IS THIS CORRECT ???????

Answer:

See comment

Step-by-step explanation:

13 lawns

The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.

To determine the dividends per share for preferred and common stock for each year, we need to divide the total dividends by the number of shares for each type of stock.

Preferred Stock:

Dividends per share of preferred stock = Total dividends for preferred stock / Number of preferred shares

Year 1:

Dividends per share of preferred stock for Year 1 = $50,000 / 40,000 shares = $1.25

Year 2:

Dividends per share of preferred stock for Year 2 = $90,000 / 40,000 shares = $2.25

Year 3:

Dividends per share of preferred stock for Year 3 = $130,000 / 40,000 shares = $3.25

Common Stock:

Dividends per share of common stock = Total dividends for common stock / Number of common shares

Year 1:

Dividends per share of common stock for Year 1 = ($50,000 - Total dividends for preferred stock) / 100,000 shares = ($50,000 - $50,000) / 100,000 shares = $0

Year 2:

Dividends per share of common stock for Year 2 = ($90,000 - Total dividends for preferred stock) / 100,000 shares = ($90,000 - $90,000) / 100,000 shares = $0

Year 3:

Dividends per share of common stock for Year 3 = ($130,000 - Total dividends for preferred stock) / 100,000 shares = ($130,000 - $130,000) / 100,000 shares = $0

The dividends per share for preferred stock for each year are: Year 1 - $1.25, Year 2 - $2.25, Year 3 - $3.25. The dividends per share for common stock for each year are all $0.

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The domain and range of the function f of x are equal to : (C) D: {x ∊ ℝ | x ≠ −2}; R: {y ∊ ℝ | y ≠ 1}

A Domain can be defined as the values or numbers that are accepted or allowed in a particular function.

A domain is very important when dealing with a function.

In conclusion, The domain and range of the function f of x are equal to (C) D: {x ∊ ℝ | x ≠ −2}; R: {y ∊ ℝ | y ≠ 1}

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Answer:

what numbers do you need answering??

Step-by-step explanation:

The amount you will have $6,500 with 5% in six years using continuous compounding is of:

$8,774.

The amount you will need to have the entire $32000 in the 6 years is of:

$18,890.46.

The balance of an account after t years, using continuous compounding, is given as follows:

\(B(t) = Pe^{kt}\)

In which the parameters are given as follows:

Putting the $6,500 into the account, the values of the parameters are given as follows:

P = 6500, k = 0.05, t = 6.

Hence the balance will be of:

B(6) = 6500 x e^(0.05 x 6) = $8,774.

The balance to have the entire $32,000, considering what you already have, will be of:

32000 - 6500 = 25500

Hence the principal is obtained as follows:

Pe^(0.05 x 6) = 25500

P = 25500/e^(0.3)

P = $18,890.46.

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Answer:

sept one

Step-by-step explanation:

Answer:

Two or more lines are parallel when they lie in the same plane and never intersect. ... Skew lines are lines that are in different planes and never intersect. The difference between parallel lines and skew lines is parallel lines lie in the same plane while skew lines lie in different planes.

Step-by-step explanation:

hope it helps ^^

As the point moves along the helix, it traces out a three-dimensional surface in space.The space curve would look like a helix in graph.

1. First, we need to find the vector-valued function r(t) using the given parameter.

2. We can use the parameter x+z=2 to solve for the y-coordinate in terms of t:

y = √(4 − (1+sin t)2 − (1 − sin t)2).

3. We can now substitute this expression into the vector-valued function to obtain:

r(t) = (1+sin t)i+ (√(4 − (1+sin t)2 − (1 − sin t)2))j+ (1-sin)k

4. The space curve represented by the intersection of the surfaces is a helix in a graph.

The space curve represented by the intersection of the surfaces is a helix. It is a three-dimensional curve that can be described by a vector-valued function r(t) with parameter t. The vector-valued function r(t) is given by:

r(t) = (1+sin t)i+ (√(4 − (1+sin t)2 − (1 − sin t)2))j+ (1-sin)k.

The helix can be visualized as a spiral that wraps around a cylinder and is generated by a point travelling around the circumference of the cylinder at a constant speed. This can be observed by noting that the x- and z-coordinates of the vector-valued function are constant and only the y-coordinate changes over time. As the point moves along the helix, it traces out a three-dimensional surface in space.

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Answer:

Where is the expresion ??

Step-by-step explanation:

Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

To determine the average speed at which Sphenathi and the other matriculants must travel to reach Uptington by 09:45, we need to calculate the time available for the journey and the distance between the two locations.

The time available is from 07:25 to 09:45, which is a total of 2 hours and 20 minutes. We need to convert this time to hours by dividing by 60:

2 hours + 20 minutes / 60 = 2.33 hours

Now, let's calculate the distance between Bloemfontein and Uptington. Suppose the distance is 'd' kilometers.

