Help!!
Find the after-tax return to a corporation that buys a share of preferred stock at $49, sells it at year-end at $49, and receives a $4 year-end dividend. The firm is in the 21% tax bracket.

This is what I got so far:

Before-tax:

(49-49)+4 = 4,

4/49 = 0.0816,

After-tax:

0.0816 (1-021) = 0.06448 or 6.45%

Answer:

I would choose D

Step-by-step explanation:

I would choose D because it shows you all the drinks you can possibly have with a bagel.

Answer:

Numbers that can be expressed as a ratio of two number (p/q form) are termed as a rational number. Numbers that cannot be expressed as a ratio of two numbers are termed as an irrational number.

Step-by-step explanation:

Answer:

When we are dividing exponents, there is this rule:

\(\frac{a^n}{a^m}=a^{(n-m)}\)

So, in our case we have this:

\(\frac{16a^5b^3}{8ab} = \frac{16}{8}a^{(5-1)}b^{(3-1)}\)\(=2a^4b^2\)

Answer:

69

Step-by-step explanation:

Answer:

Consistent dependent

3x - 3y = 6  and  -x + y = -2

Step-by-step explanation:

Inconsistent: parallel lines, no solutions

Consistent dependent: same line, infinite solutions

Consistent independent: intersects at one point, one solution

Therefore, the pair of lines are Consistent dependent

From inspection of the diagram:

The lines will have equivalent equations.

Therefore, the solution is 3x - 3y = 6  and  -x + y = -2

Because:

3x - 3y = 6  ⇒  y = x - 2

-x + y = -2 ⇒  y = x - 2

Solution is in the attachment.....

The acceleration of the collar at point A is 5 ft/s^2.

A) To determine the normal force on the collar at point A, we need to consider the forces acting on the collar. The only force acting on the collar in the vertical direction is the weight of the collar (5 lb), which is balanced by the normal force exerted by the rod. Therefore, we can write:

N - 5 = 0

where N is the normal force. Solving for N, we get:

N = 5 lb

B) To determine the acceleration of the collar at point A, we need to use Newton's second law, which states that the net force acting on an object is equal to its mass times its acceleration. The net force on the collar is given by the force exerted by the spring, which is equal to the spring constant times the displacement of the collar from its unstretched length. At point A, the displacement of the collar is:

x = L - y = 3 - 0 = 3 ft

where L is the length of the rod and y is the position of the collar on the rod. Therefore, the force exerted by the spring is:

F = kx = 10 lb/ft × 3 ft = 30 lb

The weight of the collar is:

W = mg = 5 lb

where g is the acceleration due to gravity. The net force on the collar is therefore:

Fnet = F - W = 30 - 5 = 25 lb

Using Newton's second law, we can write:

Fnet = ma

where a is the acceleration of the collar. Solving for a, we get:

a = Fnet / m = 25 lb / 5 lb = 5 ft/s^2

Therefore, the acceleration of the collar at point A is 5 ft/s^2.

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To find the simplest form of a fraction, you need to simplify it by dividing both the numerator (the top number) and the denominator (the bottom number) by their greatest common factor (GCF).

To find the simplest form of a fraction, some of the steps to take include:

For example, finding the simplest form of 24 / 36 can be done by:

Find the GCF of 24 and 36. The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, and 36. The largest factor that they have in common is 12.

Divide both the numerator and denominator by 12:

24/12 = 2 and 36/12 = 3.

The resulting fraction, 2/3, has no common factors other than 1, so it is in its simplest form.

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Answer:

should be 1305 yd^2

Step-by-step explanation:

to get the surface area of one of the 3 recanglular sides take 24 x 15 to get 360 then muliply by 3 to get 1080 since all the recanglular sides are the same then do 15 x 15 to get both of the triangle sides to get 225 since the equation is 1/2 B x H then add them together

Answer:

Kindly check explanation

Step-by-step explanation:

Acceptable = a

Fails = f

For machines X, Y, Z ;

Sample space, S = {aaa, aaf, aff, fff, faa, afa, ffa, faf}

Total elements in sample space = 8

B.)

Elements of the set:

ZF={circuit from Z fails},

XA ={circuit from X is acceptable}.

ZF = {aaf, aff, fff, faf}

XA = {aaa, aaf, aff, afa}

C.)

c. Are ZF and XA mutually exclusive?

Check if ZF n XA = ∅

ZF n XA = {aaf, aff}

Hence, ZF and XA are not mutually exclusive

d. Are ZF and XA collectively exhaustive?

To be collectively exhaustive :

ZF u XA = Sample space

ZF u XA = {aaa, aaf, aff, afa, faf, fff}

{aaa, aaf, aff, afa, faf, fff} ≠ sample space

Hence, ZF and ZA are not collectively exhaustive.

e. What are the elements of the sets

C={more than one circuit acceptable},

C = {aaa, aaf, faa, afa}

D={at least two circuits fail}.

D = {ffa, faf, aff, fff}

f. Are C and D mutually exclusive?

Check if C n D = ∅

C n D = ∅

Hence, A and D are mutually exclusive

g. Are C and D collectively exhaustive?

