The company’s stock price today would be $33.46.
Dividend per share for the first 2 yearsDividend per share Year 1 (D1) = $3.30 per share
Dividend per share Year 2 (D2) = $2.52 per share
Calculation of Stock Price for the Year 2 (P2)Stock Price for the Year 2 (P2) = D2(1 + g) / (Ke – g)
= $2.52(1 + 0.042) / (0.1160 – 0.042)
= $2.63 / 0.0740
= $35.48 per share
The Stock Price todayThe company’s stock price is the Present Value of the future dividend payments and the present value the stock price for the year 2
The Stock Price = D1/(1 + r)1 + D2/(1 + r)2 + P2/(1 + r)2
= $3.30/(1 + 0.1160)1 + $2.52/(1 + 0.1160)2 + $35.48/(1 + 0.1160)2
= [$3.30 / 1.1160] + [$2.52 / 1.24546] + [$35.48 / 1.24546]
= $2.95 + $2.02 + $28.49
= $33.46 per share
Hence, the company’s stock price today would be $33.46.
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I need help asap!!!!
Answer: -1 and 5
Step-by-step explanation:
Solve for m.
D=(m− 3)
m=
(Simplify your answer. Use integers or fractions for any
numbers in the expression.)
m = D +3
What is algebra?The basics of algebra include numbers, variables, constants, equations, linear and equations. It also includes the basic arithmetic operations : addition, subtraction, multiplication, and division within the algebraic expressions. Algebra is the study of mathematical symbols and the rules for using these symbols in formulas .
The three most used laws are the Commutative, Associative, and Distributive Laws. The main rule of algebra is balancing. The equation has equals sign and both the sides should be equal.
Given, D = (m -3)
we can write,
m = D+3
if D is assumed to be 2 (integer) then,
m = 2+3= 5 (integer)
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what unit would you use to measure the length of Supermarket
The length of the building should be measured in meters, as that is the most appropriate unit.
What are units?A unit of measurement is a specific magnitude of a quantity that has been established and adopted by law or convention and is used as a benchmark for measuring other quantities of the same kind. A multiple of the unit of measurement can be used to express any other quantity of that type. A length, for instance, is a physical quantity.The most suitable unit to measure the length of the building will be measuring the length of the building in meters.
Therefore, the length of the building should be measured in meters, as that is the most appropriate unit.
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M- (-7)<5
-helpppp please
Answer: M + 7
Step-by-step explanation:
Well, it doesn’t show the variable’s number correct?
So, since we don’t have the number, we are going to multiply -1 by -7, getting 7 from this. Now, change it to addition. You should have m + 7.
I hope this helps!
the non-engineer wants 600 pounds of total initial thrust from the 20 rockets. what is the probability that his/her scheme will produce the minimum required thrust?
The exit mass flow rate times the exit velocity less the free stream mass flow rate times the free stream velocity equals the force (thrust).
If we take into account the factors mentioned above, we will see that if the aircraft can fly at full thrust in cruise, this fits nicely with a static sea level thrust force equivalent to one third of its weight force. The thrust required to sustain flight is approximately 1/18 of the aircraft weight. It takes classroom teaching, ground training, and flying training from a certified instructor to obtain a high-altitude endorsement. we will learn about the warning signs and symptoms of altitude sickness, when to use supplemental oxygen, how long you can use that oxygen safely, and more during ground school.
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BRAINLIEST!! Find the arc length on a circle of radius 10 cm intercepted by a central angle of 6 rad
The length of the arc intercepted by a central angle of
6 radians is 60.34 cm.
What is an Arc?
An arc is any smooth curve joining two points.
Given is an circle of radius 10 cm intercepted by a central angle of
6 radians.
We can calculate the length of the arc using the formula -
L[arc] = (Ф/360°) x 2πr
Ф = 6 radians = 343.78 degrees
L[arc] = (343.78/360) x 2π x 10
L[arc] = 0.96 x 2π x 10
L[arc] = 60.34 cm
Therefore, the length of the arc intercepted by a central angle of
6 radians is 60.34 cm.
