A school needs to buy new notebook and desktop computers for its computer lab. The notebook computers cost $275 each, and the desktop computers cost $150 each. How much would it cost to buy 14 notebooks and 16 desktop computers? How much would it cost to buy n n notebooks and d d desktop computers?

Answer:

\(-n+1\)

Step-by-step explanation:

\((n+2)-(2n+1)\)

\(n+2-2n-1\)

\(-n+1\) which could also be written as \(1-n\)

Triangles

Looking at the image, It is safe to say there are two similar triangles having similar base and sides there.

Triangle BAC has the same base as Triangle DAC

Therefore, the vertices of the angle B is equivalent to the vertice of angle D

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Any 3 of those entries are equal to 0, the determinant will be 0, meaning the matrix is non-invertible.

The minimal number such that any 3-by-3 matrix with of its entries equal to zero is non-invertible is 3. This can be calculated by finding the determinant of the matrix. The determinant is the sum of the products of the entries in the matrix, each multiplied by its corresponding minor. If a 3-by-3 matrix has 3 of its entries equal to zero, the determinant will be equal to 0, which means the matrix is non-invertible. To calculate the determinant of a 3-by-3 matrix, use the formula.

Where a, b, c, d, e, f, g, h, i are the entries of the matrix. If any 3 of those entries are equal to 0, the any 3 of those entries are equal to 0, the determinant will be 0, meaning the matrix is non-invertible determinate will be 0, meaning the matrix is non-invertible.

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As we have proved that the line created works exclusively with the three points by justifying how the x-value and y-value fit into the equation for the line.

Let's start by defining what a linear function is. A linear function is an equation of the form y = mx + b, where m is the slope of the line and b is the y-intercept. The slope represents the rate of change of the line, and the y-intercept represents the value of y when x is equal to zero. To create a linear function, we need two points on the line.

Now, let's create another linear function using points B and C:

slope (m) = (y₂ - y₁) / (x₂ - x₁) = (6 - 4) / (5 - 3) = 1

y-intercept (b) = y - mx = 4 - 1 * 3 = 1

Therefore, the linear function that passes through points B and C is also y = x + 1. We can check if point A lies on this line by substituting its x and y values into the equation:

2 = 1 + 1

This is true, so point A lies on the line created by points B and C. Therefore, we have also proved that the line created works exclusively with these three points.

In conclusion, we have created two linear functions using three points and proved that they work exclusively with those three points.

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a)The probability that X is less than 94 is 0.1587.

b) The probability that X is between 94 and 94.5 is 0.1325.

To solve these problems, we will use the properties of the normal distribution and the Z-score.

(a) Probability that X is less than 94 (P(X < 94)):

To find this probability, we need to calculate the Z-score and then use the Z-table or a calculator to find the corresponding probability.

The Z-score formula is:

Z = (X - μ) / σ

Where:

X = the value we are interested in (94)

μ = mean of the distribution (104)

σ = standard deviation of the distribution (10)

Calculating the Z-score:

Z = (94 - 104) / 10

Z = -10 / 10

Z = -1

Now, using the Z-table or a calculator, we find the probability corresponding to a Z-score of -1:

P(Z < -1) = 0.1587

Therefore, the probability is 0.1587.

(b) Probability that X is between 94 and 94.5 (P(94 < X < 94.5)):

To find this probability, we will calculate the Z-scores for both values and then find the difference between their probabilities.

Z1 = (94 - 104) / 10 = -1

Z2 = (94.5 - 104) / 10 = -0.55

Using the Z-table or a calculator, we find the probabilities corresponding to these Z-scores:

P(Z < -1) = 0.1587

P(Z < -0.55) = 0.2912

Now, we subtract the two probabilities to find the desired probability:

P(94 < X < 94.5) = P(Z < -0.55) - P(Z < -1)

P(94 < X < 94.5) = 0.2912 - 0.1587

P(94 < X < 94.5) = 0.1325

Therefore, the probability is 0.1325.

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\(~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{5}~,~\stackrel{y_1}{5})\qquad B(\stackrel{x_2}{2}~,~\stackrel{y_2}{4}) ~\hfill AB=\sqrt{[ 2- 5]^2 + [ 4- 5]^2} \\\\\\ AB=\sqrt{(-3)^2+(-1)^2}\implies \boxed{AB=\sqrt{10}} \\\\[-0.35em] ~\dotfill\\\\ B(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad C(\stackrel{x_2}{4}~,~\stackrel{y_2}{1}) ~\hfill BC=\sqrt{[ 4- 2]^2 + [ 1- 4]^2}\)

\(BC=\sqrt{2^2+(-3)^2}\implies \boxed{BC=\sqrt{13}} \\\\[-0.35em] ~\dotfill\\\\ C(\stackrel{x_1}{4}~,~\stackrel{y_1}{1})\qquad D(\stackrel{x_2}{6}~,~\stackrel{y_2}{1}) ~\hfill CD=\sqrt{[ 6- 4]^2 + [ 1- 1]^2} \\\\\\ CD=\sqrt{2^2+0^2}\implies \boxed{CD=2} \\\\[-0.35em] ~\dotfill\\\\ D(\stackrel{x_1}{6}~,~\stackrel{y_1}{1})\qquad A(\stackrel{x_2}{5}~,~\stackrel{y_2}{5}) ~\hfill DA=\sqrt{[ 5- 6]^2 + [ 5- 1]^2}\)

\(DA=\sqrt{(-1)^2+4^2}\implies \boxed{DA=\sqrt{17}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{\Large Perimeter}}{\sqrt{10}~~ + ~~\sqrt{13}~~ + ~~2~~ + ~~\sqrt{17}}~~ \approx ~~ 12.89\)

All points in Quadrant IV have a positive x-coordinate and a negative y-coordinate.

The fourth quadrant, indicated as Quadrant IV, is in the bottom right quadrant. The x-axis in this quadrant has positive values, whereas the y-axis has negative numbers.

A two-dimensional Cartesian system's axes split the plane into four infinite areas called quadrants, each of which is limited by two half-axes. These are frequently numbered from first to fourth.

A quarter of a circle; a 90° arc. the region enclosed by an arc and two radii are drawn one to each extreme. As a mechanical component, anything is shaped like a quarter of a circle.

All Quadrant I points have two positive coordinates.

Quadrant II points all have a negative x-coordinate and a positive y-coordinate.

All Quadrant III locations have two negative coordinates.

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By analyzing the final simplex tableau, we can establish whether the LP is unbounded, has multiple optimal solutions, or has a unique optimal solution.

(a) Solving the LP graphically:

First, let's graph the constraints:

5x1 + 3x2 ≤ 12

4x1 + 2x2 ≤ 10

x1 + x2 ≤ 4

x1, x2 ≥ 0

Plotting these constraints will create a feasible region bounded by the lines and the non-negativity constraints.

Next, we need to identify the corner points of the feasible region. To do this, we can solve each pair of intersecting lines to find the intersection points.

Once we have the corner points, we can evaluate the objective function z = 5x1 + 3x2 at each corner point to determine the optimal solution point that maximizes z.

(b) Solving the LP using the Simplex Method:

The initial simplex tableau is formed by adding slack variables to the constraints and setting up the objective function row.

After performing the simplex iterations, we can obtain the final simplex tableau and read the optimal solution from it.

(c) Identifying all basic feasible solutions corresponding to each tableau of the Simplex Method and finding the corresponding point in the graph:

In each tableau of the Simplex Method, the basic feasible solutions correspond to the variables that have a value of zero in the objective row.

For each tableau, we can identify the basic feasible solutions and their corresponding points in the graph by setting the non-basic variables to zero and solving for the basic variables.

(d) Determining if the LP is degenerate:

An LP is considered degenerate if there are multiple solutions that give the same optimal objective function value.

To determine if the LP is degenerate, we need to examine the final simplex tableau and check if there are multiple solutions with the same optimal objective function value.

(e) Establishing if the LP is unbounded, has multiple optimal solutions, or has a unique optimal solution:

We can determine if the LP is unbounded, has multiple optimal solutions, or has a unique optimal solution by examining the final simplex tableau.

If there is a column in the objective row with all negative values or a row with all non-positive values, the LP is unbounded.

If the optimal objective function value appears multiple times in the objective row, the LP has multiple optimal solutions.

If the optimal objective function value appears only once and there are no other non-positive values in the objective row, the LP has a unique optimal solution.

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Answer:

This isn't a question lol

Put the question in the replies to this answer and I'll gladly answer it for you.

