1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ne4ueva [31]
3 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]3 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

You might be interested in
The slope of a line is 0 and it contains the point (3,1)
Sedaia [141]

Answer:

<h2>y = 1</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

<em>m</em><em> - slope</em>

<em>(x₁, y₁)</em><em> - point on a line</em>

We have <em>m = 0, (3, 1) → x₁ = 3, y₁ = 1</em>.

Substitute:

y-1=0(x-3)

y-1=0      <em>add 1 to both sides</em>

y=1

Other method.

If the slope is equal 0, then it's a horizontal line.

The equation of a horizontal line: <em>y = a</em>.

We have the point on a line (3, 1) → x = 3, y = 1.

Therefore the equation is <em>y = 1</em>.

3 0
3 years ago
7500 portions of strawberries have been ordered for the tournament, but because of bad weather only 5 /6 of the order has been d
Sladkaya [172]
The constant of proportionality is 1,250 the 5/6 is 6,250. You have to now find out the 10% by multiplying it which = 625. 625 is not the amount that they can sell that is the amount that they gave to the players and staff. So now you have to subtract 625 from 6,250 which would give you 5,625 strawberry's.
7 0
3 years ago
Savannah and her children went into a grocery store and she bought $22 worth of
nexus9112 [7]

Answer:

Step-by-step explanation:

p = peaches, m = mangos

1.75p + 1.50m = 22

m = p + 6

1.75p + 1.50(p + 6) = 22

1.75p + 1.50p + 9 = 22

1.75p + 1.50p = 22 - 9

3.25p = 13

p = 13 / 3.25

p = 4 <====== she bought 4 peaches

m = p + 6

m = 4 + 6

m = 10 <===== she bought 10 mangos

check...

1.75p + 1.50m = 22

1.75(4) + 1.50(10) = 22

7 + 15 = 22

22 = 22 (correct)

3 0
2 years ago
Hat is the length of the hypotenuse, x, is a Pythagorean triple? 22 29 41 42
aniked [119]
Of your numbers listed, 29 and 41 are the lengths of the hypotenuse of a Pythagorean triple.

Those triples are
  (20, 21, 29)
  (9, 40, 41)

_____
The On-Line Encyclopedia of Integer Sequences (OEIS) lists the hypotenuses of primitive triples as sequence number A020882.
4 0
3 years ago
An environmental engineer is tasked with determining whether a power plant cooling system is heating the water it uses more than
Tpy6a [65]

Answer:

1

The correct option is  b

2

The correct option is  h

Step-by-step explanation:

From the question we are told that

  The sample size is  n  = 15

   The difference in population proportion is d = 6

Generally the sample mean of the input temperature is  

     \= x_1  =  \frac{\sum x_i }{n}

=>  \= x_1  =  \frac{57.6 + 68.9 + \cdots +60.4  }{15}

=>  \= x_1  = 62.57

Generally the sample mean of the output temperature is  

     \= x_2  =  \frac{\sum x_i }{n}

=>  \= x_2  =  \frac{65.1 + 74.4 + \cdots +67.3 }{15}

=>  \= x_2 = 55.97

Generally the difference of the sample mean of the input temperature and that of the output temperature is  

     \= d  =  \= x_1  - \= x_2

=>  \= d  =  62.57 -55.97

=>  \= d  =  6.6

Generally the standard deviation is mathematically represented as

     s_d  =  \sqrt{\frac{\sum(d_1 - \= d )^2}{n} }

=>  s_d  =  \sqrt{\frac{([57.6- 65.1]- 6.6)^2+ ([68.9 - 74.4]- 6.6)^2 + \cdots +  ([60.4 -  67.3]- 6.6)^2 }{15} }

=>  s_d  = 1.732 [/texGenerally the test statistics is mathematically represented as       [tex]t  =  \frac{ d - \= d  }{ \frac{s_d}{\sqrt{n} } }

=>   t  =  \frac{ 6-6.6  }{ \frac{1.732}{\sqrt{15} } }

=>   t  =  1.3417

Generally the degree of freedom is mathematically represented as

    df =  n -  1

=>  df =  15 -  1

=>  df =  14

Generally the probability of t obtained from the t - distribution table at a degree of freedom of  df =  14 is  

      P(t >1.3417 )  =  0.10052569

Generally the p-value is mathematically represented as

      p-value  =  2 *  P(t >  1.3417)

=>    p-value  =  2 *   0.10052569

=>   p-value  =  0.201

From the values obtained we see that p-value  >  \alpha hence

The decision rule is  

Fail to  reject the null hypothesis

The conclusion is  

The cooling system changes the temperature of the water by 6 degrees.

 

8 0
3 years ago
Other questions:
  • Ricky completely filled a bucket to wash his car. After he finished Washing the car, 5/8 of the water remained in the bucket. Wr
    12·1 answer
  • Rex mixed x liters of fruit syrup with y liters of water to make a fruit punch. Three times the number of liters of water he mix
    12·2 answers
  • Meg uses 2 inches of ribbon to make each bow. how many bows can she make from 21 inches of ribbon?
    14·1 answer
  • What does it mean if the probability is 40% that a spinner will stop in a red section? Question 5 options: A. There is one chanc
    12·1 answer
  • What is the contrapositive of the statement? All squares are rectangles.
    10·2 answers
  • What is the value of ln e^4
    7·1 answer
  • What type of information is NOT found on a consumer's credit report?
    12·2 answers
  • There is $500 in Holly's bank account. She takes out $50 from her account each month but doesn't put money back in. What is the
    8·1 answer
  • a local park is shaped like a square with sides 6 meters long. A circular splash fountain is being placed in the middle of the p
    11·1 answer
  • 1/8 + 1/4 ?? Why do I need 20 characters to summit this
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!