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6+5m<1 how do I do this this is to hard
Answer: m < -1
Step-by-step explanation:
Step 1: 6 + 5m < 1. Step 2: 5m/5 < -5/5 m = -1
-6. -6
Answer: m < −1
Step-by-step explanation:
1. Rearange: 5m+6<1
2. 5 + 6−6 < 1−6
3. 5m < -5
4. 5m/5 < -5/5
5. Cancel terms that are in both the numerator and denominator then divide the numbers.
6. answer: m < -1
A researcher is testing the effect of a new cold and flu medication on reaction time. A sample of n=16 students is obtained and each student is given the normal dose of the medicine. Thirty minutes later, each student’s reaction time is measured. The scores for the sample averaged 220 milliseconds with a standard deviation of 20. Assuming that reaction time for students in the regular population averages 200 milliseconds, are the data sufficient to conclude that the medication has a significant effect on reaction time? Use a two-tailed single-sample (one-group) t-test with alpha = .05.
What are the null and alternative hypotheses?
The null hypothesis is that the reaction time for students in the regular population averages 200 milliseconds.
The alternate hypothesis is that the reaction time for students in not the regular population averages 200 milliseconds.
What is null hypothesis?In statistical hypothesis testing, null and alternate hypotheses are utilized. The alternative hypothesis of a test expresses your research's prediction of an effect or relationship, whereas the null hypothesis of a test always predicts no effect or no association between variables.
With the aid of a statistical test, researchers weigh the evidence in favor of and against the null and alternative hypotheses, which are two opposing claims:
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If I were to roll 2 dice looking for a 1 and anything but a 3, or 4. What is the probability I will get the result I'm looking for.
The prοbability οf getting the desired οutcοme is 1/9 οr apprοximately 0.1111 (rοunded tο fοur decimal places)
What is Prοbability?In mathematics, prοbability is a measure οf the likelihοοd οr chance οf an event οccurring, expressed as a number between 0 and 1, where 0 represents an impοssible event and 1 represents a certain event. It is a fundamental cοncept in statistics and is used tο mοdel and analyze a wide range οf real-wοrld phenοmena.
The prοbability οf getting a 1 οn a single die is 1/6, and the prοbability οf getting anything but a 3 οr 4 οn a single die is 4/6 (since there are 6 pοssible οutcοmes and 3 οf them result in a 3 οr a 4).
Tο find the prοbability οf getting the desired οutcοme when rοlling twο dice, we can use the multiplicatiοn rule οf prοbability, which states that the prοbability οf twο independent events οccurring tοgether is the prοduct οf their individual prοbabilities.
Sο the prοbability οf getting a 1 οn οne die and anything but a 3 οr 4 οn the οther die is:
(1/6) x (4/6) = 4/36 = 1/9
Since there are 36 pοssible οutcοmes when rοlling twο dice, the prοbability οf getting the desired οutcοme is 1/9 οr apprοximately 0.1111 (rοunded tο fοur decimal places).
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-5y - 35
C cncbfbfbdbdjxdbxjdjdvdbfbfbfbfnfnfnfb
Answer:
5(y - 7)
Step-by-step explanation:
common factor
5-y-35
5(y - 7)
Premises:
If I'm a student, then I go to school. If I go to school, then I learn.
Conclusion:
If I'm a student, then I learn.
This is an example of the Law of
The given statement is an example of the law of detachment.
Given that,
Premises:
If I'm a student, then I go to school. If I go to school, then I learn.
Conclusion:
If I'm a student, then I learn.
This is an example of the Law of which is to be determined.
What is arithmetic?In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Following the statement given in the premises gives a certain conclusion which shows the detachment behavior.
Thus, the given statement is an example of the law of detachment.
