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
Likurg_2 [28]
3 years ago
5

Learning outcome: Solve a linear system of equations in two and three variables using algebraic methods. Read and solve word pro

blems by modeling them with systems of linear equations. Activity: Let p represent the selling price for a bluetooth device. Suppose that the demand equation for this device can be modeled as the linear function D(p) = 200- 5p and that the supply equation for the same device as S(p) = 10p. Find the equilibrium price and quantity for this device keeping in mind that at market equilibrium demand equals supply.
Mathematics
1 answer:
Talja [164]3 years ago
8 0

Answer: Equilibrium price would be $13.33 and equilibrium quantity  would be 133.3 units.

Step-by-step explanation:

Since we have given that

Demand function is stated as

D(p)=200-5p

Supply function is stated as

S(p)=10p

We need to find the equilibrium price and quantity for this device.

For equilibrium, D(p) = S(p).

so, it becomes,

200-5p=10p\\\\200=10p+5p\\\\200=15p\\\\p=\dfrac{200}{15}\\\\p=\$13.33

and when we put the value of p in any function:

Q=10\times 13.33=133.3\ units

Hence, Equilibrium price would be $13.33 and equilibrium quantity  would be 133.3 units.

You might be interested in
What is the difference of the two polynomials? (9x2 + 8x) – (2x2 + 3x) 7x2 + 5x 7x2 + 11x 11x2 + 5x 11x2 + 11x
Anuta_ua [19.1K]

we have

(9x^{2}+8x)-(2x^{2}+3x)

Step 1

Eliminate the parenthesis

(9x^{2}+8x)-(2x^{2}+3x)=9x^{2}+8x-2x^{2}-3x

Step 2

Group terms that contain the same variable

9x^{2}-2x^{2}+8x-3x

Step 3

Combine like terms

7x^{2}+5x

therefore

the answer is

7x^{2}+5x

5 0
3 years ago
Read 2 more answers
While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After returning to the Uni
Virty [35]

Answer:

$44.70

Step-by-step explanation:

250÷1.3687

=182.655074158

182.655074158-150

=32.655074158

32.655074158×1.3687

=44.6950000001

5 0
2 years ago
1. Using the minimum, maximum, quartiles and median, sketch two side-by-side box plots to compare the haircut costs between male
zhannawk [14.2K]

The information about the mean and median shows that the females have more number of haircuts than the males.

<h3>What is a mean?</h3>

It should be noted that a mean simply means the average of a set of numbers that are given in a data.

In this case, the information about the mean and median shows that the females have more number of haircuts than the males.

This is depicted since the mean of females is 52.53 and the mean of males is 20.13.

Learn more about mean on:

brainly.com/question/1136789

#SPJ1

8 0
2 years ago
83 is 111% of what number? Round to the nearest hundredth
ExtremeBDS [4]

Answer:

The answer is 83

Step-by-step explanation:  

Number Rounded to Nearest 100th

83         83

83.001 83

83.002 83

83.003 83

83.004 83

83.005 83.01

83.006 83.01

83.007 83.01

83.008 83.01

83.009 83.01

4 0
3 years ago
Help quick I have 30 minutes left
pashok25 [27]
Use tiger algebra it help
3 0
2 years ago
Read 2 more answers
Other questions:
  • Pleaseeeeeeeee<br> Helpppppp<br> Meeeeeeee
    10·2 answers
  • The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x = 2 and x = 5. (10 points) G
    5·1 answer
  • Natasha is planning a school celebration and wants to have live music and food for everyone who attends. She has found a band th
    15·2 answers
  • Help me on question 4 plssssssssssss its science not maths
    7·1 answer
  • A plane averaged 500 mph on a trip going east, but only 200 mph on the return trip. The total flying time in both directions was
    10·1 answer
  • HELP 7th grade math
    12·2 answers
  • Mr. Moreno drove 60 miles in March. He drove 10 times as many miles in March as he did in January. He drove 6 times as many mile
    7·1 answer
  • ASAP
    15·1 answer
  • Translate the sentence into an equation.
    12·1 answer
  • Gabriel lives and works in Michigan, which has a flat state income tax of
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!