest for each period separately and then add them together.

For the first 18 months, the interest is compounded semi-annually at a rate of 5%. Since there are two compounding periods per year, we divide the annual interest rate by 2 and calculate the interest for each period. The formula for compound interest is A = P(1 + r/n)^(nt), where A is the maturity value, P is the principal amount, r is the annual interest rate, n is the number of compounding periods per year, and t is the number of years. Plugging in the values, we get A = 8000(1 + 0.05/2)^(2*1.5) = $8,660.81.

For the next 5 months, the interest is compounded monthly at a rate of 10%. We use the same formula but adjust the values for the new interest rate and compounding frequency. Plugging in the values, we get A = 8000(1 + 0.10/12)^(12*5/12) = $8,858.80.

Therefore, the maturity value of the certificate after the specified period would be $8,858.80.

Learn more about compound interest here:

https://brainly.com/question/22621039

#SPJ11

Answer:

140ft.^2

Step-by-step explanation:

3.5 x 4 = 14 (the width)

2.5 x 4 = 10 (the length)

- to find the area of the rectangle, you multiply the width and length

14 x 10 = 140

if you need a more detailed explanation i am free to give one!!

Answer:

20%

Step-by-step explanation:

We can start by finding out how much the price of the television was reduced by.

250 - 200 = 50

Now, we need to know what percent of 250 is 50? Let x represent the percent of 250 that is 50. Using this, we can set up an equation:

\(x\%\times 250=50\)

Notice that a percentage can also be written as that number over 100.

\(\frac{x}{100}\times250=50\)

\(\frac{250x}{100}=50\)

Reduce the fraction (250 and 100 have a common factor of 10)

\(\frac{25x}{10}=50\)

Reduce the fraction again (25 and 10 have a common factor of 5)

\(\frac{5x}{2}=50\)

Multiply both sides by two

\(5x=100\)

Divide both sides by 5

\(x=20\)

Therefore the price of the television was reduced by 20%.

Therefore , the solution of the given problem of triangle comes out to be  the equilateral triangle are is 62.28 cm².

In geometry, triangular polygons are ones that have three vertices and a right side. This object in two dimensions has three straight sides. Triangles are examples of three-sided polygons. The sum of a triangle's three angles is 180 degrees. The triangle lies on one plane.

Here,

Given : side = 12cm

Area of an equilateral triangle

=> √3/4 * side²

Side of triangle =12 cm

Area of an equilateral triangle

= >  √3/4 * 12²

=>√3/4 * 12*12

=> 62.28 cm²

Therefore , the solution of the given problem of triangle comes out to be  the equilateral triangle are is 62.28 cm².

To know more about triangle, visit

brainly.com/question/2773823

#SPJ4

Answer:

i dont know man

Step-by-step explanation:

oo

Answer:

Given -

Now, we'll calculate the work done by both the taps -

\( \\ \sf \: \frac{1}{4} + \frac{1}{6} \\ \\ \\ \bf \: lcm \: \: of \: \: 4 \: \: \& \: \: 6 = 12 \\ \\ \\ \implies \sf \: \frac{3 + 2}{12} \\ \\ \\ \implies \sf \frac{5}{12} \\ \\ \)

Now, reciprocal it -

\( \\ \implies \sf \frac{12}{5} = 2 \frac{2}{5} \\ \)

Therefore, time taken by both the taps will be 2 2/5 hours.

Answer:

b) 75%

c) 150%

d) 90%

Step-by-step explanation:

Answer: no

Step-by-step explanation:

if x = 5

4(5) = 15 + 4

20 = 19

Therefore no

Answer:

No

Step-by-step explanation:

Smoking and use of electronic cigarettes (vaping)  in relation to preterm birth -

What is e-cigarette meaning?

A device that has the shape of a cigarette, cigar, or pen and does not contain tobacco. It uses a battery and contains a solution of nicotine, flavorings, and other chemicals, some of which may be harmful.