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Which following conditions are necessary to use the binomial distribution
The conditions necessary for binomial distribution is option C that is I and III only "There is a series of N trials." and "The outcomes are mutually exclusive."
What is binomial distribution?In probability theory and statistics, the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and each with its own Boolean-valued outcome: success or failure, is known as the binomial distribution with parameters n and p.
What are the conditions of binomial distribution?If the following circumstances hold true, the binomial distribution describes the behavior of a count variable X: 1: There will always be n observations. 2: Every observation stands alone. Three: Each observation corresponds to one of two results ("success" or "failure").
Option C, which consists solely of I and III, meets the requirements for the binomial distribution. "The results are mutually exclusive" and "There is a series of N trials."
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I need help with 1-4 please and thanks
Estimate intercepts of the graph of the functions
1. [tex]y=\frac{1}{3} x+1[/tex]
=>At x axis
x = 0
y= 0+ 1
y = 1
=>At y axis
y= 0
1/3x = -1
x= -3
The x intercepts:( -3, 0)
The y intercepts : (0,1)
2. [tex]y= x^{2} -3x-4[/tex]
=> At x axis
x=0
y= - 4
=> At y axis
y= 0
[tex]x^{2} -3x-4= 0[/tex]
(x-4)(x+1) = 0
x= 4,-1
The x intercepts: (4,0) ( -1, 0)
The y intercepts : (0,-4)
3. y= -2 |x-5|
=> At x axis
x=0
y= -2(5)
y= -10
=> At y axis
y= 0
-2|x-5|=0
Divide both sides by -2
|x - 5|= 0
x- 5 = 0
x = 5
The x intercepts: (5,0)
The y intercepts : (0,-10)
4. [tex]y= -4x^{3} -13x^{2} -10x[/tex]
=> At x axis
x= 0
y = 0
=>At y axis
y=0
[tex]0=-4x^{3} -13x^{2} -10x \\\\4x^{3} +13x^{2} +10x =0[/tex]
By factorization ,
x( 4x+5 )( x+2)= 0
x= 0, -2, -5/4
The x intercepts: (0,0) (-2,0) ,(-5/4,0)
The y intercepts: (0,0)
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Mikey is conducting a science experiment about the rate at which different materials will burn. In his hypothesis, he states that a pencil and a lemon will burn at the same rate because they are both yellow. Which logical fallacy has Mikey used? False analogy Hasty generalization Red herring Slippery slope
The logical fallacy which Mikey has used is referred to as: A. False analogy.
What is a fallacy?A fallacy can be defined as a mistaken or false belief (assumption) that are based on illogical arguments or reasoning.
The types of fallacy.In Science, there are different types of fallacy and these include the following:
Red herringAppeal to authoritySlippery slopeHasty generalization.Ad HominemAppeal to Popularity (Ad populum)Fallacy of exclusionFalse analogyAdditionally, a false analogy simply refers to a type of informal fallacy which states that since quantity A and quantity B both share the same quality X (color yellow), then, they must also share quality Y in common (burning rate).
In this context, we can reasonably infer and logically deduce that Mikey's hypothesis is a false analogy.
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Answer: hey sis! the answer is a
Step-by-step explanation: A.) false analogy
(btw this language arts not math)
A Ferris wheel is designed in such a way that the height (h), in feet, of the
seat above the ground at any time, t, is modeled by the function h(t) = 49cos
(π/15+T) + 50. What is the maximum height of the wheel?
ASAP PLEASE HELP !!!!
Evaluate.
4^4+400÷(4+6^2)−2^4
Which answer is correct?
250
244
18
10
Answer:
250
Step-by-step explanation:
4^4+400÷(4+6^2)−2^4
256 + (400 ÷(4+36) ) -16
256 + (400÷40) -16
256+ (400 (1/40) ) -16
256 + (400/40) -16
256 + (2 · 6) -16
256 + 10 =16
250
Shanika is thinking of a rational number, but tells you its opposite. What is true about the number she is thinking of?
a- it is located at zero on the number line
b-it is to the right of zero on the number line
c- it is twice as far from zero as the number she tells you
d-it is the same distance from zero as the number she tells you
Answer:
d. It is the same distance from zero as the number she tells you.
