Answer:
Net present value= $25.17
Step-by-step explanation:
We are told that The last dividend paid was $1.55 and that the dividend growth rate is constant at 1.5% for 2 years.
Thus;
1) After 1st year;
1.55 × (1 + 0.015) = 1.57325 Div1
After 2nd year;
1.57325 × (1 + 0.015) = 1.59685 Div2
After that 2 years it grows at 6% Constant rate forever;
1.59685 × (1 + 0.06) = 1.69266 Div3
Let's now use the dividend formula which grows in perpetuity at a rate of "g" since required return is 12%:
Thus;
V = 1.69266/(0.12 - 0.06) = 28.211
Thus; Div2 = 28.211 + 1.59685 ≈ 29.80785
Now, using the financial calculator of the Cash Flow function, we have:
Div0 = 0
Div1 = 1.57325
Div2 = 29.80785
i% = 12
Net present value = (1.57325/(1 + 0.12)) + ((1.59685 + 28.211)/(1 + 0.12)²)
Net present value= $25.17
if side of square is 4.05 find its area
Answer:
A
≈
16.4
please give brain listTranslate the following into an algebraic expression: If it would take Mark m hours to clean the house alone and with his brother Sam they can clean the house together in t hours. How many hours would it have taken Sam if he was working alone
if cosA=3√2/5,then show that cos2A=11/25
Answer:
Step-by-step explanation:
Cos 2A = 2Cos² A - 1
[tex]= 2*(\frac{3\sqrt{2}}{5})^{2}-1\\\\=2*(\frac{3^{2}*(\sqrt{2})^{2}}{5^{2}})-1\\\\=2*\frac{9*2}{25} - 1\\\\=\frac{36}{25}-1\\\\=\frac{36}{25}-\frac{25}{25}\\\\=\frac{11}{25}[/tex]
People think that that babies are equally likely to be either boys or girls. Actually, about 51.3% of all babies are boys. If a family has two children (not twins), what is the chance both children are boys
Answer:
26.32%
Step-by-step explanation:
The probability that both children are boys would be a sequence of events. Therefore, in order to calculate this we need to multiply the probability of the first baby being a boy with the probability of the second baby being a boy. Since the probability of any baby being a boy is 51.3%, we simply multiply this value in decimal form by itself.
51.3 / 100 = 0.513
0.513 * 0.513 = 0.263169 or 26.32%
The club will use the majority criterion method to determine the final winner. However, while finalizing the votes, a member of the club discovers that Mason did not meet the original criteria to be considered for the vacation package, because he is a county deputy, not a city police person, so Mason is eliminated from the votes. Who actually will win the tickets? Is the irrelevant alternative criterion supported in this case?
Answer and Explanation:
The irrelevant alternative criterion states that if two candidates A and B contest for an election and candidate B is preferred to candidate A then any other candidate X should not cause candidate A to win the election.
In this case if Mason was candidate A, then candidate B should still win by the majority criterion method and the irrelevant alternative criterion would still be supported. However if he is candidate B then the irrelevant alternative criterion is not supported.
A merchant keeps marble in a cylindrical plastic container that has a diameter of 28cm and height of 35cm. A marble has a diameter of 25mm. Determine the number of marbles that can be stored in such a container if air space accounts for 20% between marbles.
Answer:
2107 marbles can be stored in the container.
Step-by-step explanation:
Since a merchant keeps marble in a cylindrical plastic container that has a diameter of 28cm and height of 35cm, and a marble has a diameter of 25mm, to determine the number of marbles that can be stored in such a container if air space accounts for 20 % between marbles, the following calculation must be performed, knowing that the volume of a cylinder is equal to height x π x radius²:
35 x 3.14 x (28/2) ² = X
109.9 x (14 x 14) = X
109.9 x 196 = X
21,540.4 = X
In turn, the volume of each 25mm diameter marble is equal to:
25mm = 2.5cm
4/3 x 3.14 x 1.25³ = X
4.18666 x 1.953125 = X
8.1770 = X
21,540.4 x 0.8 = 17,232.32
17,232.32 / 8,177 = 2,107.41
Therefore, 2107 marbles can be stored in the container.
In a family of 3 children, what is the probability that there will be exactly 2 boys assuming that the sexes are equally likely to occur in each birth
Answer:
There is a 60.00 percent probability of a particular outcome and 40.00 percent probability of another outcome.