Learn more about E-cigarettes

brainly.com/question/14895884

#SPJ4

Answer:

353,760 feet per hour

Step-by-step explanation:

multiply 5280 by 67.

Answer:

353760

Step-by-step explanation:

Answer:

2sqrt(13)

Step-by-step explanation:

x = sqrt(36 + 16)

x = sqrt(52)

x = sqrt(4*13) = 2sqrt(13)

Answer:

891,962,172,409

Step-by-step explanation:

that is standard form

The text discusses a production function and addresses various aspects of a firm's decision-making. It covers profit maximization, factor demand functions, supply function, profit function, Hotelling's lemma, cost minimization, conditional factor demand functions, and the cost function. These concepts are derived using mathematical calculations and formulas. Hotelling's lemma is verified, and the cost function is determined.

(a) The firm's profit maximization problem can be stated as follows: Maximize profits (π) by choosing the optimal levels of inputs (z and zo) that maximize the output (y) given the prices of output (p) and inputs (w, w₂).

(b) To derive the firm's factor demand functions, we need to find the conditions that maximize profits.

The first-order condition for input z is given by:

∂π/∂z = p * (∂f/∂z) - w = 0

Substituting the production function f(z) = z^(1/4) / z^(1/2) into the above equation, we have:

p * (1/4 * z^(-3/4) / z^(1/2)) - w = 0

Simplifying, we get:

p * (1/4 * z^(-7/4)) - w = 0

Solving for z, we find:

z = (4w/p)^(4/7)

Similarly, for input zo, the first-order condition is:

∂π/∂zo = p * (∂f/∂zo) - w₂ = 0

Substituting the production function f(zo) = z^(1/4) / z^(1/2) into the above equation, we have:

p * (1/2 * z^(1/4) * zo^(-3/2)) - w₂ = 0

Simplifying, we get:

p * (1/2 * z^(1/4) * zo^(-3/2)) - w₂ = 0

Solving for zo, we find:

zo = (2w₂ / (pz^(1/4)))^(2/3)

(c) To derive the firm's supply function, we need to find the level of output (y) that maximizes profits.

Using the production function f(z), we can express y as a function of z:

y = z^(1/4) / z^(1/2)

Given the factor demand functions for z and zo, we can substitute them into the production function to obtain the supply function for y:

y = (4w/p)^(4/7)^(1/4) / (4w/p)^(4/7)^(1/2)

Simplifying, we get:

y = (4w/p)^(1/7)

(d) The firm's profit function is given by:

π = p * y - w * z - w₂ * zo

Substituting the expressions for y, z, and zo derived earlier, we have:

π = p * ((4w/p)^(1/7)) - w * ((4w/p)^(4/7)) - w₂ * ((2w₂ / (pz^(1/4)))^(2/3))

(e) To verify Hotelling's lemma, we need to calculate the partial derivatives of the profit function with respect to the prices of output (p), input z (z₁), and input zo (z₂).

Hotelling's lemma states that the partial derivatives of the profit function with respect to the prices are equal to the respective factor demands:

∂π/∂p = y - z * (∂y/∂z) - zo * (∂y/∂zo) = 0

∂π/∂z₁ = -w + p * (∂y/∂z₁) = 0

∂π/∂z₂ = -w₂ + p * (∂y/∂z₂) = 0

By calculating these partial derivatives and equating them to zero, we can verify Hotelling's lemma.

(f) The firm's cost minimization problem can be stated as follows: Minimize the cost of production (C) given the level of output (y), prices of inputs (w, w₂), and factor demand functions for inputs (z, zo).

(g) To derive the firm's conditional factor demand functions, we need to find the conditions that minimize costs. We can express the cost function as follows:

C = w * z + w₂ * zo

Taking the derivative of the cost function with respect to z and setting it to zero, we get:

∂C/∂z = w - p * (∂y/∂z) = 0

Simplifying, we have:

w = p * (1/4 * z^(-3/4) / z^(1/2))

Solving for z, we find the conditional factor demand for z.

