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Ne4ueva [31]
2 years ago
13

Una compañía encuentra que su utilidad esta dada por R=2pe^-0.1p cuando au producto esta cotizado en p dolares por unidad. Encue

ntre la utilidad marginal con respecto al precio cuando p es a.) $5 b.) $10 c.) $15
Mathematics
1 answer:
e-lub [12.9K]2 years ago
5 0

Answer:

6.065; 7.358 ; 6.694

Step-by-step explanation:

Given that, profit is quoted using the function :

R = 2pe ^ -0.1p

(a)

When price 'p' = $5

R = 2(5)e^(-0.1*5)

R = 10e^(-0.5)

R = 10 * 0.6065306

R = 6.065

B)

When price 'p' = $10

R = 2(10)e^(-0.1*10)

R = 20e^(-1)

R = 20 * 0.3678794

R = 7.358

C.)

When price 'p' = $15

R = 2(15)e^(-0.1*15)

R = 30e^(-1.5)

R = 30 * 0.2231301

R = 6.694

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Answer:

1.  Group C; 2.  Group B; 3.  Group D; 4.  Group A

Step-by-step explanation:

These equations are in the form

y=-4.9t^2+v_0t+h_0\\\text{or}\\y=-16t^2+v_0t+h_0, where v₀ is the initial velocity and h₀ is the initial height.

The first equation has no value for v₀ and a value of 19 for h₀.  This means there is no velocity, so the ball is dropped, and since the initial height is 19, it is dropped from 19 meters.  This makes it group C.

The second equation has a value of 50 for v₀ and no value for h₀.  This means the initial velocity is 50 and there is no initial height.  This makes it group B.

The third equation has no value for v₀ and a value of 50 for h₀.  This means there is no initial velocity, so the ball is being dropped, and the initial height is 50.  This makes it group D.

The fourth equation has a value of 19 for v₀ and no value for h₀.  This means the initial velocity is 19 and there is no initial height.  This makes it group A.

7 0
2 years ago
Read 2 more answers
A frequency distribution is a tabular summary of data showing the a. number of items in several classes. b. relative percentage
Viefleur [7K]

Answer:

The answer is a: Number of items in several classes.

Step-by-step explanation:

Frequency distributions are tables that represent the number of times a specific data, number object etc appears in a sample. So for example if we have this data

2,2,4,4,6,6,6,8,8,10

The frequency distributions is

Number   frequency

2                  2

4                  2

6                  3

8                   2

10                  1

The other options are identical (c and are the same as percentages can be expressed as fractions. Relative percentages or fractions are  tables that express the weight that each category has in the entire data. An example for our data would be: (10 are the total number of obs)

Number             Fraction/%

2                          2/10 or 20%

4                         2/10 or 20%

6                          3/10 or 30%

8                           2/10 or 20%

10                            1/10 or 10%

6 0
2 years ago
How is the graph of y = negative RootIndex 3 StartRoot x minus 4 EndRoot transformed to produce the graph of y = negative RootIn
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Answer:

Multiply by ∛2 and translate the graph to left by 4 units.

Step-by-step explanation:

The initial function given is:

y = -∛(x - 4)

The transformed function is:

y = -∛(2x - 4)

Consider the initial function.

y = -∛(x - 4)

(Represented by Black line in the graph)

Multiply the function by ∛2. The function becomes:

y = -∛(x - 4) × ∛2

y = -∛(2)(x-4)

y = -∛(2x-8)

(Represented by Red line in the graph represents this function)

Translate the graph 4 units to the left by adding 4 to the x component:

y = -∛(2x-8+4)

y= -∛(2x - 4)

(Represented by Blue line in the graph)

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