An investor purchased 60 shares of stock in a computer company at $61.83 per share. After holding the stock for two years, the investor sold all
of the stocks for a total of $3,992.10. If the investor pays a 1.75% brokerage fee, what is the total gain or loss?
The total gain is $282.30.
O The total loss is $282.30.
O The total gain is $212.44.
O The total loss is $212.44.

Step-by-step explanation:

please complete your question

Answer:

141 minus 3 equals 123

Step-by-step explanation:

Answer:

x=5, y=1

Step-by-step explanation:

Isolate x for 5x-3y=22

5x-3y=22

Add 3y to both sides

5x-3y+3y=22+3y

Simplify

5x=22+3y

Divide both sides by 5

5x/5=22/5+3y/5

Simplify

x=22+3y/5

Substitute  x=22+3y/5

10*22+3y/5-4y=46

Simplify 10*22+3y/5-4y

10*22+3y/5=2(3y+22)

=2(3y+22)-4y

Expand 2(3y+22)

=6y+44-4y

Simplify 6y+44-4y

=2y+44

Isolate y for 2y+44=46

2y+44=46

Subtract 44 from both sides:

2y+44-44=46-44

Simplify

2y=2

Divide both sides by 2;

2y/2=2/2

Simplify;

y=1

For x=22+3*1/5 substitute y=1

y=22+3*1/5

22+3*1=25

=25/5

Divide the numbers;25/5=5

=5

x=5

The solutions to the system of equations are;

x=5, y=1

Diagonal lines in the corners of rectangles represent areas that should be cut or removed from a design or printed material, serving as a guide for precise trimming and ensuring a polished final product.

Diagonal lines in the corners of rectangles typically represent objects or entities that have been "cut" or removed from the original shape. These lines are commonly referred to as "cut marks" or "crop marks" and are used in graphic design, printing, and other visual media to indicate areas of an image or layout that should be trimmed or removed.

In graphic design and print production, rectangles with diagonal lines in the corners are often used as guidelines for cutting or cropping printed materials such as brochures, flyers, or business cards. They indicate where the excess area should be trimmed, ensuring that the final product has clean edges.

These marks are essential for ensuring accurate and precise cutting, preventing any unintended white spaces or misalignment. They help align the cutting tools and provide a visual reference for removing unwanted portions of the design.

In summary, diagonal lines in the corners of rectangles represent areas that should be cut or removed from a design or printed material, serving as a guide for precise trimming and ensuring a polished final product.

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Henry could only see one line since both lines had the same slope, which means that the graphs of both equations will be identical and hence overlap.

Linear equations in a system 3x + 2y = 4, and 9x + 6y = 12

We must demonstrate why Henry could only make out one line when he plotted the equations 3x-2y=4 and 9x-6y=12 on a graph.

Take the provided linear equation system into consideration.

3x - 2y = 4 ................(1)

9x - 6y = 12 ..................(2)

Due to the fact that equation (2) is a multiple of equation (1), 3 (3x - 2y = 4) = 9x - 6y = 12

The slopes of the provided equations are also same.

Difference with regard to x for equation (1) yields,

additional to equation (2),

With regard to x, we can differentiate to get,

The graphs of both equations will overlap since both lines have the same slope and hence have the same appearance on the graph.

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Answer:

O C. 5.76 in2

Step-by-step explanation:

To find the area of a square, the formula is

length x width = area

length = 2.4

width = 2.4

2.4in x 2.4in = 5.76 in2

in2 is the part of the answer since  in x in = in2

Let x be the number that we are interested in, then the statement written in algebraic form is:

Simplifying the above equation we get:

Subtracting 8 from the above equation we get:

Therefore, the number we are looking for is -1.

Answer:

And x=-1.

Step-by-step explanation:

(PEMDAS).

50/(20-y)-1=4

50/(20-y)=5

Next, we can cross-multiply to get rid of the fraction:

50 = 5(20-y)

Simplifying further, we get:

50 = 100 - 5y

-50 = -5y

10 = y

Therefore, the solution to the equation is y=10.

Answer: y=10

Nine (9) cards must be selected from the standard 52 deck to guarantee that at least three cards are chosen from the same suit.

What is the pigeon-hole approach?
According to the pigeonhole principle, at least one container must hold more than one item if n things are placed into m containers, where n > m. For instance, if one possesses three gloves but none of them are ambidextrous or reversible, then there must be at least two right-handed gloves or at least two left-handed gloves since there are three items but only two categories of handedness. It is possible to establish potentially surprising consequences using this seemingly obvious assertion, a type of counting argument.