Similarly, taking the derivative of the cost function with respect to zo and setting it to zero, we get:

∂C/∂zo = w₂ - p * (∂y/∂zo) = 0

Simplifying, we have:

w₂ = p * (1/2 * z^(1/4) * zo^(-3/2))

Solving for zo, we find the conditional factor demand for zo.

(h) The firm's cost function is given by:

C = w * z + w₂ * zo

Substituting the expressions for z and zo derived earlier, we have:

C = w * ((4w/p)^(4/7)) + w₂ * ((2w₂ / (pz^(1/4)))^(2/3))

This represents the firm's cost function.

To know more about profit maximization problem, refer here:

https://brainly.com/question/29787532#

#SPJ11

The calculated volume of the dilated prism is 141.75 cubic feet

From the question, we have the following parameters that can be used in our computation:

The volume is calculated as

Volume = Base area * Heigth

For the dilated prism, we have

Volume = Base area * Heigth * Scale factor³

substitute the known values in the above equation, so, we have the following representation

Volume = 6 * 7 * (3/2)³

Evaluate

Volume = 141.75

Hence, the volume of the dilated prism is 141.75 cubic feet

Read mroe about volume at

https://brainly.com/question/463363

#SPJ1

Answer:

The given parameters of the investment are;

The rate of decrease of the investment, r = -10%

The original amount of the investment, P = $75.00

Let 'A' represent the final answer (value of the investment) after the decrease in the investment, 'r', is applied, we have;

The algebraic equation that can be used to arrive at the final answer, 'A', is given as follows;

A = P + r·P

Therefore by substituting the given values, we have;

A = $75.00 + (-10/100) × $75.00 = $75.00 - 0.1 × $75.00 = $75.00 - $7.50

A = $75.00 - $7.50 = $67.50

The final amount or answer, A = $67.50

Step-by-step explanation:

Answer:

1/7y and 2/7

Step-by-step explanation:

Answer:

Step-by-step explanation:

First find the natural log of 4200:  It is 8.343.

Then 4200 = e^8.343

Answer:

81 a 4 − 108 a 3 b+ 54 a 2 b 2 − 12 a b 3 + b 4

Step-by-step explanation:

hope i helped

Answer:

25

Step-by-step explanation:

(y+2)^2=x

(-7+2)^2=x

(-5)^2=x

(-5)(-5)=x

25=x

Hope that helps :)

Answer:

x=25

Step-by-step explanation:

Plug it innnn plug it innnn

Answer: 1.5 inches of steel for one spring

Step-by-step explanation:  

I divided 450 by 300 which gets you to 1.5 next to check your answer you multiply that by 300 which gets you to 450

Answer1/4  hope this help

Step-by-step explanation:

The football game was attended by 225 teenagers out of 900 people who attended the game.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

The number of teenagers who attended the game can be calculated by finding the percentage of people who were teenagers. The word formula for the calculation as;

Number of teenagers in the game = 900 × 25%

Writing the percentage as fraction;

Number of teenagers in the game = 900 × 25/100

Cancelling zero as common in numerator and denominator

Number of teenagers in the game = 9 × 25

Performing multiplication on Right Hand Side of the equation

Number of teenagers in the game = 225

Hence, there are 225 teenagers.

Learn more about percentage -

brainly.com/question/24877689

#SPJ2

Answer:

$0

Step-by-step explanation:

I hope this helps!

Answer:

she can spend no more than 64, and if this is incorrect, do 63

Step-by-step explanation:

Answer:

The probability is 0

Step-by-step explanation:

From the first bag, the total number of counters is 5 + 3 = 8

The probability of taking a blue counter from the first bag is the number of blue counters divided by the total number of counters

Mathematically, we have this as;

3/8

For the second bag, all the counters are red with no blue counter

So the probability of taking a blue counter here is 0

Now, the probability that he takes a blue counter in A and a blue counter in B will

be;

3/8 * 0 = 0