find out price elasticity of supply when 20% change in price of the commodity results change in supply 40%.​

Answer:

y= ¼x

Step-by-step explanation:

Slope-intercept form

y= mx +c, where m is the slope and c is the y-intercept.

\(\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }\)

Slope

\( = \frac{5 - 3}{20 - 12} \)

\( = \frac{2}{8} \)

\( = \frac{1}{4} \)

Substitute the value of the slope into the equation:

y= ¼x +c

To find the value of c, substitute a pair of coordinates.

When x= 12, y= 3,

\(3 = \frac{1}{4} (12) + c\)

3= 3 +c

c= 3 -3

c= 0

Thus, the equation of the line is y= ¼x.

Answer:

All angles and opposite angle are equal;opposite sides are parallel.

Step-by-step explanation:

Answer:

they both have 4 sides and they both have paralell sides.

Step-by-step explanation:

The slope of this graph​ is equal to 0.375 or 3/8.

In Mathematics, the slope of any straight line can be determined by using this mathematical equation;

Slope (m) = (Change in y-axis, Δy)/(Change in x-axis, Δx)

Slope (m) = rise/run

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

Substituting the given data points into the slope formula, we have the following;

Slope, m = (35 - 20)/(40 - 0)

Slope, m = 15/40

Slope, m = 0.375 or 3/8.

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The slope in the equation p = 52 + 0.04w represents the rate of change in the water bill payment for each additional unit of water consumed.

Specifically, the slope of 0.04 indicates that for every increase of one unit in the number of water units (w), the water bill payment (p) will increase by 0.04 dollars.

This means that the slope represents the incremental cost of each additional unit of water.

In practical terms, the slope of 0.04 implies that for every additional unit of water consumed, the water bill will increase by $0.04.

This indicates a constant rate of increase in the water bill for each additional unit of water used.

It's important to note that the slope remains constant throughout the equation, suggesting a linear relationship between the amount of water consumed and the corresponding bill payment.

Therefore, The slope, in this case, is the coefficient of the variable w, which is 0.04.

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The probable question may be:

What is the meaning of the slope in the equation p = 52 + 0.04w, which models the relationship between the water bill payment p in dollars and the number of units of water w ?

Answer: 1/16

Step-by-step explanation:

4^4*4^(-7)*4

= 4^(-3)*4

=4^(-2)

= 1/16

Answer:

For an overall profit, we need at least 97 people to go mushroom hunting.

Any number of people that is more than the socially optimal number should go mushroom hunting on any given day.

Step-by-step explanation:

The socially optimal number of people that will go mushroom hunting is the number where amount spent to go mushroom hunting equally balances the amount obtained by selling the mushrooms obtained.

If x people go mushroom hunting in a day, the total cost of hunting for that day = 200x

The amount of mushroom obtained is given as

M = (100x - x²) in pounds

The selling price of 1 pound = $60

The cost of M pounds = 60M = 60(100x - x²)

= (6000x - 60x²)

At socially optimal number,

200x = 6000x - 60x²

60x² - 6000x + 200x = 0

60x² - 5800x = 0

x(60x - 5800)

x = 0 or (60x - 5800) = 0

x = 0 or x = (5800/60) = 96.67

Socially optimal number of people = 0 or 96.67

For realistic purposes, we take the socially optimal number of people that went mushroom hunting as 96.67

Any number above this number will result in an overall profit, and any number below it results in an overall loss.

So, for an overall profit, we need at least 97 people to go mushroom hunting.

Hope this Helps!!

Answer:

48 people

Step-by-step explanation:

When allocating resources to a particular task it is important to assign optimal units of resources.

In this scenario if the people hunting mushrooms are too many they will not make profit. But an optimal number will guarantee everyone makes positive profit.

Optimal = (M÷x)Px - 200= 0

Optimal= {(100x -x^2) ÷ x} * 60 = 200

Optimal = 6000 - 60x = 200

x= 96.666~ 97 people

However to maximise profit MTB = MTC

Socially Optimal quantity = 60(100x - x^2) -200

∂(Socially Optimal amount) ÷ ∂ x= 6000 - 120x - 200

x = 48.33~ 48 people

So 48 more people go mushroom hunting than is socially optimal

Answer:

he has 1,208 mangoes left

1) Let's simplify the following product:

Note that, we can simplify this using the exponent's properties.

2) So we can keep the base and add the exponents:

Note that since the denominators were different, we had to resort to the LCM of 2 and 3 and simplify it to one fraction.

3) Hence, the answer is:

Answer:

True

Step-by-step explanation:

Hope this helped :)

Answer:ITS FALSE!!

Step-by-step explanation:

Answer:

$180

Step-by-step explanation:

If the perimeter is 30 yards and each yard costs $6 you times 30 and 6 and you get $180

Answer:

D

Step-by-step explanation:

in order smallest to largest

2, 4, 6, 8, 8, 10, 12

the figure in the middle is 8, therefore the median is 8

hope this helps :)

Answer:

100, 25, 50

Step-by-step explanation:

\(700: \frac{700}{700} \times 100=100 \\ \\ 175: \frac{175}{700} \times 100=25 \\ \\ 350: \frac{350}{700} \times 100=50\)

Answer:

Step-by-step explanation:

The first step in evaluating the expression is to perform the calculations inside the parentheses. This involves subtracting 3.6 from 7.4.