Step-by-step explanation:
Case 1: Let Shanika thought a positive rational
number
Let the number that Shanika thought be c.
Then, the distance of it from zero = lc - Ol = c.
But, the number she told = -c
The distance of -c from zero = 10--(-c)| = c
Case 2: Let Shanika thought a negative rational number
Let the number that Shanika thought be -c (c>0).
Then, the distance of it from zero = 10--(-c)| = c.
But, the number she told = c
The distance of -c from zero = Ic-01 = c
In both cases, the number she thought is the same distance from zero as the number she tells us.
n proof testing of circuit boards, the probability that any particular diode will fail is 0.030.03. suppose a circuit board contains 150 diodes and that each one performs or fails independently of all others. how many diodes would you expect to fail, and what is the standard deviation of the number that are expected to fail? 5 points
You would expect 4.5 diodes to fail. The standard deviation of the number that are expected to fail is 2.089.
The number of diodes failing, E(X), can be calculated by multiplying the population, n, with the probability, p.
n = 150
p = 0.03
E(X) = n × p
E(X) = 150(0.03)
E(X) = 4.5
Standard deviation, denoted by σ, is defined as the measure that indicates the average distance of observations from the mean of the data set.
σ = √(n x p x (1 - p))
σ = √(150 x 0.03 x (1 - 0.03))
σ = √150 x 0.03 x 0.97
σ = √4.365
σ = 2.089
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can someone help pls????
detail for me as well
Step-by-step explanation:
the easy straight forward method is to simply sum up the 5 terms.
you know that this symbol just means "sum", right ?
and that the index variable is "running" from 1 to 5.
so, you have to sum up
3×1 + 3×2 + 3×3 + 3×4 + 3×5 = 3 + 6 + 9 + 12 + 15 = 45
now, if you want it done via a summary formula to add the first n terms of an arithmetic sequence, like in this case
a1 = 3
an = an-1 + 3 = a1×n = 3n
then
the sum of the first n terms in an arithmetic sequence is (n/2)⋅(a₁+aₙ).
it simply means : first plus last term added up n/2 times.
why ?
because a1 + an = a2 + an-1 = a3 + an-2 = ...
we get n/2 times such part sums.
so, in our case, n = 5, and we get
(3 + 3×5)×5/2 = (3 + 15)×5/2 = 18×5/2 = 9×5 = 45
Answer:
∑ (i = 1 to 5) (3·i)
= 3·∑ (i = 1 to 5) (i)
= 3·(1 + 2 + 3 + 4 + 5)
= 3·15
= 45
Hong has 16 one-dollar bills. he wants to give each of his 6 children the same number of bills. how many bills can he give each child? how many bills will hong have remaining?
Hong has 16 one-dollar bills. he wants to give each of his 6 children the same number of bills. Then Hong will give 12 bills to his 6 children and 4 bills Hong have remained
Hong has 16 one-dollar bills.
he wants to give each of his 6 children the same number of bills.
how many bills can he give each child?
how many bills will Hong have remaining?
since Hong has 16 one dollar bills and he wants 6 children the same number of bills
then he give 6 children two bills to each
then the total number of bills he give to 6 children is 12
and he has 16 bills and 12 bills give to his children
the remaining bills left = 16 bills - 12 bills = 4 bills
Hence , Hong will give 12 bills to his 6 children and 4 bills Hong have remained
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help meeeeeeeeeeee pleaseeeeeeeeeeeeee!!
Please help I will give brainliest
Answer:
y=1/2x+2
Step-by-step explanation:
y=mx+b
m = slope = rise/run
b = y-intercept
Look at the graph, and find the slope.
m= slope = rise/run = 1/2
b = y-intercept = 2
Therefore, the correct answer is option y=1/2x+2
find the distance between the parallel lines. if necessary, round your answer to the nearest tenth. coordinate plane shows two lines. line y equals negative 3 x plus 1 and line y equals negative 3 x plus 4.
