Mathematics College

For the pair of supply-and-demand equations, where x represents the quantity demanded in units of 1000 and p is the unit price in dollars, find the equilibrium quantity and the equilibrium price.
p = −0.3x + 6 and p = 0.05x + 2.5
equilibrium quantity
units
equilibrium price $

Answers

Answer 1

9514 1404 393

Answer:

  (x, p) = (10, 3)

Step-by-step explanation:

Equating the expressions for p, we have ...

  -0.3x +6 = 0.05x +2.5

  3.5 = 0.35x . . . . . add 0.3x-2.5

  10 = x . . . . . . . . . . divide by 0.35

  p = -0.3(10) +6 = 3

The equilibrium quantity is 10 units.

The equilibrium price is $3.

Related Questions

If a half gallon of milk costs $1.24, what is the cost per pint?

Answers

$0.31 for each pint hope this helps

need help with this problem ​

Answers

Answer:

 h(x) =  -x² + 11 x + 2

Step-by-step explanation:

Explanation:-

Given that the functions are  

                                            f(x) = 2 x² - 5x -3

                                            g(x) = x² + 6x -1

               h(x)  = g(x) - f(x)

                      = x² + 6x -1 - (2 x² - 5x -3)

                     = - x² + 6 x +5x -1+3

                    = -x² + 11 x + 2

            h(x) =  -x² + 11 x + 2

Final answer:-

h(x) =  -x² + 11 x + 2

                             

I need help with this problem if anyone can help ASAP please help !

Answers

Answer:

42

Step-by-step explanation:

What is the volume of a cube with edge length 1/3 cm

Answers

Answer:

1/27 cm3

Step-by-step explanation:

(1/3)(1/3)(1/3)

1. Each spring, Genevieve helps her mom plant flowers. There are 24 rows of
flowers and she plants 18 flowers in each row. How many flowers does Genevieve
plant?

Answers

Answer:

Genevieve plants a total of 432 flowers.

Step-by-step explanation:

18 flowers go in every row so you have to multiply the number of rows (24) by the number of flowers in each row (18) to get the total of 432 flowers.

Solve for a

a² + 7a - 8 = 0

Answers

Answer:

a=-8

Step-by-step explanation:

The average cost of a bag of popcorn at the movie theater was $3.50 in 1995 and $4.75 in 2015 find the percentage change in the price of the bag of popcorn from 1995 to 2015 and classify as a percent increase or percent decrease

Answers

Answer:

500$ dollars

Step-by-step explanation:


You sell 300 shares of Dendreon Corp at $8.89. You purchased the stock at $42.87. How much money did you lose?
O $42.87
O $8.89
$2,667
O $10,194
$12,861

Answers

42.87 if you where to multiply 300 shares by $8.89 if would give you 2,667 and if you where to subtract $42.87 from 2,667 it would give you 2,624.13 and then subtract 2,667 from 2,624.14 it would give you 42.87 and that is your answer :)

Find the minimum value of
C = 6x + 7y

Answers

the minimum value of c is 46

y + 8 < -2. the inequality is... HELPP

Answers

Answer:

y<-10

Step-by-step explanation:

Answer:

y < -10

Step-by-step explanation:

y + 8 < -2

y < -2 -8

y < -10

Find the slope between the two points (-6, 3) and (12, 19)

Answers

Answer:

8/9

Step-by-step explanation:

(19-3)/(12-[-6])

16/18

8/9

Answer:

1/3

Step-by-step explanation:

!!!!15 EASY POINTS!!!!

What is 8x times x?

Answers

Answer:

8x²

Step-by-step explanation:

Whenever it's multiplication, you would count how many x's there are and raise the x to the power of the number of x's.

The multiplication of 8x and x is 8x^2.

When we have to do multiplication,

We have given 8x and x.

What is the meaning of multiplication?

Multiplication is defined as calculating the result of repeated additions of two numbers.

you would count how many x's there are and

Raise the x to the power of the number of x's.

and that is

[tex]=8\times x\times x[/tex]

There are two x therefore we have

[tex]=8x^2[/tex]

Therefore the multiplication of 8x and x is 8x^2.

To learn more about the multiplication visit:

https://brainly.com/question/10873737

Simplify 3(x + 3) – 2x + 4

Answers

Answer:

x + 13

Step-by-step explanation:

Distribute:

3x + 9 - 2x + 4

Evaluate:

3x - 2x = 1x

9 + 4 = 13

Answer:

x + 13

ANSWER FAST!

The table shows the linear relationship between the number of right tickets purchased and the total cost of admission plus ride tickets at a carnival. which function can be used to find y, The total cost of attending the carnival in purchasing x ride tickets?

