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
Ksivusya [100]
3 years ago
11

where p is the price (in dollars) and x is the number of units (in thousands). Find the average price p on the interval 40 ≤ x ≤

50. (Round your answer to two decimal places.)
Mathematics
1 answer:
marusya05 [52]3 years ago
8 0

THIS IS THE COMPLETE QUESTION BELOW

The demand equation for a product is p=90000/400+3x where p is the price (in dollars) and x is the number of units (in thousands). Find the average price p on the interval 40 ≤ x ≤ 50.

Answer

$168.27

Step by step Explanation

Given p=90000/400+3x

With the limits of 40 to 50

Then we need the integral in the form below to find the average price

1/(g-d)∫ⁿₐf(x)dx

Where n= 40 and a= 50, then if we substitute p and the limits then we integrate

1/(50-40)∫⁵⁰₄₀(90000/400+3x)

1/10∫⁵⁰₄₀(90000/400+3x)

If we perform some factorization we have

90000/(10)(3)∫3dx/(400+3x)

3000[ln400+3x]₄₀⁵⁰

Then let substitute the upper and lower limits we have

3000[ln400+3(50)]-ln[400+3(40]

30000[ln550-ln520]

3000[6.3099×6.254]

3000[0.056]

=168.27

the average price p on the interval 40 ≤ x ≤ 50 is

=$168.27

You might be interested in
Help me out please i will give branliest and 25 points !!!
Margarita [4]

Answer:

Answers A (1/3), C (4/15) and D (5/6) are all repeating decimals.  

Step-by-step explanation:

Repeating decimals are decimals in which a number or sequence of numbers is repeated over and over when dividing the numerator by the denominator of a fraction.  For example, when you divide 1 by 3 (1/3), you will get a repeating decimal of 0.3333...since 3 goes into 10 three times with a remainder of 1 and will keep going.  Likewise, when you divide 4/15, you get an initial value of 0.2, with a repeating 6, or 0.266666...  Lastly, when you divide 5/6, you will get a repeating decimal of 0.833333....  The other answers will all be terminating decimals when you divide the numerator by the denominator.  Terminating decimals mean the stop at some point and don't continue.  

6 0
3 years ago
Read 2 more answers
PLEASE HELP QUICK ITS ALMOST DUE!
konstantin123 [22]
if you start at the point (0,1), you are going to go up and over to (-2,4), which means you will go up 3 and to the left, which means negative, 2
rise/run
3/-2
4 0
3 years ago
Plz answer fast for this question
torisob [31]
170 cm. The unknown length on the left is 21 cm
5 0
3 years ago
Which number line represents the solution to [x-5]=1
alexandr402 [8]

Answer:

Step-by-step explanation:

If there are illustrations to given problems, please share those illustrations.  Thank you.  

The only value of x for which  [x-5]=1 is true is 6:   [6-5]=1

3 0
3 years ago
Read 2 more answers
Help me someone please
Andreas93 [3]

Answer:

150

Step-by-step explanation:

since a circle is 360 degrees, add up all of the other degrees and then subtract from 360

7 0
2 years ago
Other questions:
  • What would the coordinates of the points be now ?
    5·1 answer
  • Can you help me find the factors?
    5·1 answer
  • Find the product of 3 1/8 and 1 2/7 Express your answer in simplest form.
    8·1 answer
  • 8(3x+3)+3x<br> i don't know this answer
    8·1 answer
  • What the volume of this tank is?
    6·2 answers
  • Help pls will mark brainlist !! :)
    8·2 answers
  • Assume that four men and four women are to sit in a row of eight chairs. In how many ways can these people sit if all men must s
    8·1 answer
  • A cube has a side length of inch.
    12·1 answer
  • I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS MATH QUESTION RIGHT NOOOO SCAMS PLEASE AND PLEASE EXPLAIN WHY THAT IS THE ANSWER
    15·1 answer
  • The data displayed by the graph indicate that in 2000,
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!