By taking the difference between the y-intercepts, we conclude that the distance between the lines is 3 units.
How to find the distance between the parallel lines?A general linear equation is:
y = a*x + b
Where a is the slope and b is the y-intercept.
Two linear equations are parallel if and only if both lines have the same slope and different y-intercepts.
And the distance is given by the difference between the y-intercepts.
Here the lines are:
y = -3*x + 1
y = -3*x + 4
The difference between the y-intercepts gives:
4 - 1 = 3
That is the distance between the lines.
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Solve for all values of y in simplest form.
10 = |y/9|
Answer: y = -90, 90
Step-by-step explanation:
To solve this, we will isolate the variable.
Given:
10 = |[tex]\frac{y}{9}[/tex]|
Absolute value:
10 = [tex]\frac{y}{9}[/tex] & -10 = [tex]\frac{y}{9}[/tex]
Multiply both sides of both equations by 9:
90 = y & -90 = y
Answer:
y = -90, 90
An angle measures 82° less than the measure of its complementary angle. What is the measure of each angle?
Answer: 4 and 82 i think
kusa rode his bike for 10 miles /hour for 0.75 hours chaman rode his bike for 12 mile/hour for 0.6 hours
need please asap will give brainlyies
who rode farthur and how far did trhat person ride?
A. kusa he rode 10 miles
B. kusa he rode 7.5 miles
C. charman he rode 6 miles
D. charman he rode 7.2 miles
Answer:
B
Step-by-step explanation:
Kusa=10x0.75=7.5
Chaman=12x0.6=7.2
7.5>7.2
so kusa rode further than chaman.
Answer:
b
Step-by-step explanation:
12 | 13
1
3/4
5/6
7/8
li
2
Angles 1 & 5 are an example of:
1₂
13
Answer:
corresponding angles
Step-by-step explanation:
1 and 5 are corresponding angles
they are in the same place
that is why they are corresponding
Find the equation of the linear function represented by the table below in slope-intercept form X 0,1,2,3,4 Y -2,5,12,19,26
The equation of the linear function represented in the table in slope intercept form is y = 7x -2
How to represent linear equation in slope intercept form?A linear function can be represented in slope intercept form as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, the table follows a linear pattern.
Hence, using (0, -2)(1, 5) we can find the slope and the y-intercept of the linear function.
Therefore,
m = 5 - (-2) / 1 - 0
m = 5 + 2 / 1
m = 7
Therefore, let's find the y-intercept using (0, - 2).
y = mx + b
-2 = 7(0) + b
hence,
b = -2
Therefore, the slope intercept form of the table is y = 7x - 2
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Find the slope that passes through the points
(3, 5) and (7, 17)
Answer:
y=3x-4
Step-by-step explanation:
In a company's first year in operation, it made an annual profit of $111, 000. The
profit of the company increased at a constant 24% per year each year. How much
total profit would the company make over the course of its first 24 years of operation,
to the nearest whole number?
The total profit made by the company over the course of its first 24 years of operation is $10,016,640
Given,
The annual profit made by a company in first year = $111,000
The increase in profit per year = 24% = $26640
We have to find the total profit made by the company over the course of its first 24 years of operation
Lets take this as an arithmetic progression.
First term, a = 111,000
Common difference, d = 26640
nth term = 24
Sum of nth term,
Sₙ = n/2 [2a + (n - 1) d]
S₂₄ = 24/2 [2 × 111,000 + (24 -1) 26640]
S₂₄ = 12 [222,000 + 23 × 26640]
S₂₄ = 12 [222,000 + 612,720]
S₂₄ = 12 × 834,720
S₂₄ = 10,016,640
That is,
The total profit made by the company over the course of its first 24 years of operation is $10,016,640
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