Consider the following stocks: • Stock A is expected to pay a dividend of £4 forever; • Stock B is expected to pay a dividend of £2 next year, £2.50 in year 2, with dividend growth expected to be 3% per annum thereafter. If the required return on similar equities is 9%, calculate the price of each stock.

Answer:

25 degrees

Step-by-step explanation:

Angles on a line add up to 180

180-50=130

angles in a triangle add up to 180

An isosceles triangle has two equal angles

180-130=50

50/2=25

25 degrees

Answer:

No, he can't use the independent-samples t test

Step-by-step explanation:

An independent samples t test is one where the means of two independent groups are compared in order to find out if there is statistical evidence that shows if there is any significant difference in the associated population means of the samples being researched.

Now, in this question, one group sample which is "gender" is independent while the other one which is "religious preferences" is dependent. Since they are both not independent, it does not fit into the definition of the independent-samples t test defined above where both have to be independent.

Thus, this method can't be used for the research in the question.

Answer:

d. 7.5 cm²

Step-by-step explanation:

Area of sector = central angel/360 × πr²

Central angle = 180° - 84° = 96° (supplementary angles)

BA = radius (r) = ½(6) = 3 cm

Plug in the values

Area of sector = 96/360 × π*3²

= 7.53982238

= 7.5 cm² (nearest tenth)

Step-by-step explanation:

Given: [∀x(L(x) → A(x))] →

[∀x(L(x) ∧ ∃y(L(y) ∧ H(x, y)) → ∃y(A(y) ∧ H(x, y)))]

To prove, we shall follow a proof by contradiction. We shall include the negation of the conclusion for

arguments. Since with just premise, deriving the conclusion is not possible, we have chosen this proof

technique.

Consider ∀x(L(x) → A(x)) ∧ ¬[∀x(L(x) ∧ ∃y(L(y) ∧ H(x, y)) → ∃y(A(y) ∧ H(x, y)))]

We need to show that the above expression is unsatisfiable (False).

¬[∀x(L(x) ∧ ∃y(L(y) ∧ H(x, y)) → ∃y(A(y) ∧ H(x, y)))]

∃x¬((L(x) ∧ ∃y(L(y) ∧ H(x, y))) → ∃y(A(y) ∧ H(x, y)))

∃x((L(x) ∧ ∃y(L(y) ∧ H(x, y))) ∧ ¬(∃y(A(y) ∧ H(x, y))))

E.I with respect to x,

(L(a) ∧ ∃y(L(y) ∧ H(a, y))) ∧ ¬(∃y(A(y) ∧ H(a, y))), for some a

(L(a) ∧ ∃y(L(y) ∧ H(a, y))) ∧ (∀y(¬A(y) ∧ ¬H(a, y)))

E.I with respect to y,

(L(a) ∧ (L(b) ∧ H(a, b))) ∧ (∀y(¬A(y) ∧ ¬H(a, y))), for some b

U.I with respect to y,

(L(a) ∧ (L(b) ∧ H(a, b)) ∧ (¬A(b) ∧ ¬H(a, b))), for any b

Since P ∧ Q is P, drop L(a) from the above expression.

(L(b) ∧ H(a, b)) ∧ (¬A(b) ∧ ¬H(a, b))), for any b

Apply distribution

(L(b) ∧ H(a, b) ∧ ¬A(b)) ∨ (L(b) ∧ H(a, b) ∧ ¬H(a, b))

Note: P ∧ ¬P is false. P ∧ f alse is P. Therefore, the above expression is simplified to

(L(b) ∧ H(a, b) ∧ ¬A(b))

U.I of ∀x(L(x) → A(x)) gives L(b) → A(b). The contrapositive of this is ¬A(b) → ¬L(b). Replace

¬A(b) in the above expression with ¬L(b). Thus, we get,

(L(b) ∧ H(a, b) ∧ ¬L(b)), this is again false.

This shows that our assumption that the conclusion is false is wrong. Therefore, the conclusion follows

from the premise.

15

Answer:

1. 1

2. 1/3

Explanation:

1.  6(4 - 5) ÷ 2(-3)

= 6(4−5) ÷ (2)(-3)

= 6(-1) ÷ (2)(-3)

= -6 ÷ (2)(-3)

= -6 ÷ -6

final answer = 1

2.  1/4 ÷ 3/4

1/4 ÷ 3/4 ---> 1/4 ÷ 4/3 (reciprocal method)

(change the operation to multiplication)

1/4 × 4/3 (multiply)

1/4 × 4/3 = 4/12 (we aren't done yet.. we still need to simplify/reduce 4/12)

4/12 ----> 2/6 ----> 1/3. (final answer)

Answer:

1/4

Step-by-step explanation:

Skateboards  : wheels

12                    :     48

Divide each part by 12

12/12              :    48/12

1                       :4

[tex]\huge\mathbb{\fcolorbox{red}{lavenderblush}{✰Answer}}[/tex]

There are Twelve skateboards have 48 wheels.,

we need to find the ratio of skateboards to wheels, in simplest form;

Hence,

Ratio of skateboard to wheel

Step-by-step explanation:

de hecho, la respuesta está en la imagen de arriba

Answer:

a. 341.902.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

n instances of a normal variable:

For n instances of a normal variable, the mean is [tex]n\mu[/tex] and the standard deviation is [tex]s = \sigma\sqrt{n}[/tex]

60 days, for each day, mean 6, variance of 12.