Help please. Need to get this right to get 100%
Answer:
Step-by-step explanation:
[tex]f(x) = \frac{4}{x}\\\\f(a) = \frac{4}{a}\\\\f(a+h) = \frac{4}{a+h}\\\\\frac{f(a+h) - f(a)}{h} = \frac{\frac{4}{a+h} - \frac{4}{a}}{h}[/tex]
[tex]=\frac{\frac{4(a)}{(a+h)a} - \frac{4(a+h)}{a(a+h)}}{h}\\\\=\frac{\frac{4a - 4a - 4h}{a(a+h)}}{h}\\\\=\frac{\frac{ - 4h}{a(a+h)}}{h}\\\\= \frac{-4h}{a(a+h) \times h}\\\\= -\frac{4}{a(a+h)}\\\\[/tex]
If the relationship is proportional, what is the missing value from the table
x
-12
-1
?
-10
-30
O-8
-6
-5
04
Given:
Consider the below figure attached with this question.
The table represents a proportional relationship.
To find:
The missing value from the table.
Solution:
If y is proportional to x, then
[tex]y\propto x[/tex]
[tex]y=kx[/tex] ...(i)
Where, k is a constant of proportionality.
The relationship passes through the point (-3,-1). Substituting [tex]x=-3,y=-1[/tex] in (i), we get
[tex]-1=k(-3)[/tex]
[tex]\dfrac{-1}{-3}=k[/tex]
[tex]\dfrac{1}{3}=k[/tex]
Putting [tex]k=\dfrac{1}{3}[/tex] in (i), we get
[tex]y=\dfrac{1}{3}x[/tex] ...(ii)
We need to find the y-value for [tex]x=-12[/tex].
Substituting [tex]x=-12[/tex] in (ii), we get
[tex]y=\dfrac{1}{3}(-12)[/tex]
[tex]y=-4[/tex]
Therefore, the missing value in the table is -4. Hence, option D is correct.
divide 64.050÷0.12. need whole process
Answer:
533.75
Step-by-step explanation:
Given the expression;
64.050÷0.12
Express first as a fraction
64.050 = 64050/1000
0.12 = 12/100
Divide both fractions
= 64050/1000÷12/100
= 64050/1000 *100/12
= 64050/10 * 1/12
= 64050/120
= 533.75
Hence the required answer is 533.75
Which proportion resulted in the equation 3a = 7b?
Hello!
3a = 7b =>
=> 3 × a = 7 × b =>
=> a/b = 7/3
Good luck! :)
How many cubes with side lengths of 1/2 cm does it take to fill the prism?
Answer:
24
Step-by-step explanation:
You first find out how many cubes can fit into each measurement, then multiply them. (2*4*3=24)
Answer:
It will take 24 cubes to fill the rectangular prism.
Step-by-step explanation:
Find the volume of a cube with side lengths of 1/2 cm:
1/2^3 = 1/8
1/8 cm^3
Find the volume of the whole rectangular prism (lwh):
1 x 3/2 x 2
= 3/2 x 2
= 3
3 cm^3
Divide the volume of the prism by the bolume of one cube:
3 ÷ 1/8 = 24
Therefore it will take 24 cubes to fill the prism. Hope this helps!
The owner of a busy coffee shop wanted to see if it was worth keeping tea on the menu. She logged the number of cups of tea she sold each day for seven days.
6 12 5 7 7 3 9
Calculate the mean, median, range, and midrange of the number of cups of tea sold for the week.
Answer:
mean = 7
median = 7
range = 9
mid range = 7.5
Step-by-step explanation:
3, 5, 6, 7, 7, 9, 12
Range is the difference between the highest and lowest values of a set of observations
Range = highest value - lowest value
12 - 3 = 9
Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order
3, 5, 6, 7, 7, 9, 12
median = 7
Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
(6 + 12 + 5 + 7+ 7 + 3 + 9) / 7 = 7
Mid range = (highest value + lowest value) / 2
(12 + 3) / 2 = 7.5
A research group at Nike decides to survey NCSU students for their preferences in clothing brands. They divide all students into groups according to the College they belong to (like College of Science, College of Architecture, etc.). Then they take a simple random sample of 50 students from EACH college. What kind of a sample is this
Answer:
Cluster sample
Step-by-step explanation:
i did it before
Categorize the following logical fallacy.
John Bardeen's work at the Advanced Institute for Physics has progressed so slowly that even his colleagues call him a plodder. Hence, it is prudent at present not to take seriously his current theory relating how strings constitute the smallest of subatomic particles.
a. Circular reasoning
b. False dilemma
c. Appeal to consequence
d. Ad hominem
e. Correlation implies causation
Answer:
d. Ad hominem
Step-by-step explanation:
A fallacy can be defined as a mistaken or false belief that are based on illogical arguments or reasoning.
