Answer:
£44.44
£40.06
Step-by-step explanation:
Stock A
Price of a perpetual dividend payment = dividend / required return
4 / 0.09 = 44.44
Stock B
price is equal to the present value of the dividend
Value in the second stage of constant growth =( 2.5 x 1.03) / (0.09 - 0.03) = 42.92
Cash flow in year 1 = 2
cash flow in year 2 = 2.5 + 42.92
I = 9%
PV = 40.06
To find the PV using a financial calculator:
1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.
2. after inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.
3. Press compute
What is the distance of 39 from zero? Hellpppppppp
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.
Ayuda plissss no entiendo es para hoy no mañana
[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]
Evaluate the expression:
3x + 2y when X=10 and y=4
Answer:
38
Step-by-step explanation:
3x + 2y when X=10 and y=4
3(10) + 2(4)
30 + 8
38
Encuentra el resultado de la ecuación mediante la formula general
Step-by-step explanation:
de hecho, la respuesta está en la imagen de arriba
Anyone no how to do this?..
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
Suppose that salaries for recent graduates of one university have a mean of $24,800 with a standard deviation of $1100. Using Chebyshev's Theorem, what is the minimum percentage of recent graduates who have salaries between $21,500 and $28,100
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%
Shown below is a blueprint for a rectangular kennel at a pet hotel.
The blueprint of the rectangular kennel shows one side is 22 feet and another side is 14 feet.
What is the total length of fencing needed to enclose the kennel?
The total length needed is blank feet.
The solution is
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 :)
How many cards does each friend have? See image below
What is the measure of angle HBE?
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
Pleaseeee helpppp hdhdbddh
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)
EI NHS de Evergreen está diseñando un nuevo jardín.
El jardín será un rectángulo. Sea x el ancho del jardín.
La longitud del jardín será el doble del ancho más 4 pies.
Calcula el área y el perímetro del jardín.
¿Cuál es la expresión de la longitud?
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
Which value is an input of the function?
-14
O-2
o
ОО
4.
Determine whether the triangles are similar. If so, write a similarity
statement.
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
A researcher is interested in whether there are significant differences between men and women and religious preferences. In planning his hypothesis tests, the researcher identified gender as the independent variable and religious preferences (e.g., Catholic, Protestant, Jewish) as his dependent variable. Can the researcher use an independent-samples t test to test his hypothesis
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.
Graph the linear function y= -x + 3.
Find the area of the triangle.
35 cm
24 cm
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:
Given : -Base of triangle = 24 cmHeight of triangle = 35 cmTo Find :-Area of triangleFormula Used :-Area of triangle = 1/2 × base × height
Solution :-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.
Put the quadratic into vertex form and state the coordinates of the vertex.
y = x2 – 10x + 9
What is the vertex form?
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!
For which equation is the solution set {-5,2}? *
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.
According to a bridal magazine, the average cost of a wedding reception for an American wedding is $8213. Assume that the average is based on a random sample of 450 weddings and that the standard deviation is $2185.a. What is the point estimate of the corresponding population mean
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
Prove the formula that:
((∃x)(F(x)∧S(x))→(∀y)(M(y)→W(y)))∧((∃y)(M(y)∧¬W(y)))
⇒(∀x)(F(x)→¬S(x))
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
NO LINKS OR ELSE YOU'LL BE REPORTED! Only answer if you're very good at Math.No guessing please.
A company manufactures video games with a current defect rate of 0.95%.To make sure as few defective video games are delivered as possible,they are all tested before delivery.The test is 98% accurate at determining if a video game is defective.If 100,000 products are manufactured and delivered in a month, approximately how many defective products are expected to be delivered?
A: 950
B: 2,000
C: 20
D: 50
====================================================
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:
Every day, Luann walks to the bus stop and the amount of time she will have to wait for the bus is between 0 and 12 minutes, with all times being equally likely (i.e., a uniform distribution). This means that the mean wait time is 6 minutes, with a variance of 12 minutes. What is the 25th percentile of her total wait time over the course of 60 days?
a. 341.902.
b. 349.661.
c. 363.372.
d. 378,099.
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.
What is the approximate sector area of a sector defined by minor arc CB?
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)
In circle N with m
See diagram below
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:
[tex]r[/tex] of 12[tex]\theta[/tex] of [tex]90^{\circ}[/tex]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]
Help meeeee and plz get it right
Which state ment is true regarding the graphed function
F(4)= g(4)
F(4)= g(-2)
F(2)= g(-2)
F(-2)= g(-2)
Answer:
F(-2)= g(-2)
Step-by-step explanation:
F(-2)= g(-2), both function have the same points of intersect.
Consider the expression 25 – 10 ÷ 2 + 3.
Part A
Which shows a way to rewrite the expression using parentheses so that the expression equals 23?
Select all that apply.
A. (25 – 10) ÷ 2 + 3 = 23
B. 25 – 10 ÷ (2 + 3) = 23
C. (25 – 10) ÷ (2 + 3) = 23
D. 25 – (10 ÷ 2) + 3 = 23
Part B
Which shows a way to rewrite the expression using parentheses so that the expression equals 3?
A. (25 – 10) ÷ 2 + 3 = 3
B. 25 – 10 ÷ (2 + 3) = 3
C. (25 – 10) ÷ (2 + 3) = 3
D. 25 – (10 ÷ 2) + 3 = 3
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.
What is the quotient of ? 2^4/2^-4
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
-3(4x-6)=7-12x(solve)(show work)
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.
Twelve skateboards have 48 wheels. What is the value of the ratio of skateboards to wheels, in simplest form? A. 1/4 B. 4/12 C. 12/48 D. 16/20
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
[tex]\sf{\dfrac{skateboard}{wheels} }[/tex] [tex]\sf{\dfrac{12}{48} }[/tex] [tex]\sf{\dfrac{\cancel{12}^{^{1}}}{\cancel{48}_{_{4}}} }[/tex] [tex]\bold{\dfrac{1}{4} }[/tex]