We can use the formula for average speed: average speed = distance / time

In this case, the average speed should be such that the distance divided by the time is equal to the average speed.

d / 2.33 = average speed

Now, let's assume that Sphenathi and the other matriculants must travel a distance of 250 kilometers to reach Uptington. We'll substitute this value into the equation:

250 / 2.33 = average speed

To find the average speed to the nearest km/h, we'll calculate the result:

average speed ≈ 107.3 km/h

Therefore, Sphenathi and the other matriculants must travel at an average speed of approximately 107 km/h to reach Uptington by 09:45.

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The order of the group generated by a and b under matrix multiplication is a^2b^3.

Start with the identity matrix:

I = [1 0 ; 0 1]

Multiply it by a:

a*I = [1 1; 0 1]

Multiply it by b:

b*a*I = [1 2; 0 1]

Multiply it by a:

a*b*a*I = [2 3; 0 1]

Multiply it by b:

b*a*b*a*I = [2 5; 0 1]

Multiply it by a:

a*b*a*b*a*I = [4 3; 0 1]

Therefore, the order of the group generated by a and b is a^2b^3.

The order of the group generated by a and b under matrix multiplication is a^2b^3.

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Answer:

number 3 the answer

Step-by-step explanation:

Answer:

AC = 13.3

Make proportional relationship:

\(\dfrac{\text{AB}}{\text{AC}} =\dfrac{\text{AM}}{\text{AN}}\)

Insert values

\(\rightarrow\dfrac{10}{\text{AC}} =\dfrac{6}{8}\)

Cross multiply

\(\rightarrow \text{AC}=\dfrac{10(8)}{6}\)

Simplify

\(\rightarrow \text{AC}=13.3\)

The value of s(2) = 15 feet, and Change in position is 33 feet

To find the change in position over the time interval (0,4), we need to find the difference between the position at t=4 and the position at t=0:

Change in position = s(4) - s(0)

To find s(4), we can integrate the velocity function v(t):

v(t) = ds/dt

4t + 1 = ds/dt

ds = (4t + 1) dt

∫ds = ∫(4t + 1) dt

s = 2t² + t + C

where C is the constant of integration. We can find C by using the initial position s(0):

s(0) = 2(0)² + 0 + C

C = 7

Therefore, the position function is:

s(t) = 2t² + t + 7

Now we can find the change in position over the time interval (0,4):

Change in position = s(4) - s(0)

= (2(4)² + 4 + 7) - (2(0)² + 0 + 7)

= 33 feet

If the initial position is s(0) = 3, we can use the same position function:

s(t) = 2t² + t + 3

To find s(2), we just plug in t=2:

s(2) = 2(2)² + 2 + 3

= 15 feet

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Answer:

Roberto can buy 7 videogames.

Step-by-step explanation:

Given that Roberto has $ 200 in spending money and he wants to buy some video games that cost $ 25.50 each, to determine the number of games he can buy, the following inequality must be resolved:

25.50X = 200

X = 200 / 25.50

X = 7.84

Thus, since the whole number is 7, with $ 200 you can buy 7 video games, and there will be $ 21.5 (200 - 178.5) left over.

The girl which is correct between kate and her friend Margo is Margo.

The correct answer option is option B

If each friend gets the same number of pens;

Number of pens each friend get = Number of pens Kate has / Number of Kate's friends

= 63 / 9

= 7

Check:

Number of pens each friend get × Number of Kate's friends = Number of pens Kate has

7 × 9 = 63

Therefore, Kate's friend, Margo is correct.

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Answer:

Step-by-step explanation:

To calculate the probability of winning any amount of money, we need to sum up the probabilities of winning each individual prize.

Given the probabilities stated on the game card:

Probability of winning $10 prize = 0.2

Probability of winning $5 prize = 0.1

Probability of winning $0 prize = 0.7

To find the probability of winning any amount of money, we add these probabilities together:

0.2 + 0.1 + 0.7 = 1

The sum of the probabilities is 1, which indicates that the total probability of winning any amount of money is 1 or 100%.

Therefore, the probability of winning any amount of money in this game is 100%.

Hope this answer your question

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Answer:

A general linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept (the point at which the line intersects the y-axis).

In this case, we know that the line should intersect the y-axis (the vertical one) at y = 3 (in the point (0, 3))

And the slope is -3, then the equation of the line is:

y = -3*x + 3

To graph this line the general way is to find two points of the line.

So we need to evaluate the function in two different values of x.

In this case, we already know that the line passes through the point (0,3), then we only need to find another point.

To do it, we can just replace the x-value for a value we want, like x = 1

Then the y-value will be:

y = -3*(1) + 3 = -3 + 3 = 0

Then we also have the point (1, 0).

Now that we have two points, we can graph them and draw a line that connects the point, that line is the graph of our linear equation.

An example of this can be seen below.

Answer:

It is counter clockwise

Step-by-step explanation:

The description of the transformation from f(x) = 3x + 7 to g(x) = 8x + 7 will be counterclockwise rotation.

The equation of line is given as

y = mx + c

Where m is the slope and c is the y-intercept.

The equations are given below.

f(x) = 3x + 7  and g(x) = 8x + 7

The slope of f(x) is 3 and the slope of g(x) is 8.

It is clear that the slope is increased, then the line rotates counterclockwise about the y-intercept.

Then the correct option is D.

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Answer:

C

Step-by-step explanation:

When we do 30=y/3 we get 90 because of the fraction symbol and its says in the problem 3 times as much so more not less so 3x30 equals 90 so we already take out A and B and when there is nothing but a simple equation like 30=3 we dived so it cant be D Ethier so its C

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Problem

The perimeter of a rectangle is less than 10 inches. The length is x and the width is x - 5. If the solution is x<5, ThEn the length is less than 5. Is this viable solution.

Solution

For this case the perimete rof a rectangle is given by:

P= 2x+2y

x= lenght y = width

And we also know that y= x-5

And replacing the condition given: P<10 we got:

2x +2y <10

2x +2(x-5)<10

4x -10 >10

And we can rewrite as:

4x >20

x>5

So then the best answer would be:

B. non viable

Answer:

33, 34

Step-by-step explanation:

the problem statement is competent confusing. is that really what your teacher asked you ?

adding two even integer numbers (it did not matter which ones) always result in an even number.

67 is uneven.

so it cannot be the result of 2 even numbers. "consecutive" or not. let alone the fact that 2 even numbers cannot actually be consecutive, because there is always an uneven number after each even number. but with some eyes closed one can understand that this could have meant "an even number and the next even number after that". but still, my first point is a real blocker.

so, I decided to ignore "even" and went for "two consecutive numbers".

x + (x+1) = 67

2x + 1 = 67

2x = 66

x = 33

x+1 = 34

The farmer should place the two fence pieces at an angle of 90 degrees (perpendicular) against the barn wall to maximize the area of the resulting triangular enclosure.

When all the sides are the same length, or when the object is genuinely a square, the area will be at its greatest for a given perimeter.

But a square is still a rectangle! Therefore, to find the length of each side if you know the perimeter, divide it by four. To get the area, multiply the length by the breadth.

For the problem, a right triangle with legs of equal length will have the maximum area among all right triangles with equal perimeter.

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The median, mean, range and mode will be 6, 5.4, 9 and 7.

What is median?

The median is the middle number in the data set when the data set is written from least to greatest.

The median is the number in the middle when arranged in an ascending order. The numbers will be:

0, 3, 4, 6, 6, 7, 7, 7, 9.

The median is 6.

The range is the difference between the highest and lowest number which is: = 9 - 0 = 9

The mode is the number that appears most which is 7.

The mean will be the average which will be:

= (0 + 3 + 4 + 6 + 6 + 7 + 7 + 7 + 9) / 9.

= 49/9

= 5.4

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The value of m + n is given as follows:

A. 18.

The exponential expression for this problem is defined as follows:

\((x^5y^6)^{\frac{1}{5}}(x^3y^4}^{\frac{1}{4}}\)

Applying the power of power rule, we have that the exponents are given as follows:

Then the values of m and n are given as follows:

m = 7, n = 11.

Thus the sum is given as follows:

m + n = 7 + 11 = 18.

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The distance from point A to point B is 2744.1 feet.

Define Trigonometric ratio

The ratios of the sides of a right triangle are called trigonometric ratios. Three common trigonometric ratios are the sine (sin), cosine (cos), and tangent (tan).

Given, horizontal distance = 1357 feet

Let h  = height of the lighthouse

tan(A) = perpendicular / base

where, perpendicular = h

base = 1357 feet

Angle is 9°

so now, put these value in trigonometric ratio

tan(9) = h / 1357

where, tan(9) = 0.1584

h = 1357 * 0.1584

h = 214.9 feet

Let d = distance from point B to the Lighthouse base

Angle is 3°

h = 214.9 feet

so, tan(3) = 214.9 / d

where, tan(3) = 0.0524

0.0524 = 214.9 / d

d = 214.9 / 0.0524

d = 4101.1 feet

Distance between point A to B = 4101.1 - 1357

                                                    = 2744.1 feet

Therefore, the distance from point A to point B is 2744.1 feet

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The value of the inequality |4x - 1| ≥ 23 will be

x ≥ 6.

It should be noted that the inequality given is expressed as:

|4x - 1| ≥ 23

This will be

|4x - 1| ≥ 23

4x ≥ 23 + 1

4x ≥ 24

Divide

4x/4 ≥ 24/4

x ≥ 6

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The quotient for both the parts are 9.375 and 175.01.

What is quotient?

In arithmetic, a quotient may be a amount created by the division of 2 numbers. The quotient has widespread use throughout arithmetic, and is usually brought up because the number a part of a division, or as a fraction or a quantitative relation.

Main body:

A) 3.75/ 0.4

 first removing the decimals,

= 375/ 40

=  9.375

B) 8750.50/50

same process of removing decimals,

= 8755050/ 5000

= 175.01

Hence the value of quotient for both the parts are 9.375 and 175.01.

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