An artist plans to sell $300 of prints online each week. This month, she is within $22 of her goal.

Part A: Define a variable and write an absolute value equation to represent the scenario.

Part B: Solve the equation, showing all steps.

Part C: What are the minimum and maximum amounts that the artist received for her products?

Fluctuations in aggregate demand and​ short-run aggregate supply bring fluctuations in real GDP around potential​ GDP.

Short-Run Supply of Aggregates:

The ratio of the actual GDP supply to the price level under constant nominal wage rates, other resource prices, and potential GDP is known as the short-term total supply. A rise in the price level will enhance the supply of real GDP when the nominal wage rate and the prices of other variables remain constant. The upward sloping short-term aggregate supply curve (SAS).

The supply of real GDP will rise in the short run if the price level rises.

The SAS curve is steeply sloping. Firms can boost production when the price level rises without an increase in the pay rate.

Adjustments to Potential GDP:

The LAS and SAS curves all trend to the right as potential GDP rises.

The potential GDP will rise if the following scenarios materialize:

Full employment now entails more labour.

capital growth: Technological advancement has occurred.

Modifications to the Money Wage Rate:

Aggregate Demand decreases and drifts to the left in the short run.

The entire amount of goods and services that Canadians, businesses, governments, and foreigners want to buy is known as real GDP demand Y.

This amount is the total of net exports X-M, investment I, public spending G, and consumer spending C.

Therefore, Y=C+I+G+X-M

total demand curve The ratio of real GDP demand to price level is known as aggregate demand.

The AD curve's descending slope is caused by two factors:

Impact of Wealth:

An increase in price level will result in less actual wealth while all other factors remain constant (currency, stocks, etc.).

Real GDP is now less in demand.

Similar to how prices fall while other factors remain the same, real wealth, real GDP, and demand all increase.

Intertemporal substitution effect:

When all other factors remain constant, rising prices will cause the real worth of the dollar to decline and interest rates to rise.

People borrow less as interest rates go up, which lowers real GDP demand. Similar to this, a decline in price will raise the currency's real value and lower interest rates. People borrow more money and spend more when interest rates are lower, which boosts real GDP demand.

Aggregate demand:

When aggregate demand increases, curve AD shifts to the right.

When aggregate demand decreases, curve AD shifts to the left.

To learn more about Demand click here:

brainly.com/question/14456267

#SPJ4

Answer:

21/20

Step-by-step explanation:

One way to look at it:

Convert 1.05 to a percentage so it's easier to see it as fraction out of 100

fraction x 100 = %

1.05 x 100 = 105%

105% means 105/100, and reducing the fraction gives 21/20.

21/20 = 1.05

Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

To know more about equation here:

brainly.com/question/29292690

#SPJ11

The probability model for Eitan randomly selecting one volcano in the world on which to conduct an extensive study is approximately 36.1% for cinder cone volcanoes, 50.0% for shield volcanoes, and 13.9% for stratovolcanoes based on the observed frequencies.

To create a probability model based on the observed frequencies, we need to calculate the probabilities of selecting each type of volcano. This can be done by dividing the frequency of each type of volcano by the total number of volcanoes observed.

Let's calculate the probabilities for each type of volcano:

Cinder cone volcanoes:

Probability = Frequency of cinder cone volcanoes / Total number of volcanoes observed

          = 13 / (13 + 18 + 6)

          ≈ 0.361 or 36.1%

Shield volcanoes:

Probability = Frequency of shield volcanoes / Total number of volcanoes observed

          = 18 / (13 + 18 + 6)

          ≈ 0.500 or 50.0%

Stratovolcanoes:

Probability = Frequency of stratovolcanoes / Total number of volcanoes observed

          = 6 / (13 + 18 + 6)

          ≈ 0.139 or 13.9%

Therefore, the probability model for Eitan randomly selecting one volcano in the world on which to conduct an extensive study is approximately:

- Cinder cone volcanoes: 36.1%

- Shield volcanoes: 50.0%

- Stratovolcanoes: 13.9%

To know more about probability model refer here:

https://brainly.com/question/31197772#

#SPJ11

(a) tangent line to the graph of f(x) = x^3 at the point (4,2).

(b) equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12).

(a) To find the equation of the tangent line to the graph of f(x) = x^3 at the point (4,2), we need to find the slope of the tangent line at that point. We can do this by taking the derivative of f(x) with respect to x and evaluating it at x = 4. The derivative of f(x) = x^3 is f'(x) = 3x^2. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Once we have the slope, we can use the point-slope form of a linear equation to write the equation of the tangent line.