To be collectively exhaustive :

C u D = Sample space

C u D = {aaa, aaf, aff, afa, faf, fff}

{aaa, aaf, faa, ffa, aff, afa, faf, fff} = sample space

Hence, C and D are collectively exhaustive.

Answer:

x is -9 is an extraneous solution

Step-by-step explanation:

Given the expression

x/4 = x²/3(x+3)

We are to find the value of x

Cross multiply

3x(x+3) = 4x²

3x²+9x = 4x²

3x²-4x² = 9x

-x² = 9x

-x = 9

x = -9

Hence the value of x is -9 is an extraneous solution

Answer is -9 litterly just take a postive and make it into a negative

157/34 ≈ 4.61764705882....∞

0,34 × n + 3.43 = 5

0,34n = 5 - 3.43

0,34n = 1,57

n = 157/2 ÷ 1/17

n = 157/34 ≈ 4.61764705882....∞

\( \)

Step-by-step explanation:

\(\frac{3x+5}{2x-1} +\frac{7x+3}{1-2x}=\frac{3x+5}{2x-1}-\frac{7x+3}{2x-1} =\frac{-4x+2}{2x-1}=-2.\)

this experssion does not depend on x, then for its domain: x∈(-∞;+∞).

Answer:

The speed of the plane in the still air is 420 miles/hour

The speed of the wind 60 miles/hour

Step-by-step explanation:

Let the speed of the plane with the wind be v

Let the speed of the plane against the wind be u

Now, speed = distance/time

With the wind,

v = (1440 miles)/(3 hours) = 480 miles/hour

v = 480 miles/hour

Against the wind,

u = (1440 miles)/(4 hours) = 360 miles/hour

u = 360 miles/hour

Now, let the speed of plane be p, and speed of wind be w,

Now, with the wind, the speed is 480 mph,

so,

speed of plane + speed of wind = 480 mph

p + w = 480  (i)

and against the wind, the speed is 360 mph,

so,

speed of plane - speed of wind = 360mph

p-w = 360 (ii)

adding equations (i) and (ii), we get,

p+w + p-w = 480 + 360

2p = 840

p = 840/2

p = 420 miles/hour

Then, the speed of the wind will be,

p + w = 480,

420 + w = 480

w = 480 - 420

w = 60 miles/hour

The speed of the plane in still air is calculated to be 420 mph, and the speed of the wind is calculated to be 60 mph by solving the two simultaneous equations obtained from the time, rate, and distance relationship.

This problem is about the rate, time, and distance relationships. The rate at which the airplane travels in still air is r (unaffected by wind), and the speed of the wind is w. When the plane flies with the wind, it is 'assisted' and therefore travels faster - at a speed of (r + w); against the wind, it travels slower - at a speed of (r - w).

From the problem, we know that:

By solving these two equations, we get the following:

Adding these two gives 2r = 840 => r = 420 mph (the speed of the plane in still air), and subtracting gives 2w = 120 => w = 60 mph (the speed of the wind).

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Answer:

I think the first one is 2.5, and the second box might be -2.5 ;v;

We need to assume that the can of soda can be represented as a cylinder. Then we use the formula for a cylinder volume and that's it.

The volume of a cylinder is given by:

Where r is the radius of the base and h the height of the can.

If we reply the measures in this equation we have:

So we can conclude that the volume of the can of soda is 19.5 in³, thus the correct answer is A.

The main answer is that without specific values or elements for sets A and B, we cannot determine the result of A - B and B - A.

To find A - B, we need to subtract the elements in set B from set A. Similarly, to find B - A, we need to subtract the elements in set A from set B.

However, I need the specific values or elements of sets A and B to perform the calculations. Could you please provide the values or elements of the sets?In order to perform set subtraction, we need the specific elements or values of sets A and B. Set subtraction involves removing the common elements between the sets.

Let's say set A is {1, 2, 3} and set B is {2, 3, 4}. To find A - B, we remove the elements in set B from set A. Thus, A - B would be {1}.

To find B - A, we remove the elements in set A from set B. Therefore, B - A would be {4}.

Please provide the values or elements of sets A and B, and I will be able to calculate A - B and B - A accordingly.

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Answer:

8 years.

Explanation:

• The initial value of the laptop computer = $4700

• Growth/Decay Rate = 75%=0.75

Thus, the value of the laptop after t years will be:

When the laptop is worth $600 or less:

We solve for t:

Thus, the computer be worth $600 or less after 8 years.

The extreme value is a maximum at the point (0, 24).

What is function ?

Function can be defined in which it relates an input to output.

The given function is f(x) = 24 - x^2.

To find the extreme value(s) of the function, we need to take the derivative of the function and set it equal to zero. The derivative of f(x) is f'(x) = -2x.

Setting f'(x) = 0, we get:

-2x = 0

x = 0

To determine whether the extreme value at x = 0 is a maximum or a minimum, we need to look at the sign of the second derivative of the function, f''(x) = -2.

Since f''(0) = -2 is negative, the function has a maximum at x = 0.