So

[tex]\mu = 60*6 = 360[/tex]

[tex]s = \sqrt{12}\sqrt{60} = 26.8328[/tex]

What is the 25th percentile of her total wait time over the course of 60 days?

X when Z has a p-value of 0.25, so X when Z = -0.675.

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]-0.675 = \frac{X - 360}{26.8328}[/tex]

[tex]X - 360 = -0.675*26.8328[/tex]

[tex]X = 341.902[/tex]

Thus, the correct answer is given by option A.

Answer:

F(-2)= g(-2)

Step-by-step explanation:

F(-2)= g(-2), both function have the same points of intersect.

Answer:

38

Step-by-step explanation:

3x + 2y when X=10 and y=4

3(10) + 2(4)

30 + 8

38

Answer:

[tex] \frac{ {2}^{4} }{ {2}^{ - 4} } \\ = {2}^{4} . {2}^{4} \\ = {2}^{8} \\ = 256[/tex]

Answer:

2⁸

Step-by-step explanation:

2⁴ ÷ 2⁻⁴ = 2⁸

if the bases are the same and you're dividing then you subtract the exponents

Answer: y=(x-5)^2-16

Answer:

Step-by-step explanation:

First, we need to use the formula -b/2a.

We get 10/2 which equals 5.

Now we have our x-coordinate. Now we need to find out y-coordinate. We have to plug 5 back in as x to get the y-variable.

5^2 - 10(5) + 9

25 - 50 + 9

34 - 50

-16

Now that we have our x and y coordinates, we can make our vertex.

(5,-16)

Finally, we need to put this into vertex form. We see that the vertex form is y = a(x-h)^2 + k. We plug the x variable into the h value and the y variable into the k value. We don't need the a variable because we are only looking for the vertex and the vertex form.

y = (x-5)^2 - 16

Walah! There is our answer!

Answer:

Area= 2(x^2 + 4)

Perímetro=6x + 8

Step-by-step explanation:

Ancho = x

Longitud = 2x + 4

Area= ancho × longitud

Area= x × 2x + 4

Area= 2x^2 + 4

Area= 2(x^2 + 4)

Perímetro= ancho+ancho+longitud+longitud

Perímetro=2ancho + 2longitud

Perímetro=2(x) + 2(2x+4)

Perímetro=2x + 4x + 8

Perímetro=6x + 8

Answer:

72 ft.

Step-by-step explanation:

In this problem, we are looking for the perimeter of the kennel. The perimeter of a rectangle has the formula, [tex]P=2l+2w[/tex], where l represents the length of the rectangle and w represents the width of the rectangle. We are given both the length and the width (or simply the two sides) of the rectangle, and all we need to do is plug it into the formula!

[tex]P=2*22+2*14\\P=44+28\\P=72[/tex]

Therefore, it would require 72 ft. of fencing to enclose the kennel.

I hope this helps! Let me know if you have any questions :)

[tex]\frac{2}{5}[/tex] ÷ 4 = [tex]\frac{2}{5}[/tex] ÷ [tex]\frac{4}{1}[/tex] = [tex]\frac{2}{20} =\frac{1}{10}[/tex]

[tex]\frac{6}{7}[/tex] ÷ 3 = [tex]\frac{6}{7}[/tex] ÷ [tex]\frac{3}{1}[/tex] = [tex]\frac{6}{21}=\frac{2}{7}[/tex]

[tex]\frac{1}{8}[/tex] ÷ 9 = [tex]\frac{1}{8}[/tex] ÷ [tex]\frac{9}{1}[/tex] = [tex]\frac{1}{72}[/tex]

[tex]\frac{5}{6}[/tex] ÷ 5 = [tex]\frac{5}{6}[/tex] ÷ [tex]\frac{5}{1}[/tex] = [tex]\frac{5}{30} =\frac{1}{6}[/tex]

Hi there!  

»»————-　★　————-««

I believe your answer is:  

There is no solution to the equation.  

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\-3(4x-6)=7-12x\\-------------\\\rightarrow -12x+18 = 7 - 12x\\\\\rightarrow -12x + 18 - 18 = 7 - 18 -12x\\\\\rightarrow -12x=-12x-11\\\\\rightarrow-12x+12x = -12x+12x - 11\\\\\rightarrow 0 = -11\\\\\boxed{\text{This is a \underline{contradiction}. There is no solution.}}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

yes that are similar

Step-by-step explanation:

because the angles are both 50 degrees

similarity statement:

triangle DEF= triangle JEH

hope that helps bby<3

The top part is the areas of the rooms in feet. You need to find the inches instead. Multiply them by 12.

