14.11 is the price of one share in the company TYK.
How much would you pay for one share in Company TYK?Given:
Company TYK forecasts that it will begin paying dividends seven years from now, at which point dividends are $1 per share.Dividends are expected to grow at a constant rate of 6% per year.The discount rate for TYK is 10%.Find:
How much would you pay for one share in Company TYK?Solution:
The dividend is the amount paid to the shareholders for their investment in the company.
Dividend at end of 7th year = $1 per share (given)
dividend expected growth rate = 6% (given)
the dividend will be paid from the end of seven years.
So find the price of the share at the end of the 6th year.
price at the end of the 6th year
= Dividend at the 7th year/discount rate growth rate
= 1/(10%-6%) = 1/4% = 25
price of the share at the end of the 6th year is $25
discount price 10% (given)
current price share = 25/(1+10%)^6
= 25/(1.1)^6
= 25/1.77
= 14.11
The current price of the share is $ 14.11
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Continue preparing to analyze the data (step 3): Choose an appropriate numerical summary.
An appropriate numerical summary is descriptive statistics.
What is a numerical summary?It should be noted that a numerical summary means a number used to describe specific characteristics of a data set.
In this case, descriptive statistics can be used. This is used to describe the data set.
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Number 8 is the answer 90*
Answer:
E
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
Consider the triangle on the left
3rd angle = 180° - 60° - 90° = 180° - 150° = 30°
the 3rd angle of the triangle on the left = 30° ( vertically opposite angle ), so
∠ 1 = 180° - 30° - 65° = 180° - 95° = 85°
In a certain chemical, a ratio of zinc to copper is 4 to 11 . A jar of the chemicals contains 319 copper. How many grams of zinc does it contain?
Answer:
116
Step-by-step explanation:
zinc : copper
4 : 11
11 = 319
zinc = 4 / 11 * 319
Zinc = 116
Which figure is described below?
The locus of points in a plane 1 unit from the point (0,0).
ray
circle
plane
line
Answer:
CIRCLE
Step-by-step explanation:
cual es la mitad de 980
Al aplicar operaciones de aritmética básica, tenemos que la mitad de 980 es igual a 490.
¿Cuál es la mitad de un número par?
En esta pregunta tenemos un número par de tres dígitos que termina en cero. De acuerdo con la teoría numérica, un número de base 10 de más de un dígito que tenga un número par relacionado con números impares como último dígito, tendrá un número impar si es dividido por 2.
Ahora bien, si tenemos un número par con más de un dígito que termina en cero, entonces tendrá un número par que termina en 0 si es dividido por 2.
Si dividimos 980 por 2, entonces tenemos 490 como resultado:
980/2 = 98/2 × 10 = 49 × 10 = 490
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Which graph shows the solution to the inequality lx+3l≥2 ?
Question 22: 4 pts
Nine cards are numbered from 1 to 9 and placed in a box. One card is selected at random and not replaced.
Another card is randomly selected. What is the probability of selecting two prime numbers?
2/9
O1/12
1/9
1/6
The probability of selecting two prime numbers is 1/6.
What is the probability?Probability determines the odds that a random event would happen. The odds that the random event would happen lie between 0 and 1.
The probability of selecting two prime numbers = (number of prime numbers between 1 and 9 / total numbers between 1 and 9) x [(number of prime numbers between 1 and 9 / total numbers between 1 and 9) - 1]
Prime numbers between 1 and 9 = 2, 3, 5, 7
4/9 x 3/8 = 1/6
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Write the equation of the line.
(Check image)
Options:
a. y = -2/3x + 4
b. y = 2/3x + 4
c. y = 3/2x + 4
d. y = -3/2x + 4
please show step by step
if the area of the figure below is 400m. find x
Answer:
it's answer came 20000o
His wife makes a final test of Odysseus' identity by getting him to tell
about the building of his bed
the name or his favorite dog
about the day he went away
how he got a scar on his arm
Answer: About the building of his bed
Given the coordinates below, what is the midpoint of AB?
A(-6, -10)
B(2,5)
Given :
[tex] \: [/tex]
A(-6, -10)B( 2, 5)
[tex] \: [/tex]
[tex] \gray{ \frak{The \: given \: two \: \: points \: are(x_{1 },y_{1})=(−6 , -10)and(x_{ 2 },y_{2} )=( 2,5 )\:}}[/tex]
[tex] \: [/tex]
Let's solve by using midpoint formula :
[tex] \: [/tex]
[tex] \bf \boxed{\color{red}\frak{Midpoint \: \: Formula : {( \: x ,\:y \: ) = }( \frak{ \frac{x_{1 } + y_{1}}{2} , \frac{x_{2 } + y_{2}}{2} )}}}[/tex]
[tex] \: [/tex]
[tex] \large \gray{ \frak{( \: x ,\:y \: ) = }( \frak{ \frac{ -6 + 2}{2} , \frac{ - 10 + 5}{2} )}}[/tex]
[tex] \: [/tex]
[tex] \: \large \gray{ \frak{( \: x ,\:y \: ) = }( \frak{ \frac{ -4}{2} , \frac{ - 5}{2} )}}[/tex]
[tex] \: [/tex]
[tex]\large \gray{ \frak{( \: x ,\:y \: ) = }( \frak{ \cancel\frac{ -4}{2} , \cancel\frac{ - 5}{2} )}}[/tex]
[tex] \: \: [/tex]
[tex] \underline{ \boxed{ \large \red{ \frak{option \: d }( \frak{ - 2, - 2.5)}}}}✓[/tex]
Hope Helps! :)
Find all the solutions to 3x^3 - 6x^2 + 30x - 20 = -20
Answer: Option (1)
Step-by-step explanation:
[tex]3x^3 - 6x^2 + 30x-20=-20\\\\3x^3 - 6x^2 + 30x=0\\\\3x(x^2 - 2x+10)=0\\\\[/tex]
So, either [tex]x=0[/tex] or [tex]x^2 -2x +10=0[/tex]
For the second case, we know x=0.
For the second case, we can use the quadratic formula.
[tex]x=\frac{2 \pm \sqrt{(-2)^2 - 4(1)(10)}}{2}\\\\x=1 \pm 3i[/tex]
solve the following portion for x/11=8/3. round to nearest tenth
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the solution to this system of inequalities in the coordinate plane.
3y 2x+122x + y ≤5
The solution of the inequalities is (0.375, 4.25)
How to graph the inequalities?The system of inequalities is given as:
3y > 2x + 12
2x + y ≤ 5
Next, we plot the inequalities on a graph (see attachment)
From the graph, both inequalities intersect at
(x, y) = (0.375, 4.25)
This represents the solution of the inequalities
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Kite A B C D is shown. Lines are drawn from point A to point C and from point B to point D and intersect.
Figure ABCD is a kite. The area of ABCD is 48 square units. The length of line segment BD is 8 units.
What is the length of AC?
5 units
6 units
10 units
12 units
The length of AC is 12 units . Option D
How to determine the length
The formula for area of a kite is given thus;
Area = [tex]\frac{p * q}{2}[/tex]
Where p and q are the lengths
Area of kite = 48 square units
BD, q = 8 units
AC , p = unknown
Substitute the values
[tex]48 = \frac{AC * 8}{2}[/tex]
Cross multiply
[tex]AC * 8 = 48 * 2[/tex]
[tex]8AC = 96[/tex]
[tex]AC = \frac{96}{8}[/tex]
[tex]AC = 12[/tex] units
Thus, the length of AC is 12 units . Option D
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Answer:option 4
Step-by-step explanation:
Evaluate:
(3,251)(30)
Answer: 97350
Step-by-step explanation:
The numbers (3251)(30) are separated by using parentheses by multiplying the numbers we get 97350.
What is multiplication?
When we notice two or more numbers together that exist divided by parentheses, then the parentheses exist pointing us to multiply. In math, multiplying indicates adding equivalent groups. When we multiply, the number of things in the group rises. The two elements and the product exist as regions of a multiplication problem.
Given: (3251)(30)
Here, the numbers are separated by using parentheses, then the parentheses exist pointing us to multiply.
Therefore, by multiplying the numbers we get
(3,251)(30) = 97350
Therefore, the correct answer is 97350.
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A bagel shop sells coffee in a container shaped like a rectangular prism. A graphic designer who works for the bagel shop drew the net below to create a design for the container.
1598 cm square is the area of the container.
According to the statement
we have given that the container is rectangular prism
And Length of rectangular prism is 34cm
Width of rectangular prism is 17 cm
Height of rectangular prism is 20 cm
we use the below written formula to find the surface area
Surface area formula A=(wl+hl+hw)
To find the surface area of the container.
Substitute the values of Length, width and height in the formula then
A=(wl+hl+hw)
A=((17)(34)+(20)(34)+(20)(17))
After solving the values
A=(578+680+340)
A= 1598
So, 1598 cm square is the area of the container.
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(06.03 HC)
Solve the following system of equations. Show all work and solutions.
y = 3x2 + 6x + 4
y = -3x2 + 4
Answer: [tex](x,y)=\{(-1,1), (0,4) \}[/tex]
Step-by-step explanation:
[tex]3x^2 +6x+4=-3x^2 +4\\\\6x^2 +6x=0\\\\x^2 +x=0\\\\x(x+1)=0\\\\x=-1, 0\\\\x=-1 \longrightarrow y=1\\\\x=0 \longrightarrow y=4\\\\\therefore (x,y)=\{(-1,1), (0,4) \}[/tex]
The solution of the quadratic equations will be ( 0, 4 ) and ( -1, 1).
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given quadratic equations are given as below:-
y = 3x² + 6x + 4
y = -3x² + 4
Equate the equations and solve for the value of x.
3x² + 6x + 4 = -3x² + 4
6x² + 6x = 0
x² + x = 0
x ( x + 1 ) = 0
x = 0 and x = -1
At x=0 and x=-1 the values of y are calculated as below:-
y = -3x² + 4
y = 0+ 4 = 4
y = -3 + 4 = 1
Therefore, the solution of the quadratic equations will be ( 0, 4 ) and ( -1, 1).
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ил
-
10: Find the x-and y-intercepts of the graph of the function f(x) = x^4 − 1
Solution :
Find the x-and y-intercepts of the graph of the function f(x) = x^4 − 1
Answer: The given equation is
f(x) = x^{4} - 1
x- and y-intercept of the graph of the function f(x) = x^4 - 1 is
x-intercept(s): (1,0), (−1,0)
y-intercept(s): (0, −1)
A graph of the above point is attached
Step-by-step explanation:
Given equation, f(x) = x^{4} - 1
let's assume the above equation with respect to y to find intercept i.e
y = x^{4} - 1 .........................(i)
Now, for the x-intercept put y = 0 in eq.(i)
So, we get,
0 = x^4 - 1
x^4 = 1
x = -1, +1
from above we get the x-intercept (1,0), (−1,0)
Now, for the y-intercept put x = 0 in eq.(i)
So, we get
y = 0^4 - 1
y = -1
from above we get the y-intercept (0, -1)
Therefore, from all above
x- and y-intercept of the given equation f(x) = x^4 - 1 isx-intercept(s): (1,0), (−1,0)
y-intercept(s): (0, −1)
Graph of the given equation f(x) = x^4 - 1 with intercept is
What is the value of p
Answer:
2
Step-by-step explanation:
You have the correct answer selected: 2.
The reason for this is that when there are exponents inside and outside of the parenthesis like this, they are multiplied.
2 times 2 is 4. That's why (8^2)^2 = 8^4
Answer:
p = 2
Step-by-step explanation:
[tex](8^{2}) ^{p}[/tex] = [tex]8^{4}[/tex]
[tex]8^{2p}[/tex] = [tex]8^{4}[/tex]
[tex]8^{p}[/tex] = [tex]8^{\frac{4}{2}[/tex]
p = 2
Suppose we want to choose objects, without replacement, from the objects pencil, eraser, desk, and chair.
(a) How many ways can this be done, if the order of the choices is relevant?
(b) How many ways can this be done, if the order of the choices is not relevant?
The number of ways when the choice is not relevant is 10
How to determine the number of ways?The number of objects are:
Object, n = 5
The object to choose are:
r = 3
Relevant choice
When the choice is relevant, we have:
[tex]Ways = ^nP_r[/tex]
This gives
[tex]Ways = ^{5}P_3[/tex]
Evaluate
Ways = 60
Hence, the number of ways when the choice is relevant is 60
Not relevant choice
When the choice is not relevant, we have:
[tex]Ways = ^nC_r[/tex]
This gives
[tex]Ways = ^{5}C_3[/tex]
Evaluate
Ways = 10
Hence, the number of ways when the choice is not relevant is 10
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A class has $90 to spend on a field trip. The field trip costs $2.50 per person and there will be 5 chaperones on the trip. One student used the inequality 90 greater-than 2.50 (x + 5) to find x, the number of students that the field trip budget could accommodate. Which best describes the error in the student’s inequality?
Answer:
Step-by-step explanation:
x is the number of students
(x+5) is the number of students and chaperons
$2.50·(x+5) is the amount of money the number of students and chaperons will pay for the trip, and that number should be less or equal than $90 because those are all the money they have
2.50(x+5) ≤ 90 which is the same as 90 ≥ 2.50(x+5)
The inequality "90 greater-than 2.50 (x + 5) "
90 > 2.50(x+5) is an error becase it excludes the possibility that the trip can cost exact $90 so we need not just greater than > , yet greater and equal than ≥ sign
90 ≥ 2.50(x+5)
Given: 3x+12=8x−18 algebraic proofs
Step Reason
3x+12=8x−18
12=5x−18
30=5x
6=x
x=6
The value of x comes out to be 6 from the algebraic equation.
Solving the Given Algebraic Equation for x:
Given algebraic equation is,
3x + 12 = 8x - 18
⇒ 12 = 8x - 3x -18
8x - 3x - 18 = 12
5x - 18 = 12
5x = 12 + 18
5x = 30
x = 30 / 5
x = 6
What is an algebraic equation?
A mathematical statement in which two expressions are put equal to one another is known as an algebraic equation. One or more variables, coefficients, and constants make up an algebraic equation in most cases. Anything on one side of the equal sign must have the exact same value on the opposite side in order for it to not be considered unequal.
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HELP PLS!!! I GIVE BRAINLIEST
Based on the multiplication property of equality, the statement that completes the proof is: C. CD = b(sin A) and CD = a(sin B).
What is the Multiplication Property of Equality?The multiplication property of equality is given as, if a/b = y, then a = yb. Both sides of the equation is multiplied by the same value.
In step 5 where the multiplication property of equality is applied, we would have:
sin(A) = CD/b
Multiply both sides by b
sin(A) × b = CD/b × b
b(sin A) = CD
CD = b(sin A)
This same property is applied to sin B = CD/a to get CD = a(sin B).
Therefore, the missing statement is: C. CD = b(sin A) and CD = a(sin B).
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6. Evaluate x³ = -8 *
Find the reminder when 3x² + 2x -7 is divided by x - 1
Answer:
-2
Step-by-step explanation:
When x = 1, 3x² + 2x - 7 = -2.
+++++
3
2
0
+++++++
1
-2
-3
Intro
Which statements are true? Check all that apply.
0-2.5=-2/2
0-1.5 -0.5
-0.5 0
-2.5 -2
11.5
Done
Step-by-step explanation:
++++5
+++++++_2
1=false
true
false
false
Approximately how many years will it take for the world’s population to increase to 8,252,000,000 people? Since there will be the original 100% plus an additional 2% each year, the base in the exponential equation is 1.02. Use the equation 8252=(6080)(1.02)x, where x is the number of years. Round to the nearest year.
The number of years it will take for the world’s population to increase to 8,252,000,000 people is 16
How to determine the number of years?This implies that we calculate the value of x
The equation is given as:
8252=(6080)(1.02)^x
Divide both sides by 6080
1.36 = (1.02)^x
Take the logarithm of both sides
log(1.36) = x * log(1.02)
Divide both sides log(1.02)
x = log(1.36)/log(1.02)
Evaluate the quotient
x = 16
Hence, the number of years is 16
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if a person invested half of her money at 11% and half at 10% and received $420 interest. find the total amount
The total amount invested was $4000. $2000 was invested at 11% while the remaining $2000 was invested at 10%.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the total amount of money invested, hence:
(0.5* x * 0.11) + (0.5 * x * 0.1) = 420
x = 4000
The total amount invested was $4000. $2000 was invested at 11% while the remaining $2000 was invested at 10%.
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The variable y varies directly as x. When x = 20, y = 12. What is the value of ywhen x = 15?
The value of y at x =15 is 9.
What is Direct Variation?Two variables are said to be in Direct Variation when increasing one variable the other also increases.
The direct variation is represented by
y ∝ x
y = kx
where k is the proportionality constant
the value of y =12 , x = 20
12 = k * 20
12/20 = k
k = 0.6
The equation becomes
y = 0.6 x
The value of y at x = 15 is
y = 0.6 * 15
y =9
Therefore, the value of y at x =15 is 9.
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