Step-by-step explanation:

May I have brainliest please? :)

The vapor pressure of the ideal solution containing 92.1 g glye and 1844 g ethanol is 0.1708 atm. The question requires us to calculate the vapor pressure of an ideal solution that consists of two different solutes. The two solutes in the solution are glye and ethanol.

It is important to note that an ideal solution is one in which the enthalpy of mixing is zero and there are no intermolecular forces between the molecules of the two solutes.

This means that the vapor pressure of the ideal solution can be calculated using Raoult’s law, which states that the vapor pressure of a solution is equal to the mole fraction of the solvent multiplied by the vapor pressure of the pure solvent.

Here are the steps to calculate the vapor pressure of the ideal solution: 1. Calculate the mole fraction of the solvent:To calculate the mole fraction of the solvent, we need to first find out the number of moles of each solute in the solution.

The molecular weight of glye is 92.1 g/mol, so the number of moles of glye is 1 mole / 92.1 g = 0.01084 moles. Similarly, the molecular weight of ethanol is 46.07 g/mol, so the number of moles of ethanol is 1844 g / 46.07 g/mol = 40.03 moles.

The total number of moles in the solution is therefore 40.03 + 0.01084 = 40.04084 moles. The mole fraction of the solvent (ethanol) is therefore:moles of ethanol / total moles = 40.03 / 40.04084 = 0.9997.2. Calculate the vapor pressure of the solution:

Now that we have the mole fraction of the solvent, we can use Raoult’s law to calculate the vapor pressure of the solution. The vapor pressure of pure ethanol is given as 0.171 atm.

Therefore, the vapor pressure of the solution is:0.9997 x 0.171 atm = 0.1708 atm. Therefore, the vapor pressure of the ideal solution containing 92.1 g glye and 1844 g ethanol is 0.1708 atm.

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The Electron Geometry Chart is a visual representation of the arrangement of electrons in a molecule. It is used to predict the molecular shape and the bond angles of a molecule based on its electron-group geometry.

Electron geometry is a term used to describe the arrangement of electron groups around a central atom in a molecule. This arrangement is important in determining the molecular shape and the bond angles of the molecule, which can affect its physical and chemical properties.

The Electron Geometry Chart provides a simple and visual way of understanding the arrangement of electrons in a molecule. It shows the number of electron groups surrounding a central atom and the shape that they form.

The chart also shows the bond angles between the electron groups and the central atom, which can be used to predict the molecular shape of the molecule.

The value of the Electron Geometry Chart lies in its ability to help students and scientists understand the relationship between the electron arrangement in a molecule and its molecular shape and bond angles.

By using the chart, students can develop a deeper understanding of molecular geometry and its impact on the physical and chemical properties of a molecule.

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Answer: your answer is A

Step-by-step explanation:

Enjoy :D

Answer:

65.7

Step-by-step explanation:

Given ;

Mean, m = 63.6

Standard deviation, s = 2.5

80th percentile = 80 / 100 = 0.8

The Zscore corresponding to the 80th percentile ; Z < P = 0.842 (Z probability calculator)

Zscore = (x - m) / s

0.842 = (x - 63.6) / 2.5

0.842 * 2.5 = x - 63.6

2.105 = x - 63.6

x = 63.6 + 2.105

x = 65.705

The original slope's reciprocal will be the opposite of the perpendicular slope. To determine the intercept, b, enter the supplied point and the new slope into the slope-intercept form (y = mx + b). Rewrite the following equation in standard form: ax + by = c.

The values of the slope and y-intercept provide details on the relationship between the two variables, x and y. The slope shows how quickly y changes for every unit change in x. When the x-value is 0, the y-intercept shows the y-value.

Y = mx + b, where m denotes the slope and b the y-intercept, is how the equation of the line is expressed in the slope-intercept form. We can see that the slope of the line in our equation, y = 6x + 2, is 6.

The slope is m and the y-intercept is b in the equation y=mx+b in slope-intercept form. Some equations can also be rewritten so that they resemble slope-intercept form. For instance, y=x can be written as y=1x+0, resulting in a slope and y-intercept of 1 and 0, respectively.

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The statement "if f'(x) = g'(x) for 0 < x < 6, then f(x) = g(x) for 0 < x < 6" is false. This statement is False. If f'(x) = g'(x) for 0 < x < 6, it means that the derivatives of both functions are equal on the interval (0, 6).

However, this does not necessarily mean that the functions themselves are equal on that interval.

In other words, there could be a constant difference between f(x) and g(x), which would not affect their derivatives.

To illustrate this, consider the functions f(x) = x^2 and g(x) = x^2 + 1. The derivative of both functions is 2x, which is equal for all values of x.

However, f(x) and g(x) are not equal on the interval (0, 6), as g(x) is always greater than f(x) by 1.

Therefore, the statement "if f'(x) = g'(x) for 0 < x < 6, then f(x) = g(x) for 0 < x < 6" is false.

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Answer:

5/4

Step-by-step explanation:

y2 - y1 / x2 - x1

3 - (-7) / 4 - (-4)

10 / 8

= 5/4

Answer:

Step-by-step explanation:

i don't know just want points

The given quadratic equation is 3x^2 - 4x - 160 = 0.

To find the solutions of the quadratic equation, we can use the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / (2a)

In this equation, a = 3, b = -4, and c = -160. Substituting these values into the quadratic formula, we get:

x = (-(-4) ± sqrt((-4)^2 - 4 * 3 * (-160))) / (2 * 3)

Simplifying further:

x = (4 ± sqrt(16 + 1920)) / 6

x = (4 ± sqrt(1936)) / 6

x = (4 ± 44) / 6

We have two possible solutions:

x = (4 + 44) / 6 = 48 / 6 = 8

x = (4 - 44) / 6 = -40 / 6 = -20/3

Therefore, the solutions to the quadratic equation 3x^2 - 4x - 160 = 0 are x = 8 and x = -20/3.

Now, let's analyze the quadratic equation and its solutions. Since we are dealing with a real quadratic equation, it is possible to have real solutions. In this case, we have two real solutions: one is a rational number (8) and the other is an irrational number (-20/3).

The rational solution x = 8 indicates that there is a point where the quadratic equation intersects the x-axis. It represents the x-coordinate of the vertex of the parabolic graph.

The irrational solution x = -20/3 indicates another point of intersection with the x-axis. It represents another possible value for x that satisfies the equation.

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Answer:

The last option:  \(3 x^{^{\frac{9}{2}}}y^{^{\frac{3}{2}}}\)

Step-by-step explanation:

Main concepts:

Concept 1. Parts of a Radical

Concept 2. Radicals as exponents

Concept 3. Exponent properties

Concept 4. How to simplify a radical

Concept 1. Parts of a Radical

Radicals have a few parts:

If the index isn't shown, it is the default index of "2".  This default index for a radical represents a square root, which is why people sometimes erroneously call the radical symbol a square root even when the index is not 2.

In this situation, the radical's index is 4, and the radicand is 81 x^18 y^6.

Concept 2. Radicals as exponents

For any radical, the entire radical expression can be rewritten equivalently as the radicand raised to the power of the reciprocal of the index of the radical.  In equation form:

\(\sqrt[n]{x} =x^{^{\frac{1}{n}}}\)

So, the original expression can be rewritten as follows:

\(\sqrt[4]{81x^{18}y^{6}}\)

\((81x^{18}y^{6})^{^{\frac{1}{4}}}\)

Concept 3. Exponent properties

There are a number of properties of exponents:

Continuing with our expression, \((81x^{18}y^{6})^{^{\frac{1}{4}}}\), we can apply the "distributive" property since all of the parts are multiplied to each other...

\((81)^{^{\frac{1}{4}}}(x^{18})^{^{\frac{1}{4}}}(y^{6})^{^{\frac{1}{4}}}\)

Applying the "Bases raised to powers, raised again to another power, multiplies powers" rule for the parts with x and y...

\((81)^{^{\frac{1}{4}}}(x^{^{\frac{18}{4}}})(y^{^{\frac{6}{4}}})\)

Reducing those fractions, (both the numerators and denominators have a factor of 2)...

\((81)^{^{\frac{1}{4}}}(x^{^{\frac{9}{2}}})(y^{^{\frac{3}{2}}})\)

Rewriting the exponent of the "81" back as a radical...

\(\sqrt[4]{81} x^{^{\frac{9}{2}}}y^{^{\frac{3}{2}}}\)

Concept 4. How to simplify a radical

For any radical with index "n", the result is the number (or expression) that when multiplied together "n" times gives the radicand.

In our case, the index is 4.  So, we're looking for a number that when multiplied together four times, gives a result of 81.

One method of simplifying radicals is to completely factor the radicand into prime factors, and forms groups (each containing an "n" number of matching items).