(b) Similarly, to find the equation of the tangent line to the graph of f(x) = x^2 - x at the point (4,12), we differentiate f(x) to find the derivative f'(x). The derivative of f(x) = x^2 - x is f'(x) = 2x - 1. Evaluating f'(x) at x = 4 gives us the slope of the tangent line. Using the point-slope form, we can write the equation of the tangent line.

In both cases, the equations of the tangent lines will be in the form y = mx + b, where m is the slope and b is the y-intercept.

Learn more about line tangent: brainly.com/question/30162650

#SPJ11

Answer:

7 Children and 18 Adults.

Step-by-step explanation:

Sorry im late but thats the answer ^

There was 7 children attendee and 17 adult attendee.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

A restaurant catered an event for 25 people.

A child’s dinner cost $5 and an adult’s dinner cost $22.

The party cost $431.

let the number of children attendee be x and adult attendee be y.

So, x+ y = 25..............(1)

and, 5x + 22y = 431.......(2)

Solving the Equation (1) and (2) we get

5(25 - y) + 22y= 431

125 - 5y + 22y= 431

17y = 431-125

17y = 306

y = 18

and, x= 25-18 = 7

Hence, there was 7 children attendee and 17 adult attendee.

Learn more about Equation here:

https://brainly.com/question/29657983

#SPJ6

The fixing of east and west Germany's currencies at a 1:1 ratio to each other during the German unification in 1990 is an example of a fixed exchange rate policy

We know

The fixed exchange rate policy is the rule to ties the country's official currency exchange rate to another country's currency which set by the central bank or government.

Here,

The fixing of east and west Germany's currencies at a 1:1 ratio to each other during the German unification in 1990. The fixed exchange policy is used here

Hence, The fixing of east and west Germany's currencies at a 1:1 ratio to each other during the German unification in 1990 is an example of a fixed exchange rate policy

Learn more about fixed exchange rate here

brainly.com/question/14160520

#SPJ4

The angle between vectors a and b is 61.7 degrees. For the vectors c and d, the x component of c is 8.28 m, the y component of c is 0, the x component of d is -8.28 m, and the y component of d is 0.

To find the angle between vectors a and b, we can use the dot product formula: cos(theta) = (a_x * b_x + a_y * b_y) / (|a| * |b|). Plugging in the given values, we get cos(theta) = (6.55 * 2.43 + 1.93 * 7.78) / (√(6.55^2 + 1.93^2) * √(2.43^2 + 7.78^2)). Calculating this expression gives us cos(theta) ≈ 0.808, and taking the inverse cosine, we find theta ≈ 61.7 degrees.

For vectors c and d, we know that their magnitude is 8.28 m and they are perpendicular to vector a. Since vector c has a positive x component, it means its y component is 0. Similarly, vector d has a negative x component, so its y component is also 0.

Therefore, the x component of c is 8.28 m, the y component of c is 0, the x component of d is -8.28 m, and the y component of d is 0.

Learn more about vectors here:

https://brainly.com/question/24256726

#SPJ11

Answer:

Step-by-step explanation:

it would be number 4 please mark brainliest

Answer:

see below:

Step-by-step explanation:

the median will become a larger, different number. The mean will also become a larger number, since it will still be dividing by the same amount of numbers in the equation, only the quantity will become larger. Same with standard deviation. The IQR will change, because the amount of the two numbers you'll be subtracting will end up greater than before.

(this is just what mine said, i hope this helped at least a little bit!! Sorry if our websites are different, have a nice day!) :)

Answer:

The Y intercept is (0,7)

Step-by-step explanation:

If it is a y intercept, there will be a number in the y coordinate. For example, (x,y) if the point said (7,0) that would be the x intercept. Because it it (0,7) and in the y place that makes it a y intercept. I hope this helped :)

The equation 5(x + 1) - x = 3(x - 1) + 7 has one solution which is x = -1.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

The given equation is,

5(x + 1) - x = 3(x - 1) + 7

Using the distributive property,

5(x + 1) = 5x + 5 and 3(x - 1) = 3x - 3

Substituting,

5x + 5 - x = 3x - 3 + 7

(5x - x) + 5 = 3x + (-3 + 7)

4x + 5 = 3x + 4

4x - 3x = 4 - 5

x = -1

Hence the solution of the given equation is -1.

Learn more about Solving Equations here :

https://brainly.com/question/29506679

#SPJ1

Answer:

no

Step-by-step explanation:

If the lines have identical slopes then they are parallel and do not intersect.