20 x 12

20 x 12= 240

12 x 12=144

So the first one will be:

240 x 144

Second:

96 x 96

Third:

96 x 114

Fourth:

240 x 196

Fifth:

240 x 240

Sixth:

120 x 240

Answer: 39

Step-by-step explanation: the distance is always positive, 39 + 0 = 39

Answer:

39

Step-by-step explanation:

39 is 39 numbers away from zero. it really doesn't get simpler.

Answer: The mininum percentage of recent graduates is 88.9%

Step-by-step explanation:

We are given:

Mean value = $24,800

Standard deviation = $1100

Minimum value of salary = %21,500

Maximum value of salary = %28,100

The equation for Chebyshev's Theorem is given by:

[tex]\%=1-\frac{1}{k^2}[/tex]           .....(1)

To calculate the value of 'k', we first subtract the mean value from the maximum value.

⇒ [28,100 - 24,800] = 3300

Secondly, dividing the above-calculated value by the standard deviation, we get:

[tex]\Rightarrow \frac{3300}{1100}=3=k[/tex]

Putting value of 'k' in equation 1, we get:

[tex]\%=1-\frac{1}{3^2}\\\\\%1-\frac{1}{9}\\\\\%=\frac{8}{9}=88.9\%{[/tex]

Hence, the mininum percentage of recent graduates is 88.9%

Given:

The expression is:

[tex]25-10\div 2+3[/tex]

To find:

Part A: The expression using parentheses so that the expression equals 23.

Part B: The expression using parentheses so that the expression equals 3.

Solution:

Part A:

In option A,

[tex](25-10)\div 2+3=15\div 2+3[/tex]

[tex](25-10)\div 2+3=7.5+3[/tex]                       [Using BODMAS]

[tex](25-10)\div 2+3=10.5[/tex]

In option B,

[tex]25-10\div (2+3)=25-10\div 5[/tex]

[tex]25-10\div (2+3)=25-2[/tex]                      [Using BODMAS]

[tex]25-10\div (2+3)=23[/tex]

In option C,

[tex](25-10)\div (2+3)=15\div 5[/tex]

[tex](25-10)\div (2+3)=3[/tex]

In option D,

[tex]25-(10\div 2)+3=25-5+3[/tex]

[tex]25-(10\div 2)+3=28-5[/tex]                     [Using BODMAS]

[tex]25-(10\div 2)+3=23[/tex]

After the calculation, we have [tex]25-10\div (2+3)=23[/tex] and [tex]25-(10\div 2)+3=23[/tex].

Therefore, the correct options are B and D.

Part B: From part A, it is clear that

[tex](25-10)\div (2+3)=3[/tex]

Therefore, the correct option is C.

Step-by-step explanation:

14 For which equation is the solution set {-5,2}?. 15 Which equation has the same solutions as. 2x. 2 + x - 3 = 0.

Answer:

[tex]113.10[/tex]

Step-by-step explanation:

The area of a sector with measure [tex]\theta[/tex] and radius [tex]r[/tex] is given by [tex]A_{sec}=r^2\pi\cdot \frac{\theta}{360^{\circ}}[/tex].

What we're given:

Substituting given values, we get:

[tex]A_{sec}=12^2\pi\cdot \frac{90}{360},\\\\A_{sec}=144\pi\cdot \frac{1}{4},\\\\A_{sec}\approx \boxed{113.10}[/tex]

Answer:

A =420 cm^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the length of the base and h is the height

A = 1/2 ( 24) * 35

A =420 cm^2

Answer:

The area of triangle is 420 cm ².

Step-by-step explanation:

Area of triangle = 1/2 × base × height

Using Formula

Area of triangle = 1/2 × base × height

substitute the values into the formula

Area of triangle = 1/2 × 24 cm × 35 cm

multiply,

Area of triangle = 1/2 × 840 cm ²

Divide, we get

Area of triangle = 420 cm ²

Therefore, The area of triangle is 420cm².

Answer:

Point estimate of the corresponding population mean = $8,213

Step-by-step explanation:

Given:

Average cost of a wedding reception (x) = $8,213

Total number of sample (n) = 450

Standard deviation = $2185

Find:

Point estimate of the corresponding population mean

Computation:

Average cost of a wedding reception (x) = Point estimate of the corresponding population mean

Point estimate of the corresponding population mean = $8,213

====================================================

Work Shown:

0.95% = (0.95)/100 = 0.0095

0.95% of 100,000 = 0.0095*(100,000) = 950

We expect about 950 games will be defective.

Answer:

A: 950

Step-by-step explanation: