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
nordsb [41]
3 years ago
5

If the demand function for a commodity is given by the equation

Mathematics
1 answer:
Margarita [4]3 years ago
7 0

Answer:

Equilibrium quantity = 26.92

Equilibrium price is $31.13

Step-by-step explanation:

Given :Demand function : p^2 + 16q = 1400

           Supply function : 700 -p^2 + 10q = 0

To Find : find the equilibrium quantity and equilibrium price.

Solution:

Demand function : p^2 + 16q = 1400  --A

Supply function : p^2-10q=700 ---B

Now to find the equilibrium quantity and equilibrium price.

Solve A and B

Subtract B from A

p^2-10q -p^2-16q=700-1400

-26q=-700

26q=700

q=\frac{700}{26}

q=26.92

So, equilibrium quantity = 26.92

Substitute the value of q in A

p^2 + 16(26.92) = 1400

p^2 + 430.72 = 1400

p^2 = 1400- 430.72

p^2 = 969.28

p = \sqrt{969.28}

p = 31.13

So, equilibrium price is $31.13

You might be interested in
Helpppppppp??????????
Alexxx [7]

Answer:

<em>Answer is option d</em><em> </em>

<em>Answer is </em><em>given below with explanations</em><em>. </em>

Step-by-step explanation:

We can prove that the two triangles are similar.

We can prove this using AA criterion of similarity.

In triangle DNC and triangle QSC

Vertically opposite angles are equal.

Then Angle QCS = Angle DCN

Two parallel lines cut by a transversal line make the alternate angles are equal.

Then Angle NDC = Angle CQS

By AA criterion of similarity

TRIANGLE DNC ~ TRIANGLE QSC

<em>HAVE A NICE DAY</em><em>!</em>

<em>THANKS FOR GIVING ME THE OPPORTUNITY</em><em> </em><em>TO ANSWER YOUR QUESTION</em><em>. </em>

8 0
3 years ago
Read 2 more answers
an airline is trying to promote its new Boston to Atlanta flight. the usual price for this flight is $315.00. however the airlin
Veronika [31]

\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{40\% of 315}}{\left( \cfrac{40}{100} \right)315}\implies 126~\hfill \underset{\textit{after discount}}{\stackrel{315~~ - ~~126}{189}}

8 0
2 years ago
Plz help me on this quick
Studentka2010 [4]

Answer: The third one

Step-by-step explanation: We can eliminate the first one right off the bat sinc we see that -4 has two outputs. Next, the graph's equation has no slope (x=3) so the input is all the same. Thirdly, the table shows a relationship between x and y and the numbers don't have a pattern that shows more than one output or input for a number. The fourth option are simply coordinates, it doesn't particularly tell us that all the coordinates are related to each other.

7 0
2 years ago
Somebody help me !!!! HELPP please!!!
stellarik [79]
Step 1: Read and understand the problem statement.

You are given (time, depth) pairs of (20 s, 8 cm) and (40 s, 0 cm) and asked to write an equation that describes the relationship of depth (y) to time (x).

The rate of change is (0 cm -8 cm)/(40 s -20 s) = -8 cm/(20 s) = -2/5 cm/s. Then in point-slope form using the second point, the linear function rule is
  y = (-2/5)(x -40) +0
You can expand this to
  y = (-2/5)x +16
  y = -0.4x +16 . . . . . . using a decimal number for the slope

_____
If the bathtubs in your "draining race" start with the same level, the one with the steepest slope (-0.5 cm/s) will win.

8 0
3 years ago
If you are given the graph of h(x) = log. x, how could you graph m(x) = log2(x+3)?
Agata [3.3K]

Answer:

Option (d).

Step-by-step explanation:

Note: The base of log is missing in h(x).

Consider the given functions are

h(x)=\log_2x

m(x)=\log_2(x+3)

The function m(x) can be written as

m(x)=h(x+3)           ...(1)

The translation is defined as

m(x)=h(x+a)+b           .... (2)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

a=3,b=0

Therefore, we have to translate each point of the graph of h(x) 3 units left to get the graph of m(x).

Hence, option (d) is correct.

3 0
3 years ago
Other questions:
  • 1. The table shows the distances, in meters, that each player in a game tossed a ball, and the total number of earned points eac
    6·1 answer
  • Find the slope of the line that is ​(a) parallel and ​(b) perpendicular to the line through the pair of points.​ (−2​,−7​) and ​
    13·1 answer
  • Could Anyone please take a look at this Math problem; I am not good at explaining my work, Thank you.
    8·1 answer
  • Michael invested a total of $14,000 in two certificates of deposit. One pays 5% interest,
    6·1 answer
  • Blood is a buffer solution. When carbon dioxide is absorbed into the bloodstream, it produces carbonic acid and lowers the pH. T
    7·1 answer
  • Are these two problems proportional or non-proportional? Why or why not? Explain your reasoning below.
    5·1 answer
  • Solve like this pls ————&gt;
    10·1 answer
  • Please help.<br> Is Algebra.
    15·2 answers
  • Is it me or are people wilden with inappropriate things today on brainly?
    14·2 answers
  • The equation y = mx + b is used to express the equation of a line. Which solution is a correct way to solve this equation for x
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!