However, a lot of people might actually think it to be true but it isn't. There are various types of fallacy, these include;
I. Black or white.
II. Non sequitur.
III. Appeal to moderation.
IV. Bandwagon.
V. Appeal to authority.
VI. Straw man.
VII. Oversimplification or hasty generalization.
VIII. Appeal to ignorance.
IX. Appeal to pity.
X. Ad hominem.
Ad hominem can be defined as a type of fallacy in which the motive, character, or some other aspect of a person is attacked rather than his or her position.
This ultimately implies that, Ad hominem is typically based on prejudices, emotions, or feelings rather than appealing to reason, intellect or substance.
In this scenario, John Bardeen's research work at the Advanced Institute for Physics has progressed so slowly that even his colleagues call him a plodder. As a result, the speaker concluded that it's prudent at present not to take seriously his current theory on how strings constitute the smallest of subatomic particles. Thus, the logical fallacy described above is an ad hominem because John's slowness in his research work is bone of contention for the speaker rather than analyzing and concentrating on his theory about strings.
Solve the equation 2sin^2(x) = 1 for x ∈ [-π,π], expressing all solutions as exact values. please help its urgent !!
Answer:
2sin.2(x) sd s
Step-by-step explanation:
Convert 0.53 hectograms to centigrams.
53 centigrams
0.000053 centigrams
530 centigrams
5,3000 centigrams
Answer:
As for metric prefixes, "hecto" means hundred and "centi" means hundredth.
So, converting .53 hectograms to centigrams requires multiplying it by 10,000.
So, .53 hectograms * 10,000 equals 5,300 centigrams.
Source http://www.1728.org/convprfx.htm
Step-by-step explanation:
SCALCET8 3.9.017.MI. Two cars start moving from the same point. One travels south at 48 mi/h and the other travels west at 20 mi/h. At what rate is the distance between the cars increasing two hours later
Answer:
The rate at which the distance between the cars increasing two hours later=52mi/h
Step-by-step explanation:
Let
Speed of one car, x'=48 mi/h
Speed of other car, y'=20 mi/h
We have to find the rate at which the distance between the cars increasing two hours later.
After 2 hours,
Distance traveled by one car
[tex]x=48\times 2=96 mi[/tex]
Using the formula
[tex]Distance=Time\times speed[/tex]
Distance traveled by other car
[tex]y=20\times 2=40 mi[/tex]
Let z be the distance between two cars after 2 hours later
[tex]z=\sqrt{x^2+y^2}[/tex]
Substitute the values
[tex]z=\sqrt{(96)^2+(40)^2}[/tex]
z=104 mi
Now,
[tex]z^2=x^2+y^2[/tex]
Differentiate w.r.t t
[tex]2z\frac{dz}{dt}=2x\frac{dx}{dt}+2y\frac{dy}{dt}[/tex]
[tex]z\frac{dz}{dt}=x\frac{dx}{dt}+y\frac{dy}{dt}[/tex]
Substitute the values
[tex]104\frac{dz}{dt}=96\times 48+40\times 20[/tex]
[tex]\frac{dz}{dt}=\frac{96\times 48+40\times 20}{104}[/tex]
[tex]\frac{dz}{dt}=52mi/h[/tex]
Hence, the rate at which the distance between the cars increasing two hours later=52mi/h
if log 2=x express 12.5 in terms of x
Answer:
b
Step-by-step explanation:
thbte
help I don't get it, help
Answer:
No, it is not possible.
Step-by-step explanation:
AB // CD and BC is transversal.
∠ABC = ∠BCD ---> Alternate interior angles are equal.
Here, it is different which is not possible.
2. What facts are needed to solve the problem?
Answer:
firstly we have to identify the problems, understand carefully and chose the best way to solve problems.
TIME REMAINING
49:02
What is the value of h?
The graph shows that f(x) = 3* is translated horizontally
and vertically to create the function g(x) = 3*- h + k.
81%
O-2
O-1
O 1
O 2
f(x)
001)
What is the answer to this photo
Answer:
h=2
Step-by-step explanation:
f is translated right 2 units (so h=2) and up 2 units (so k=2)
The value of h is 2.
What is Translation of Functions?Translation of functions is defined as the when each point in the original graph is moved by a fixed units in the same direction.
There are horizontal translation and vertical translation of functions.
A function f(x) when translated horizontally leads to the function g(x) which is equal to g(x) = f(x ± k) where k is the units to which the function is translated.
And the vertical translation leads to the function g(x) = f(x) ± k, where k is the units to which the function is translated.