Note that 81 factors into 9*9, which further factors into 3*3*3*3

This is a group of 4 matching items, and since the index of the radical is 4, we have found a group that can be factored out of the radical completely:

\(\sqrt[4]{81} =\sqrt[4]{(3*3*3*3)}=3\)

So, our original expression, simplifies finally to \(3 x^{^{\frac{9}{2}}}y^{^{\frac{3}{2}}}\)

This is the last option for the multiple choice.

The percent needed on the final test is 99.6% in order to earn 93% on all 4 tests combined.

Let x be the percentage of the final test in order to earn 93% on all 4 tests combined.

To solve the problem, we will have to use weighted averages.

It is a method used to determine the mean of a set of data, where each observation has a different weight or frequency.

Let's first find the weighted average of the three tests you have already taken.

Given that you earned scores of 88%, 94%, and 90% on the first three tests, and each test was worth 150 points.

88% of 150 points = 132 points

94% of 150 points = 141 points

90% of 150 points = 135 points

The sum of the points you earned = 132 + 141 + 135 = 408 points

The total possible points = 450 points, which is the sum of 150 points for each of the 3 tests.

So, the weighted average of the first three tests = 408/450 × 100% = 90.67%.

To earn a 93% average on all 4 tests combined, the sum of the total points earned must be 93% of the total possible points.

93% of (450 + 250) = 657 points

The total points earned on the first three tests = 408 points

So, the points required on the final test are 657 - 408 = 249 points.

The final test is worth 250 points, so you need to earn 249/250 × 100% = 99.6%.

Therefore, you need to earn 99.6% on the final test to earn a 93% average on all 4 tests combined.

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Step-by-step explanation:

500=2x

x= 250....ppl can get water

250==2x

125....ppl can get water now

a. The greatest number of packages the teacher can make using all the paintbrushes and paint is 8

b. The number of paintbrushes in each package would be 3 and the number of tubes of paints would be 5

In order to determine the greatest number of packages the teacher can make using all the paintbrushes and paint, we have to determine the highest common factor of the number of brushes and the number of tubes of paint

Highest common factor is the highest factor that is common to two or more numbers:

Factors of 24 = 1,2,3,4,6,8,12 and 24

Factors of 40 = 1, 2, 4, 5, 8, 10, 20 and 40.

Common factors of 24 and 40 = 1, 2, 4, 8

Therefore, the highest common factor is 8.

The number of paintbrushes in each package:

= Number of brushes / number of package

= 24/8

= 3 brushes

The number of tubes of paint:

= number of tubes of paints / number of package

= 40 / 8

= 5 tubes of paints

Full question "An art teacher is making packages of paint brushes and paint for his. He has 24 brushes and 40 tubes of paint. Each package will have the same number An art teacher is making packages of paintbrushes and paint for his students. of brushes and the same number of tubes of paint. Part a. What is the greatest number of packages that the art teacher can make using all the paintbrushes and paint? Show your work Part b. How many paintbrushes and tubes of paint are in each package?​".

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The linear equation for the line that goes through (-14, -5) and (4, 7) in standard form is; 2x - 3y = -13.

Since the given points are as given; (–14, –5) and (4, 7).

The slope of the line can be determined from the formula; m = (y₂ - y₁) / (x₂ - x₁)

Hence, the slope of the line is;

m = (7 - (-5)) / (4 - (-14))

m = 12 / 18

m = 2 / 3.

Therefore, the required linear equation can be determined according to the point-slope form; (y - y₁) = m (x - x₁)

Hence, we have;

( y - 7 ) = 2/3 (x - 4)

3y - 21 = 2x - 8

Therefore, 2x - 3y = -13

The required equation in standard form is; 2x - 3y = -13.

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The number of pack of cards sold at the state of Arkansas is 8100.

For the values given in question.

The tax on playing card in state of Arkansas = 6 cents per pack.

Total revenue generated =  $48600.

Divide total revenue by one pack price to get the number of packs.

Number of pack = Total revenue/price of each pack

Number of pack =  $48600/6

$48600.Number of pack = 8100

Thus, the number of pack of cards sold at the state of Arkansas is 8100.

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Answer:

120

Step-by-step explanation:

The prism shown is a triangular prism

The volume of a triangular prism can be found by multiplying the area of the base ( which is a triangle ) by the length of the prism ( which is 10 feet )

First let's find the area of the base.