To find the value of the maximum, we substitute x = 0 into the original function:

f(0) = 24 - 0^2 = 24

Therefore, the true statement about the extreme value of the function f(x) = 24 - x^2 is:

A. The extreme value is a maximum at the point (2, 48).

This is not a correct answer, as the maximum occurs at x=0, and the corresponding y-value is 24. So, the correct statement is:

Therefore, The extreme value is a maximum at the point (0, 24).

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Answer:

\(S_{45}\) = 9000

Step-by-step explanation:

there is a common difference between consecutive terms , that is

11 - 2 = 20 - 11 = 9

this indicates the sequence is arithmetic with nth term

\(S_{n}\) = \(\frac{n}{2}\) [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

here a₁ = 2 and d = 9 , then

\(S_{45}\) = \(\frac{45}{2}\) [ (2 × 2) + (44 × 9) ]

    = 22.5(4 + 396)

    = 22.5 × 400

    = 9000

The equation of the axis of symmetry of the parabola is equal to x = 4.

In this problem we find the representation of a parabola whose axis of symmetry is parallel with y-axis. The axis of symmetry passes through the vertex of the parabola. The definitions of the vertex and the axis of symmetry are, respectively:

Vertex

(x, y) = (h, k)

Axis of symmetry

x = h

If we know that h = - 4, then the equation of axis of symmetry is x = 4.

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Answer:

interest rate is .000951667 and total interest gained is 47.98 and total money in the bank account is 2147.98

Step-by-step explanation:

you have to find the interest rate then multiply it by 1 year then put it to the power of 24. 24 because you have 34 months in 2 years

The y-intercept of the graph of the equation y = 6 (x - 0.5) (x + 3) will be negative 9.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The parabolic equation of the function is given below.

y = 6 (x - 0.5) (x + 3)

Then the y-intercept of the graph of the equation y = 6 (x - 0.5) (x + 3) will be

We know that for the y-intercept, the value of x is zero. Then we have

y = 6 (x - 0.5) (x + 3)

y = 6 (0 - 0.5)(0 + 3)

y = 6 (-0.5)(3)

y = -9

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The correct option is:

d) Median is a better measure of central tendency

When a graph of a distribution of data is symmetric, it means that the left and right sides of the graph are mirror images of each other. This indicates that the data is evenly distributed around the center and that there are no extreme outliers. In such cases, the median is the best measure of central tendency, because it is the middle value of the dataset and it represents the center of the data distribution. The median is not affected by outliers.

The mean, mode, and midrange are also measures of central tendency, but they may not be as representative of the center of the data distribution when the data is symmetric. The mean is sensitive to outliers, the mode is the value that appears most frequently in the data, and the midrange is the average of the maximum and minimum values.

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To find the exact value of (7π/6) using the unit circle, locate the angle (π/6) on the unit circle in the second quadrant, determine the coordinates, and adjust the y-coordinate to be negative. The final answer is (√3/2, -1/2). This answer is obtained by understanding the reference angle and using the coordinates of the point where the angle intersects the unit circle.

To find the exact value of (7π/6) using the unit circle, follow these steps:

1. Start by understanding the reference angle. The reference angle for (7π/6) is (π/6).

2. Locate the angle (π/6) on the unit circle. This angle lies in the second quadrant.

3. Determine the coordinates of the point where the angle intersects the unit circle. For (π/6), the x-coordinate is √3/2 and the y-coordinate is 1/2.

4. Since (7π/6) lies in the second quadrant, the x-coordinate will remain the same, but the y-coordinate will be negative. Therefore, the coordinates for (7π/6) are (√3/2, -1/2).

5. The exact value of (7π/6) is (√3/2, -1/2).

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The slope of the line is

\($y'\left(\frac{3\pi}4\right) = 9\cos\left(\frac{3\pi}4\right) = 9 \cdot \frac{-1}{\sqrt2} = \frac{-9}{\sqrt2} = \frac{-9\sqrt2}2,$\)

And it must intersect the point \((3\pi/4,\,9\sqrt2/2)\). So the equation (point-slope form) is

\($y - \frac{9\sqrt2}{2} = \frac{-9\sqrt2}2\left(x - \frac{3\pi}4\right)$\)

How ugly.

The amount of Bruno's yearly pay deducted for FICA is approximately

A. $4,524.15. The closest option provided is A. $4521.15.

To calculate the amount of FICA deducted from Bruno's yearly pay, we need to consider the specific FICA tax rates for Social Security and Medicare.

As of 2021, the Social Security tax rate is 6.2% on income up to a certain threshold, and the Medicare tax rate is 1.45% on all income.

Given that Bruno's gross income per pay period is $4925 and he is paid monthly, we can calculate the yearly gross income as follows:

Yearly gross income = $4925 * 12 = $59,100

To calculate the FICA deduction, we need to find the sum of the Social Security and Medicare taxes. Using the respective tax rates mentioned earlier:

Social Security deduction = $59,100 * 6.2% = $3,667.20

Medicare deduction = $59,100 * 1.45% = $856.95

Adding these two deductions together:

FICA deduction = $3,667.20 + $856.95 = $4,524.15

Therefore, the amount of Bruno's yearly pay deducted for FICA is approximately $4,524.15.

The closest option provided is A. $4521.15.

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