The standard 52 deck has 4 suits of 13 cards each, thus as per n pigeons need to be extracted from p = 4 pigeon-holes; as per established literature above.
∴ [(n - 1) / p] + 1 = 3 ⇒ [(n - 1) / 4] + 1 = 3 ⇒ n - 1 = 8 ⇒ n = 8 + 1 ⇒ n = 9
Therefore, nine (9) cards must be selected from the standard 52 deck to guarantee that at least three cards are chosen from the same suit.

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Answer:

I would believe that it is A.

Step-by-step explanation:

The fact that A has 5, and x is minus two times, 5/2= 2.5, and that is where the second arrowhead is pointing to on the x axis.

The number of pounds of apples, y, minus two times the number of pounds of oranges, x, is at most 5 which is correct option (A).

A graph can be defined as a pictorial representation or a diagram that represents data or values.

A linear function is defined as a function in the form of f(x) = mx + bc where 'm' and 'c' are real numbers.

It represents the line's slope-intercept form, which is written as y = mx + c.

This is because a linear function represents a line, i.e., its graph is a line. Here,

'm' is the slope of the line

'c' is the y-intercept of the line

'x' is the independent variable

'y' (or f(x)) is the dependent variable

According to given graph,

A has a value of 5, and since x is negative two times, 5/2=2.5, which is where the second arrowhead on the x axis is pointing.

So, the total  number of the pounds of apples, y minus two times, and the pounds of oranges, x, equals at most five pounds.

Hence, the number of pounds of apples, y, minus two times the number of pounds of oranges, x, is at most 5.

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Answer:

Assuming that AED is the currency:

Step-by-step explanation:

The question notes that if the TV is 3 the bike would be 2.

8000*1.5 = 12000

Answer would be 12000 AED, because you multiply the bike by 3/2

The statue is 4 meters shorter than Xavier. This can be determined as follows:

The statue in Brookfield Park is taller than Xavier, and we can determine the height difference using the given distances.

Determine the height of Xavier: From the information provided, we know that the distance between the top of the statue and Xavier's head is 20 meters. Therefore, Xavier's height is 20 meters.

Calculate the height of the statue: Since Xavier is standing 16 meters away from the statue, we can use the concept of similar triangles to find the height of the statue. The ratio of the height of the statue to the distance between Xavier and the statue is the same as the ratio of Xavier's height to the distance between Xavier and his head.

Height of the statue / 16 = Xavier's height / 20

Solve for the height of the statue:

Height of the statue = (Xavier's height / 20) * 16

Substituting Xavier's height as 20 meters:

Height of the statue = (20 / 20) * 16 = 16 meters

Calculate the height difference:

Height difference = Height of the statue - Xavier's height

= 16 - 20

= -4 meters

The statue is 4 meters shorter than Xavier.

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The technique used in the given scenario is simple random sampling. Despite the use of simple random sampling, there can be some potential sources of bias in the given scenario like sampling error.

The given scenario involves the sampling technique, which is a statistical technique used to collect a representative sample of a population. The sampling techniques used and the potential sources of bias are discussed below:

SAMPLING TECHNIQUE: The technique used in the given scenario is simple random sampling. With this technique, each member of the population has an equal chance of being selected. Here, a sample is taken from one-acre subplots in a 53-acre field.

Potential Sources OF Bias: Despite the use of simple random sampling, there can be some potential sources of bias in the given scenario. Some of the sources of bias are discussed below:

Spatial bias: The first source of bias that could affect the results of the study is spatial bias. The 53-acre field could be divided into some specific subplots, which may not be representative of the whole population. For example, some subplots may have a higher or lower level of soil fertility than others, which could affect the yield of alfalfa.

Sampling error: Sampling error is another potential source of bias that could affect the results of the study. The sample taken from one-acre subplots may not represent the whole population. It is possible that the subplots sampled may not be representative of the whole population. For example, the yield of alfalfa may be higher or lower in the subplots sampled, which could affect the results of the study.

Conclusion: In conclusion, the sampling technique used in the given scenario is simple random sampling, and there are some potential sources of bias that could affect the results of the study. Some of these sources of bias include spatial bias and sampling error.

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The distance between the end of the water supply pipe and the sink should be 2 times the diameter of the supply pipe. Option B is the correct answer.