Here the original function is, f(x) = 3ˣ.
The point corresponding to x = 0 in f(x) is x = 2 in g(x).
That is (0, 1) is translated to (2, 3).
f(x) is horizontally translated to the right.
3ˣ translates to 3ˣ⁻².
Hence the value of h is 2.
Learn more about Translations here :
https://brainly.com/question/29198392
#SPJ7
Write an expression for the sequence of operations described below.
divide s by q, add r to the result, then triple what you have
Do not simplify any part of the expression.
Answer:
3( [tex]\frac{s}{q}[/tex] + r)
Jamie left home on a bike traveling at 24 mph. Five hours later her brother realized Jamie had forgotten her wallet and decided to take it to her. He took his car and traveled at 64 mph. How many hours must the brother drive to catch Jamie?
Answer:
3 hrs
Step-by-step explanation:
5 * 24 = 120 miles
64x = 120 + 24x
40x = 120
x = 3 hrs
You and Michael have a total of $19.75. If Michael has $8.25, how much
money do you have?
$27.00
$28.00
$11.50
$12.00
Answer:
You have a total of $11.50
Step-by-step explanation:
We first subtract $19.75 by $8.25 and the result will be $11.50
Answer:
11.50
Step-by-step explanation:
19.75-8.35= 11.50
May I have the brainiest?
Many fast-food restaurants have soft drink dispensers with preset amounts, so that when the operator merely pushes a button for the desired rink the cup is automatically filled. This method apparently saves time and seems to increase worker productivity. A researcher randomly selects 9 workers from a restaurant with automatic dispensers and 9 works from a restaurant with manual dispensers. At a 1% significance level, use the Mann-Whitney U Test to test whether workers with automatic dispensers are significantly more productive.
Automatic (Group 1): 153, 128, 143, 110, 152, 168, 144, 137, 118
Manual (Group 2): 105, 118, 129, 114, 125, 117, 106, 92, 126
1. What is the alternative hypothesis for this study?
i. Worker productivity is higher with automatic dispensers.
ii. Automatic dispensers fill cups faster than manual dispensers.
iii. Worker productivity is lower with automatic dispensers.
iv. There is no difference in worker productivity between restaurants with automatic and manual dispensers.
2. What rank will be given to the observation value, 118 that is in both the automatic and manual groups? (Round answer to 1 decimal).
3. When rounding the U test statistic up to the next value, what is the p-value from the Mann Whitney Table of p-values? (Round to 4 decimal places)
4. What can be concluded from this study at a 1% significance level?
Answer:
ii
Step-by-step explanation:
you have to look and read it it comes simple
from the given illustration at the right the law of sines cannot be used since
Answer:
D. No angle opposite the sides is given
Step-by-step explanation:
Given
See attachment for triangle
Required
Why the law of sines cannot be used
From the attached image of a triangle, we can see that all sides are given while none of the angles are given.
Since none of the angles are given, then law of sines doesn't apply
Create a circle such that its center is point A and B is a point on the circle.
Answer:
The center of a circle is the point in the circle which is equidistant to all the edges of thr circle. The point a is the center, while point b is an arbitrary point in the circle. Find attachment for the diagram.
Select the correct answer from each drop-down menu. Julie invests $200 per month in an account that earns 6% interest per year, compounded monthly. Leah invests $250 per month in an account that earns 5% interest per year, compounded monthly. After 10 years, Julie's account balance will be After 10 years, Leah's account balance will be After 10 years, will have more money in her account.
the answer: $32,776 / $38,821 / leah
Answer:
After 10 years, Julie's account balance will be $ 363.88 and Leah's account balance will be $ 411.75, thus Leah will have more money in her account.
Step-by-step explanation:
Since Julie invests $ 200 per month in an account that earns 6% interest per year, compounded monthly, and Leah invests $ 250 per month in an account that earns 5% interest per year, compounded monthly, to determine the amount of each after 10 years, the following calculations must be performed:
200 x (1 + 0.06 / 12) ^ 10x12 = X
200 x 1.005 ^ 120 = X
200 x 1.8193 = X
363.88 = X
250 x (1 + 0.05 / 12) ^ 10x12 = X
250 x 1.00416 ^ 120 = X
250 x 1.647 = X
411.75 = X
Therefore, after 10 years, Julie's account balance will be $ 363.88 and Leah's account balance will be $ 411.75, thus Leah will have more money in her account.
Where does the graph of f(x)=2√-x+2 start?
A. (−2,0)
B. (2,0)
C. (0,2)
D. (0,−2)