Answer:

0.45

Step-by-step explanation:

You divided 2.25 by 5

By using the property of exponential function, the results obtained are

Base of the function is 5.

Initial value of the function is close to zero.

What are exponent?

Exponent tells us how many times a number is multiplied by itself.

For example : In \(2^4 = 2\times 2\times 2\times 2\)

Here, 2 is multiplied by itself 4 times.

If \(a^m = a \times a\times a....\times a\) (m times), a is the base and m is the index.

Here,

\(y = 5^w\) is an exponential function.

The base of the function is 5.

As \(x \rightarrow -\infty\), the function tends to 0

So the initial value of the function is close to zero.

To learn more about exponent, refer to the link:

https://brainly.com/question/11975096

#SPJ1

Considering the volumes of the ball and of the box, it is found that the balls will not fit into the box.

The ball is spherical, with a diameter of 8 inches = radius of 4 inches.

The volume of an sphere of radius r is given by:

V = 4/3πr³.

Hence the volume of each ball is given by:

V = 4/3π x 4³ = 267.4 cm³.

The volume of the three balls is:

V = 3 x 267.4 cm³ = 802.2 cm³.

The box is a triangular prism, hence the volume is given by the multiplication of the base area by the height, as follows:

V = Ab x h.

The height of the box is of 9 cm, however we have to find the base area.

From the bisection, at the right side of the triangle, we have that half the side of the equilateral triangle is of 7.8 cm, hence the side length is of:

s = 2 x 7.8 = 15.6 cm.

Hence, bisecting the base triangle to find the height, it will have:

Then the height can be found as follows:

tan(30º) = h/7.8 (tangent = opposite side/adjacent side)

h = 7.8 x tan(30º)

h = 4.5 cm.

The area of a triangle is half the multiplication of the side length and the height, hence the base area is:

A = 0.5 x 15.6 x 4.5 = 35.1 cm².

Then the volume of the box is:

V = 35.1 x 9 = 315.9 cm³.

The volume of the three balls is of 802.2 cm³ > 315.9 cm³, hence the three balls will not fit into the box.

The box is missing and is given by the image at the end of the answer.

More can be learned about volumes at https://brainly.com/question/463363

#SPJ1

Answer:

an inscribed​, sides​, ​4.5,cm ​, greater​, will

Binomial Distribution. Therefore, the correct option is option B.

The random variable x which is the number of females that have depression follows binomial distribution because it fits the criteria for a binomial distribution. It is a discrete random variable which has only two outcomes (either female or not female).

Moreover, the probability of success (i.e. being female) is constant (0.30) and the trials (number of depression patients) are fixed (17). So, x follows a binomial distribution.

Therefore, the correct option is option B.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ4

Answer:

63 = 1 x 63, 3 x 21, or 7 x 9. Factors of 63: 1, 3, 7, 9, 21, 63. Prime factorization: 63 = 3 x 3 x 7, which can also be written 63 = 3² x 7.

Step-by-step explanation:

hope this is right

Answer:

63= 3*3*7 (3^2*7)

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:yes

Step-by-step explanation:

idk

Answer:a. (5 * 9) * (10^3 * 10^7)

45 * 10^3+7

45 * 10^10 = 4.5 * 10^11

b. 7 * 10^5/2 * 10^2

7 * 10^3/2

7 * 1000/2

7 * 500 = 3500 or 3.5 * 10^3

Step-by-step explanation:

The probability that a randomly selected consumer is middle-income and purchases two or more bottles of perfume annually is 0.06 or 6%.

To find the probability that a randomly selected consumer is middle-income and purchases two or more bottles of perfume annually, we need to know the proportion of middle-income consumers who purchase two or more bottles of perfume annually.

Assuming that we have this information, let's say that the proportion of middle-income consumers who purchase two or more bottles of perfume annually is p. Then, the probability that a randomly selected consumer is middle-income and purchases two or more bottles of perfume annually can be calculated using the following formula

P(middle-income and purchases two or more bottles) = P(middle-income) * P(purchases two or more bottles | middle-income)

Let's say that the proportions of low, medium, and high-income consumers are 0.4, 0.3, and 0.3, respectively. Also, let's assume that the proportion of middle-income consumers who purchase two or more bottles of perfume annually is 0.2.

Then, the probability that a randomly selected consumer is middle-income and purchases two or more bottles of perfume annually is

P(middle-income and purchases two or more bottles) = 0.3 * 0.2 = 0.06

Therefore, the probability is 0.06 or 6%.

To know more about Probability:

https://brainly.com/question/11234923

#SPJ4

If one angle in an isosceles triangle is 90 degrees then the measure of each angle of an isosceles triangle will be 45 degrees

What is an isosceles triangle ?