The distance between the end of the water supply pipe and the sink is determined by plumbing codes and standards to ensure safe and efficient water delivery.

The National Standard Plumbing Code requires a minimum distance of 2 times the diameter of the supply pipe between the end of the pipe and the nearest point of use, such as a faucet or sink.

This helps prevent any potential contamination from the supply pipe and ensures adequate flow and pressure for efficient operation.

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The optimal mix of crops to plant is 1,304 acres of soybeans, 761 acres of corn, and 341 acres of cotton, which will maximize the family's total profit.

3.51 Farm Management problem: Formulate and solve a linear programming model for this problem in a spreadsheet.The given table contains information about the labor-hours and fertilizer needed per acre and the total expected profit per acre for the potential crops under consideration.

Given that Dwight, Hattie, and their children can work at most 6.500 total hours during the upcoming season and have 200 tons of fertilizer available. We need to find the mix of crops that maximizes the family's total profit.Let x1, x2, and x3 be the amount of acres for soybeans, corn, and cotton, respectively.

We need to maximize the profit, which is given byZ = 70x1 + 60x2 + 90x3subject to the constraints given below:2x1 + 3x2 + 4x3 <= 6,500 (labor-hours constraint)3x1 + 2x2 + 4x3 <= 200 (fertilizer constraint)x1, x2, x3 >= 0 (non-negativity constraint)The linear programming model for this problem can be written as follows:maximize Z = 70x1 + 60x2 + 90x3Subject to:2x1 + 3x2 + 4x3 ≤ 6,5003x1 + 2x2 + 4x3 ≤ 200x1, x2, x3 ≥ 0Solving the problem using a spreadsheet, we get the following optimal solution.

 The optimal solution is obtained for x1 = 1,304 acres of soybeans, x2 = 761 acres of corn, and x3 = 341 acres of cotton.

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Answer:

The two hidden numbers are 8 and 1.

Step-by-step explanation:

Mean of a data-set:

The mean of a data-set is given by the sum of all its values divided by the number of values.

Mode of a data-set:

The mode of a data-set is the value that appears the most.

In this question:

4, 9, x, y, 8

Mode is 8 means that at least one of them must be 8, so i will say x is 8 and we have:

4, 9, 8, y, 8

The mean of the five numbers is 6

This means that:

\(\frac{4+9+8+y+8}{5} = 6\)

\(29+y = 30\)

\(y = 30 - 29\)

\(y = 1\)

The two hidden numbers are 8 and 1.

If g is a horizontal shrink by a factor of 2/3, followed by a translation 4 units left of the graph of f(x)= √6x, the sequence of transformation from f(x) to g(x) is:

Dilation by a factor of 2/3

Horizontal translation to the left by 4 units

g(x) = 2/3 [√6(x - 4)]

The given function is f(x)= √6x

Shrink the function f(x)= √6x by a factor of 2/3, the resulting function becomes 2/3 (√6x)

Translate the resulting function by 4 units to the left of the graph to form g(x)

g(x) = 2/3 [√6(x - 4)]

Therefore, the sequence of transformation from f(x) to g(x) is:

Dilation by a factor of 2/3

Horizontal translation to the left by 4 units

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The subshell designated by each set of quantum numbers is as follows:

a) n=3, l=1 -> 3p subshell

b) n=4, l=2 -> 4d subshell

c) n=2, l=0 -> 2s subshell

d) n=5, l=3 -> 5f subshell

In the electron configuration of an atom, each electron is described by a set of four quantum numbers, which includes the principal quantum number (n), the angular momentum quantum number (l), the magnetic quantum number (m), and the spin quantum number (s). The second quantum number (l) determines the shape of the subshell, which in turn influences the energy level and chemical behavior of the atom. The letter designation for each subshell is based on the value of the angular momentum quantum number (l): s (l=0), p (l=1), d (l=2), f (l=3), and so on. Therefore, for a given set of quantum numbers, we can determine the subshell designation by identifying the value of l.

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The return on assets for big store (a) in 2012 and (b) in 2021 is 10% and 8% respectively.

To calculate the ROA for a given year, we simply divide Big Store's net income by its total assets for that year. So, let's say that in 2012, Big Store had net income of $100,000 and total assets of $1,000,000. We would calculate the ROA for 2012 like this:

ROA 2012 = Net income 2012 / Total assets 2012

ROA 2012 = $100,000 / $1,000,000

ROA 2012 = 0.10 or 10%

This means that in 2012, for every dollar of assets that Big Store had, it earned 10 cents in net income.