Step 1: Evaluate the expression inside the parentheses.

7.4 - 3.6 = 3.8

After evaluating the expression inside the parentheses, the expression becomes:

12 ÷ 3.8 + 8 - 2

Step 2: Perform the division.

12 ÷ 3.8 = 3.158

After performing the division, the expression becomes:

3.158 + 8 - 2

Step 3: Perform the addition and subtraction from left to right.

3.158 + 8 = 11.158

11.158 - 2 = 9.158

Therefore, the value of the given expression is approximately 9.158.

The first step is:

Work/explanation:

The expression is:

12 ÷ (7.4 − 3.6) + 8 − 2

Let's recall the order of operations first:

So we evaluate

\(\sf{12\div(7.4-3.6)+8-2}\)

\(\sf{12\div3.8+8-2}\)

Next, division:

\(\sf{3.158+8-2}\)

Next, addition & subtraction:

\(\sf{9.158}\)

Answer:

44 options

Step-by-step explanation:

In order to solve this problem you would simply need to multiply the options specifics together. In this scenario, these are the color and style. Therefore since the individual can choose from 11 colors and 4 styles you simply multiply 11 by 4. This is because every single color chosen has 4 styles to choose from,  meaning that all 4 styles also have 11 colors to choose from and vice versa.

11 * 4 = 44

Therefore, we see that an individual looking to buy a car has a total of 44 options to choose from.

Answer:

x = 4

Step-by-step explanation:

2(4x + 3) = 10x - 2

2 × 4x + 2 × 3 = 10x - 2

8x + 6 = 10x - 2

8x - 10x = - 6 - 2

- 2x = - 8

2x = 8

x = 8/2

x = 4

-TheUnknownScientist

Answer:

x= 4

Step-by-step explanation:

we open brackets first

2(4x + 3) = 10x - 2

8x+6=10x-2

transpose

6+2= 10x-8x

8= 2x

x= 8/2

x= 4

Answer:

i justr f arted really loud LOL

Step-by-step explanation:

Answer:

the choice below, with slope= app. 1.33!

Step-by-step explanation:

The expressions that shows a correct way to set up the slope formula for the line that passes through the points (3,6) and (-7,-4) is (-4-6) / (-7 - 3) (option c).

To find the slope of a line that passes through two points, we can use the slope formula, which is:

slope = (change in y) / (change in x)

This formula tells us how much the y-coordinate changes (rise) for every one unit of change in the x-coordinate (run).

Now let's use the given points (3,6) and (-7,-4) to set up the slope formula. We'll call the first point (x₁, y₁) and the second point (x₂, y₂). Then we can plug these values into the slope formula:

slope = (y₂ - y₁) / (x₂ - x₁)

Plugging in the coordinates of the two given points, we get:

slope = (-4 - 6) / (-7 - 3)

We simplify this expression to get:

slope = (-10) / (-10)

Which simplifies further to:

slope = 1

So the correct way to set up the slope formula for the line that passes through the points (3,6) and (-7,-4) is:

slope = (y₂ - y₁) / (x₂ - x₁)

= (-4 - 6) / (-7 - 3)

= 1

Therefore, the slope of the line passing through these two points is 1.

Hence the correct option is (c).

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Answer:

16/15

Step-by-step explanation:

The LCM of 5 and 3 is 15

4/5 + 1/3 = 12 / 15 + 4 / 15 = 16 / 15

Answer:1.13333333333 also known as 1.13 repeat

Step-by-step explanation:

The weight on the inflation gap has increased from 0.5 to 0.75. The real interest rate is 16.86% and Nominal interest rate is 20%

a. In the base scenario, the real interest rate will be 20%, and the nominal interest rate will be 20%.

b. In scenario B, inflation rate will be higher (4%) compared to the base scenario (3.14%).

Output gap is 0% in both the scenarios, however, in the base scenario inflation gap is 0% (3.14 - 3.14) and in scenario B, inflation gap is 0.86% (4 - 3.14).

Now, let's calculate the real interest rate.

Real interest rate in base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario B = 20% - 3.14% + 1.5 + 0.5 (4-3.14) + 0.5 (0-0/0)

= 19.22%.

The real interest rate has moved in the direction to move inflation rate towards its target.

c. In scenario C, the output gap will be 20% compared to 0% in the base scenario.

Inflation gap is 0% in both the scenarios

Inflation rate is 3.14% and in scenario C, inflation rate is 2%.

Let's calculate the real interest rate. Real interest rate in the base scenario = 20% - 3.14%

= 16.86%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.5 (3.14 - 3.14) + 0.5 (20-0/20)

= 20.15%.

Real interest rate in scenario C = 20% - 2% + 1.5 + 0.75 (3.14-3.14) + 0.25 (20-0/20) = 18.78%.

The new policy rule has changed the weight of the output gap in the Taylor Rule from 0.5 to 0.25.