A. Y= 25x +8
B. Y= 8x + 25
C. Y= 8x+ 0.25
D. Y= 0.25x + 8​

Answers

Answer:

c

Step-by-step explanation:

(2x −6) +4 (x −3)
find the sum

Answers

Answer:

6 x (x - 3)

Step-by-step explanation:

Answer:

6x - 18

Step-by-step explanation:

Distribute the 4

2x - 6 + 4x -12

Combine like terms

2x + 4x = 6x

-6 - 12 = -18

The other letter to the left is X btw PLS HELP

Answers

Answer:

probably D

Step-by-step explanation:

answer: D

34+26=60
180-60=120

17 Which is a true statement? Standard 8.3
A All rational numbers are whole numbers.
B All irrational numbers are integers.
C All negative integers are irrational numbers.
D All positive integers are rational numbers.
Whe

Answers

Answer:

D All positive integers are rational numbers.

Step-by-step explanation:

Integers are rational numbers

2x - 5y + 3z 5x + 9y - 2z

Answers

Answer:

3xz5+2x+4y−2z

Step-by-step explanation:

2x−5y+3z5x+9y−2z

=2x+−5y+3xz5+9y+−2z

Combine Like Terms:

=2x+−5y+3xz5+9y+−2z

=(3xz5)+(2x)+(−5y+9y)+(−2z)

=3xz5+2x+4y+−2z

BRAINLYEST TO WHO EVER IS RIGHT!!!
How many zero pairs can be created in the model below?
O- 0
O- 1
O- 2
O- 3

Answers

Answer: -x because its more than one zero

Step-by-step explanation:

I am confused on what I need to do. someone please help?

Answers

Answer:

x = 16

Step-by-step explanation:

Since ∆ABC is congruent to ∆DEC, their corresponding angles would be equal to each other.

<B is congruent to <E, therefore,

<B = <E

x + 15 = 6x - 65 (substitution)

Collect like terms

x - 6x = -15 - 65

-5x = -80

Divide both sides by -5

x = 16

Laura creates a rectangular prism with wooden cubes. Each cube has an edge length of 3/4 inch. she uses a total of 240 cubes. the cubes are stacked 8 cubes high. What are the possible measurements for the length and width of the rectangular prism in inches.
Enter each measurement on a separate line.

Answers

Answer:00.24

explanation:

Just add the decimal form and multiply the 240 with the decimal of the 3/4

Identify the shortest side of ABC

Answers

Answer:

AB

Step-by-step explanation:

angle C is 58 because 59+63=122 180-122=58

and drag and arrow to the opposite side of each angle and you have your answer

If a car travels x miles/hour for 3 hours, how far car travel after 6 hours?
a) x+3+3 miles
b) x+x miles
c) 9x miles
d) 2x miles
e) 6x+3x miles

Answers

Answer:

e will be the answer for sure of miles it happene d for the past hours he traveled in and how long

Enter an equality that matches the number line model. Use x as your variable.

Answers

Answer

x < - 3

Explanation

X is a number less than 3

Which of the points shown below are on the line given by the equation y = 4x?
Check all that appply.

Answers

Answer:

The answer would be (1,4)

Step-by-step explanation:

help please asap i will give you a heart if you do

Answers

Answer:

30

Step-by-step explanation:

2(6)=12

3(6)=18

12+18=30

Step-by-step explanation:

its 30 2(6)=12 3(6)=18

30

it takes 30 kids 6 hours to build a man sized Sand Castle. how many kids were there if the same game took only two-and-a-half hours ​

Answers

Answer:

There were 72 kids there.

Step-by-step explanation:

This question can be solved using proportions, by a rule of three.

The number of kids and time are inversely proportional, that is, if we increase the number of kids to build the castle, the time it takes will decrease. This means that to solve the rule of three, instead of applying cross multiplication, we apply line multiplication.

We have that:

30 kids - 6 hours

x kids - 2.5 hours.

Applying line multiplication

[tex]2.5x = 30*6[/tex]

[tex]x = \frac{180}{2.5}[/tex]

[tex]x = 72[/tex]

There were 72 kids there.

i need to know what x is

Answers

Answer:

X would most likely be 10

Step-by-step explanation:

Which statement is NOT true of the equation y = 0.5x?

a. The value of y is one-half times the value of x.
b. The equation represents an additive relationship.
c. The value of y is 4 when the value of x is 8.
d. The equation represents a multiplicative relationship.

Answers

Answer:

it would be C do to the fact that 0.5 x 8=4

Write an expression showing 5 less than the number .

Answers

Answer:

if the number is anything then I pick 10 so 5 because 10 - 5 = 5 I guess lol

Step-by-step explanation:

Answer:

k-5

Step-by-step explanation:

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