A triangle with two equal sides is said to be isosceles. Also equal are the two angles that face the two equal sides. In other terms, an isosceles triangle is a triangle with two sides that have the same length.

If the sides AB and AC of a triangle ABC are equal, then the triangle ABC is an isosceles triangle with B = C. "If the two sides of a triangle are congruent, then the angle opposite to them is likewise congruent," states the theorem that characterizes the isosceles triangle.

Since this triangle's two sides are equal, the base of the triangle is the side that is not equal.

As we know that in an isosceles triangle set of two angles are equal

And

we also know that sum of all the angles of a triangle is 180 degrees

So, According to the question

90 degrees + other angles =180 degrees

other angles = 90 degrees

one angle = 90/2

one angle = 45 degree  

Learn more about Isosceles triangle from the link below

brainly.com/question/2456591

#SPJ4

Answer:

8:19

Step-by-step explanation:

Ball B:  diameter in mm = 9.5 * 10 = 95 mm

Ratio of Ball A to Ball B = 40 : 95

=  8:19 answer

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

The rate of change of the distance below the sea level with respect to time is 11 feet per second.

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

The table has a linear relationship.

We can choose two data from the table.

At time = 15,

Distance below the sea level = 545 feet.

At time = 27,

Distance between the sea level = 677

Now,

The rate of change of the distance below the sea level with respect to time.

Slope:

= (677 - 545) / (27 - 15)

= 132 / 12

= 11 feet per second

Thus,

The rate of change of the distance below the sea level with respect to time is 11 feet per second.

Learn more about speed here:

https://brainly.com/question/7359669

#SPJ1

The rate of change of distance for the submarine is given by 11 feet/sec.

In order to find the slope between two points (x₁, y₁) and (x₂, y₂), take the ratio of the difference of the respective coordinates as (y₂ - y₁)/(x₂ - x₁).

Given that,

The table for distance travelled versus time taken for a submarine.

In order to find the slope, take two values of distance and time from the given table as  380 feet at t = 0 and 545 feet at t = 15.

Now, the slope can be found as,

slope = (545 - 380)/(15 - 0)

         = 165/15

         = 11

Hence, the rate of change of distance below sea level with respect to time is given as 11 feet/sec.

To know more about slope of straight line click on,

https://brainly.com/question/17028638

#SPJ2

Determine the height of television by using the pythagoras theorem.

So height of the television is 10.75 inch.

The upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

To determine the upper bound of the 95% confidence interval for the average age in the U.S., we can use the sample data from the survey. The sample size is 1072 people, randomly selected from the U.S. population, with a minimum age of 12. By calculating the average age of the respondents, we can estimate the average age of the entire U.S. population.

Using the given information that the average age of the respondents is 43.56 years, and assuming that the sample is representative of the population, we can calculate the standard error. The standard error measures the variability of the sample mean and indicates how much the sample mean might deviate from the population mean.

Using statistical methods, we can calculate the standard error and construct a confidence interval around the sample mean. The upper bound of the 95% confidence interval represents the highest plausible value for the population average age based on the sample data.

Therefore, based on the provided information and calculations, the upper bound of the 95% confidence interval for the average age in the U.S. is 48.29 years.

Learn more about Confidence intervals

brainly.com/question/32546207

#SPJ11

Answer:

(-infinity, 2) U [-3]

Step-by-step explanation:

Step 1: we want to solve both equations for x. To do so, get the x variable by itself in both equations.

1.)  3x+4 = 5x+10

    -6 = 2x  (subtract 10 from both sides and 3x from both sides)

    -3 = x     (divide 2 from both sides)

2.) -5x + 7 > -3

     -5x > -10  (subtract 7 from both sides)

       x < 2      

(divide both sides by -5, notice that dividing by a negative by a negative number flips the direction on > to < .)

Step 2: apply interval notation to these answers. Since x DOES equal -3 in equation one, it'll be in a bracket. On the contrary, since x has to be LESS THAN 2, it will have a parentheses.

So, our answer is: (-infinity, 2) U [-3]

*note the parentheses around infinity because something cannot equal infinity, it's not just one number*

Step-by-step explanation:

a) The circumference of a circle is 360 degrees. so:

7x+15+8x+6x+30=360

21x+45=315

21x=135

x=15

b) This means 7(15)+15=120, 8(15)=120, and 6(15)+30=120. Thus, by the inscribed angle theorem, all the angles measure 60 degrees, and the triangle is thus equilateral and isosceles.