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noname [10]
2 years ago
8

Which of the following decimal representations is an example of a rational number?

Mathematics
1 answer:
STALIN [3.7K]2 years ago
8 0
B because the line over the 28 means that it’s repeating and a repeating decimal = rational number example : 27.67777777 is a rational number because it’s repeating and an irrational number would be 27.6719473637
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Elasticity of Demand The demand function for a certain brand of backpacks is
Trava [24]

Answer:

See explanation

Step-by-step explanation:

Solution:-

- The demand function of a certain brand is given as price P a function of x quantity of goods ( in hundred ) demanded per month. The relation is:

                           P ( x ) = 50 Ln ( 50 / x ).

- The point price elasticity ( E ) of demand is given by:

                           E = \frac{P}{x}*\frac{dP}{dx}  

- Where, dP / dx : is the rate of change of price ( P ) with each hundred unit of good ( x ) is demanded.

- To determine the " dP / dx " by taking the first derivative of the given relation:

                          P ( x ) = 50 Ln ( 50 / x ).

                          d P ( x ) / dx = [ 50*x / 50 ] * [ -1*50 / x^2 ]

                                              = - 50 / x

- Hence the point price elasticity of demand is given by:

                          E = - ( P / x ) * ( 50 / x )

                          E = -50*P / x^2    

- For an inelastic demand, ! E ! is < 1:

                          ! -50*P / x^2 ! < 1

                          50*P / x^2 < 1

                          P < x^2 / 50

- For an unitary demand, ! E ! is =  1:

                          ! -50*P / x^2 !  = 1

                          50*P / x^2 = 1

                          P = x^2 / 50

- For an inelastic demand, ! E ! is > 1:

                          ! -50*P / x^2 ! > 1

                          50*P / x^2 > 1

                          P > x^2 / 50

2)

If the unit price is increased slightly from $50, will the revenue increase or decrease?

- We see from the calculated demand sensitivity d P / dt:

                          d P ( x ) / dx = - 50 / x

- We see that as P increases the from P = $50, the quantity of goods demanded would be:

                          50 = 50 ln(50/x)

                           1 = Ln ( 50 / x )

                           50/x = e

                           x = 50 / e

Then,

                          d P ( x ) / dx = - 50 / ( 50 / e )

                          d P ( x ) / dx = - e

- We see that if price slightly increases from $ 50 then the quantity demanded would decrease by e (hundreds ) goods.

- The decrease in the quantity demanded is higher than the increase in price. The revenue is given by the product of price P ( x ) and x:

                Revenue R ( x ) = P ( x ) * x

                                = 50*x*ln(50/x)

Then the product of price and quantity goods also decreases; hence, revenue decreases.

8 0
3 years ago
Can you solve for b bh=r
Alenkasestr [34]

Answer: b = r/h

Step-by-step explanation:

To solve for b, simply divide both sides of the equation by h to get:

bh/h = r/h

b = r/h

Hope it helps :) and let me know if you want me to elaborate.

8 0
2 years ago
Read 2 more answers
What is another name for the height of a prism?
ohaa [14]

Answer:

C. Altitude

Step-by-step explanation:

A prism is a polyhedron, with two parallel faces called bases.

4 0
3 years ago
Read 2 more answers
A rectangular table top measures 8/9 of a meter long by 2/3 of a meter wide. what is its area
erma4kov [3.2K]
Area= l×w
       = 8/9 × 2/3
       =16/27
     area = 16/27 m²
hope i hel[ped
6 0
3 years ago
Solve this a interval notation. 5 greater than or equal to |4-2x|
rosijanka [135]
5≥|4-2x|
5≥4-2x≥-5
-1≤2x≤9
-0.5≤x≤4.5
x∈[-0.5;4.5]

4 0
2 years ago
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