To find the area of a triangle we use this formula \(A=\frac{bh}{2}\)

where b = base length and h = height

The base length is 6ft and the height is 4ft.

Using these dimensions we plug in the values into the formula

\(\frac{4*6}{2} \\4*6=24\\\frac{24}{2} =12\)

So the area of the base is 12ft²

Finally to find the volume we multiply the area of the base by the length of the prism

12 * 10 = 120

Hence, the volume of the prism is 120ft³

Answer:

p = 3

Step-by-step explanation:

Applying,

mid point of A and B is

P = [(x₁+x₂)/2,(y₁+y₂)/2]............... Equation 1

From the question,

Given: x₁ = 6, x₂ = -2, y₁ = -5, y₂ = 11

Substitute these values into equation 1

P = [(6-2)/2,(-5+11)/2)

P = (2,3)

comparing,

P(2,p) to (4,3)

Therefore,

p = 3

The commission the sales man was paid is 101

A sales commission is a sum of money paid to an employee upon completion of a task, usually selling a certain amount of goods or services. Employers sometimes use sales commissions as incentives to increase worker productivity. A commission may be paid in addition to a salary or instead of a salary.

For example, if a man is to be given a commission of 10%. And he made a sales of $10000. Therefore his commission is 10/100× 10000 = $1000

The commission of the sales man is 5% of his total sales

His total sales is 2020

Therefore the commission the sales man will be paid is 5/100× 2020

= 10100/100

= 101

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When the water flows through the sprinkler nozzle, it speeds up, creating a low-pressure area that sucks water up from the supply pipe and distributes it over the lawn.

Archimedes' principle, Pascal, and Bernoulli's principle have been proved to be the most fundamental principles of physics. Here is a detailed explanation of the similarities and differences between the three and three examples of daily life for each of the principles:

Archimedes' principle: This principle of physics refers to an object’s buoyancy. It states that the upward buoyant force that is exerted on an object that is submerged in a liquid is equal to the weight of the liquid that is displaced by the object.
It is used to determine the buoyancy of an object in a fluid.
It is applicable in a fluid or liquid medium.
Differences:
It concerns only fluids and not gases.
It only concerns the buoyancy of objects.

Examples of daily life for Archimedes' principle:

Swimming: Swimming is an excellent example of this principle in action. When you swim, you’re supported by the water, which applies a buoyant force to keep you afloat.
Balloons: Balloons are another example. The helium gas in the balloon is lighter than the air outside the balloon, so the balloon is lifted up and away from the ground.
Ships: When a ship is afloat, it displaces a volume of water that weighs the same as the weight of the ship.

Pascal's principle:
Pascal's principle states that when there is a pressure change in a confined fluid, that change is transmitted uniformly throughout the fluid and in all directions.
It deals with the change in pressure in a confined fluid.
It is applicable to both liquids and gases.
Differences:
It doesn’t deal with the change of pressure in the open atmosphere or a vacuum.
It applies to all fluids, including liquids and gases.

Examples of daily life for Pascal's principle:

Hydraulic lifts: Hydraulic lifts are used to lift heavy loads, such as vehicles, and are an excellent example of Pascal's principle in action. The force applied to the small piston is transmitted through the fluid to the larger piston, which produces a greater force.
Syringes: Syringes are used to administer medicines to patients and are also an example of Pascal's principle in action.
Brakes: The braking system of a vehicle is another example of Pascal's principle in action. When the brake pedal is depressed, it applies pressure to the fluid, which is transmitted to the brake calipers and pads.

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The total purchase price is $41,625.00

Capital gain was recorded

The capital gain is $41,625.00

What is total initial initial investment?

Was a capital gain or loss made?

What is the dollar value of gain or loss recorded?

Cost per share=$83.25(note 1/4=0.25)

Total purchase price=purchase price per share*number of shares

Total purchase price=$83.25*500

Total purchase price=$41,625.00

The fact that the price at which Sherry sold the stocks a year later is more than the initial purchase price of $83.25, means that a capital gain was recorded, in other words, she bought low and sold high.

The capital gain can be computed as the total selling price(selling price per stock multiplied by the number of shares sold) minus the total purchase price.

total selling price=$95.50(i.e. 1/2=0.500

total selling price=$95.50*500

total selling price=$47,750.00

capital gain=$47,750.00-$41,625.00

capital gain=$6,125.00

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