Now, let's fast forward to 2021. Let's say that in 2021, Big Store had net income of $200,000 and total assets of $2,500,000. We would calculate the ROA for 2021 like this:

ROA 2021 = Net income 2021 / Total assets 2021

ROA 2021 = $200,000 / $2,500,000

ROA 2021 = 0.08 or 8%

This means that in 2021, for every dollar of assets that Big Store had, it earned 8 cents in net income.

So, we can see that the ROA for Big Store decreased between 2012 and 2021, from 10% to 8%. This could be due to a variety of factors, such as increased competition, higher operating costs, or changes in the industry.

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Answer:

9.8 is the correct answer

Answer:

There are a total of 24 players on 4 teams

Step-by-step explanation:

Trynna cheat on your math diagnostic huh. IM TELLING ON YOU!!!

The ordered pair (4,24) represent that there are total 24 players in total 4 teams.

The correct option (A)

The term proportionality describes any relationship that is always in the same ratio.  for example, The number of apples in a crop, is proportional to the number of trees in the orchard, the ratio of proportionality being the average number of apples per tree.

As, proportionality indicates that the two quantities  will increase or decrease at the same rate.

So, here 4 represent on the axis of number of teams.

and, 24 represent on the axis of number of players.

So, the coordinate (4,24) represent there are total 24 players in 4 teams.

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Answer:

NMP and QPR

Step-by-step explanation:

NMP and QPR

this pair is the only pair of corresponding angles in this picture

Answer:

Step-by-step explanation:

m∠8 = 130

m∠6 = 130

m∠7 = 50

m∠11 = 65

m∠15 = 65

m∠10 = 65

The area of the sector is A = π cm² and amplitude is a = 0.75 cm

Given data ,

The area of a sector is given by the formula:

A = (1/2) x r² x θ

where r is the radius of the sector and θ is the central angle in radians.

On simplifying , we get

A = π cm²

r = 1.5 cm

Substituting these values into the formula, we get:

π = (1/2) x (1.5)² x θ

π = (3/4) x θ

Solving for θ, we get:

θ = (4/3) x π

The amplitude of the sector is half of the radius, so:

amplitude = (1/2) x 1.5 cm = 0.75 cm

Hence , the amplitude of the sector is 0.75 cm

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Answer:

40cm

Step-by-step explanation:

Piece of string is 64cm.

Divided in the ratio 1 : 2 : 5

Assuming 1x, 2x, and 5x as the pieces

Then,

⇒ 1x + 2x + 5x = 64

⇒ 8x = 64

⇒ 8x/8 = 64/8 [dividing both sides by 8]

⇒ x = 8

Henceforth, lenght of the longest piece would be 5x = 5(8) = 40cm

The angle subtended by an arc is twice the angle it subtends.

The angle is 90 degrees.

What is diameter of circle?

diameter is circle is twice the radius of circle.

The theorem to solve the given statement is :

The angle subtended by an arc is twice the angle it subtends.

let suppose, O be the center of circle,

The diameter AB forms on the circle and point P on the periphery of circle ,

so we have:

To prove : ∠APB=90°

We know that angle subtended by an arc at center is double the angle subtended at any point or circumference.

that is:

Angle subtended by arc AB at O = Double the angle subtended at P

⇒∠AOB=2∠APB

∵AOB is a straight line.

∠AOB=180°

2∠APB=180°

∠APB=90°

Angle formed by arc AB or semi circle is 90°

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The two inequalities that define the shaded region in the diagram are:

y ≥ 4 and y < x

For the solid vertical line, the slope (m) is 0. The inequality sign we would use would be "≥"  because the shaded region is to the left and the boundary line is solid.

The y-intercept is at 4, therefore, substitute m = 0 and b = 4 into y ≥ mx + b:

y ≥ 0(x) + 4

y ≥ 4

For the dashed line:

m = change in y / change in x = 1/1 = 1

b = 0

the inequality sign to use is: "<"

Substitute m = 1 and b = 0 into y < mx + b:

y < 1(x) + 0

y < x

Thus, the two inequalities are:

y ≥ 4 and y < x

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21 inch²

we splitthe two shapes, find the areas by multiplying the two sides and we add both of the answers, 15+6

Answer:

2(3) + 2(6) = 6 + 12 = 18 square feet

The general solution of the given differential equation is y = y_h + y_p = ce^(4t) + (1/7)te^(3t).

The given differential equation is y' - 4y = e^(3t). This is a linear first-order homogeneous differential equation with constant coefficients. To solve this equation, we first find the general solution of the corresponding homogeneous equation y' - 4y = 0. The characteristic equation is r - 4 = 0, which has a single root r = 4. Therefore, the general solution of the homogeneous equation is y_h = c*e^(4t), where c is a constant.

Next, we find a particular solution of the non-homogeneous equation y_p by using the method of undetermined coefficients. Since e^(3t) is a solution of the homogeneous equation, we try a particular solution of the form y_p = Ate^(3t), where A is a constant. We take the first derivative of y_p, which is y'_p = Ae^(3t) + 3At*e^(3t).

Simplifying this equation, we get:

Ae^(3t) - 4At*e^(3t) = e^(3t)

Factoring out e^(3t), we get:

e^(3t)(A - 4tA) = e^(3t)

Since e^(3t) is never zero, we can divide both sides by e^(3t) to get:

A - 4tA = 1

Solving for A, we get:

A = 1/(1-4t)

Therefore, the particular solution of the non-homogeneous equation is y_p = Ate^(3t) = (1/7)te^(3t).

Finally, the general solution of the given differential equation is y = y_h + y_p = c*e^(4t) + (1/7)te^(3t), where c is a constant.

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(a) The probability of ending up with two hits is approximately 0.1406.

(b) The probability of ending up with no hits is approximately 0.4219.

(c) The probability of ending up with exactly three hits is approximately 0.0156.

(d) The probability of ending up with at most one hit is approximately 0.8438.

To solve the given problem, we need to use the concept of binomial probability since each at-bat is independent and has the same probability of a hit. We'll use the batting average of 0.250 to calculate the probabilities.

The probability of a hit is given by the batting average, which is 0.250.

(a) To find the probability that she ends up with two hits:

Using the binomial probability formula, the probability of getting exactly two hits in three at-bats can be calculated as follows:

P(X = 2) = (3 choose 2) * \((0.250)^2 * (1 - 0.250)^(^3^ -^ 2^)\)

Calculating the values:

P(X = 2) = (3 choose 2) * \((0.250)^2 * (0.750)^1\)

P(X = 2) = 3 * 0.0625 * 0.750

P(X = 2) ≈ 0.1406

Therefore, the probability that she ends up with two hits is approximately 0.1406.

(b) To find the probability that she ends up with no hits:

Using the same binomial probability formula, the probability of getting no hits in three at-bats can be calculated as follows:

P(X = 0) = (3 choose 0) *\((0.250)^0 * (1 - 0.250)^(^3^ -^ 0^)\)

Calculating the values:

P(X = 0) = (3 choose 0) *\((0.250)^0 * (0.750)^3\)

P(X = 0) = 1 * 1 * 0.4219

P(X = 0) ≈ 0.4219

Therefore, the probability that she ends up with no hits is approximately 0.4219.

(c) To find the probability that she ends up with exactly three hits:

Using the same binomial probability formula, the probability of getting three hits in three at-bats can be calculated as follows:

P(X = 3) = (3 choose 3) \(* (0.250)^3 * (1 - 0.250)^(^3^ -^ 3^)\)

Calculating the values:

P(X = 3) = (3 choose 3) *\((0.250)^3 * (0.750)^0\)

P(X = 3) = 1 * 0.0156 * 1

P(X = 3) ≈ 0.0156

Therefore, the probability that she ends up with exactly three hits is approximately 0.0156.

(d) To find the probability that she ends up with at most one hit:

We can find this probability by calculating the sum of the probabilities of getting 0 hits and 1 hit.

P(X ≤ 1) = P(X = 0) + P(X = 1)

Substituting the calculated values:

P(X ≤ 1) ≈ 0.4219 + P(X = 1)

To calculate P(X = 1), we can use the binomial probability formula as before:

P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^(^3^-^1^)\)

Calculating the values:

P(X = 1) = (3 choose 1) * \((0.250)^1 * (0.750)^2\)

P(X = 1) = 3 * 0.250 * 0.5625

P(X = 1) ≈ 0.4219

Substituting back into the equation:

P(X ≤ 1)

≈ 0.4219 + 0.4219

P(X ≤ 1) ≈ 0.8438

Therefore, the probability that she ends up with at most one hit is approximately 0.8438.

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