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Answer:

The answer is 275 students.

Step-by-step explanation:

In 75 students, 33 students attend.

So the ratio is 33/75.

so multiply with 625.

625 x 33/75 = 275

Answer:

Carbon moves from plants to animals. Through food chains, the carbon that is in plants moves to the animals that eat them. ... Animals and plants need to get rid of carbon dioxide gas through a process called respiration. Carbon moves from fossil fuels to the atmosphere when fuels are burned.

Step-by-step explanation:

Answer:

Photosynthesis

Step-by-step explanation:

The value of x in the rectangle is 19/8

The complete question is added as an attachment

From the question, we have the following parameters that can be used in our computation:

The shape is a rectangle

Opposite sides of a rectangle are equal

So, we have

BD = AE

Using the above as a guide, we have the following equation

8x - 6 = 13

So, we have

8x = 19

Solving for x, we have

x = 19/8

More details are needed to calculate the measure of angle EBA

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Answer: 8.16e-10

I think idrk          

Answer:

\( \frac{10\% +20\% + 70\% }{250 \: million} \\ \\ \\ \frac{ \frac{10}{100} + \frac{20}{100} + \frac{70}{100} }{250 \times 10 ^{6} } = \frac{ \frac{100}{100} }{250 \times {10}^{6} } \\ \\ \frac{1}{250 \times {10}^{6} } = 4 \times {10}^{ - 9} \)

I hope I helped you^_^

The numbers matched with its divisibility numbers is

for 60 the divisibility numbers are 2,3,5,10 .

for 48 the divisibility numbers are 2,3    and

for 81 the divisibility numbers are 3,9 .

In the question ,

three numbers are given as 60 , 48 and 81

we need to match them with their , respective divisibility numbers that are given in the option  

For the first number 60 ,

we see that 60 is divisible by 2 , 3 , 5 and 10 because

30*2 \(=\) 60  , 3*20 \(=\) 60 , 5*12 \(=\) 60 and 10*6 \(=\)60 ,

So, for 60 the divisibility numbers are 2,3,5,10

that is option(c)

For the second number 48 ,

we see that 48 is divisible by 2 and 3  because

2*24 \(=\) 48 , 3*16 \(=\) 48 ,

So , for 48 the divisibility numbers are 2,3

that is option(b)

For the third number 81

we see that 81 is divisible by 3 and 9  because

3*27 \(=\) 81 , 9*9 \(=\) 81

So , for 81 the divisibility numbers are 3 an 9

that is option(a)

Therefore , The numbers matched with its divisibility numbers is

for 60 the divisibility numbers are 2,3,5,10 .

for 48 the divisibility numbers are 2,3    and

for 81 the divisibility numbers are 3,9 .

The given question is incomplete , the complete question is

Match the numbers 60 , 48 and 81  with its divisibility numbers

(a) 3,9

(b) 2,3

(c) 2,3,5,10

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Answer:

The radius of the circle with 4 inch diameter is 2 inches

Step-by-step explanation:

This is the formula here:

d = 2r

The radius is solved here:

r = \(\frac{d}{2}\) = \(\frac{4}{2}\) = 2 inches

Answer:

A + C = 300

5A + 3C = 700

Step-by-step explanation:

We can let A represent the total number of adult tickets and C represent the total number of children tickets.

# of adult tickets + # of children tickets = total number of tickets (300)

We multiply the total number of adult tickets sold by 5 to find the total revenue earned from adult tickets.

Similarly, we multiply the total number of children tickets sold by 3 to find the total revenue earned from children tickets.

Revenue from adult tickets + revenue from children tickets = total revenue ($700).

Answer:

D(t) = 50 -2t

At 25 seconds, the dog caught up with the cat

Step-by-step explanation:

At initial time t0

Distance = 50 ft

The dog is running 12 feet per second and the cat is running 10 feet per second.

So for each each time in seconds

Dog covers 12 feet while cat extends by 10 ft .

The distance between them at any given time

D(t)= 50 +10t -12t

D(t) = 50 -2t

The time it will take the dig to get to the cat is what D= 0

D(t) = 50 -2t

0= 50- 2t

2t= 50

t= 25

So at 25 seconds, the dog caught up with the cat

The domain of the square root function is x greater-than-or-equal-to 0, since the function is defined for all non-negative x-values or x-values greater than or equal to zero.

The domain of the square root function graphed below can be determined by looking at the x-values of the points on the graph.

From the given information, we can see that the curve starts at (0, -1) and goes through (1, -2) and (4, -3).

The x-values of these points are 0, 1, and 4.

Since the square root function is defined for any non-negative x-values or x-values more than or equal to zero, its domain is x greater-than-or-equal-to 0.

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No a polygon only has 3 sides and 3 angles.

The number of different committees that can be formed is 495

From the question, we have the following parameters that can be used in our computation:

People = 12

Committee = 4

These can be represented as

n = 12 and r = 4

The number of different committees that can be formed is

Number = nCr

So, we have

Number = 12C4

Evaluate

Number = 495

Hence, the committee are 495

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