Given :
Apocalyptica Corp. pays a constant $18 dividend on its stock.
The company will maintain this dividend for the next 4 years and will then cease paying dividends forever.
To Find :
If the required return on this stock is 7.78 percent, what is the current share
price.
Solution :
Current price ( After 4 hours ) :
[tex]C.P = 18[\dfrac{1}{(1+0.10)^1}+\dfrac{1}{(1+0.10)^2}+\dfrac{1}{(1+0.10)^3}+\dfrac{1}{(1+0.10)^4}]\\\\C.P=\$57.058[/tex]
Therefore, current share price is $57.058 .
Hence, this is the required solution.
During flu season, there were 93 students out of school on a particular day. If this is 12% of the total number of students at the school, how many total students are enrolled at the school?
The total students that are enrolled at the school is = 868 students
Calculation of total studentsIn the flu season the number of students absent from school = 93
The percentage of students absent from school = 12%
If 93 students = 12%
X students = 100%
Make X the subject of formula,
X = 93× 100/12
X= 9300/12
X = 775
Therefore, 775 + 93 = 868
The total students that are enrolled at the school is = 868 students.
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Matt is going to sign up for the "Fruit of the Month Club." He must pay a $25 enrollment fee, as well as $17 each month to continue his membership. He is going to stop receiving fruit once he has spent $280. Write the equation of this problem in Slope-Intercept form (hint: y=mx+b): How much as he spent on fruit after 5 months? In how many months until he has spent $280?
Answer:
He spent on fruit after 5 months is $110.
In 15 months he spent $280.
Step-by-step explanation:
Fixed pay for membership is $25
And enrollment fee is $17 for each month.
The equation represents this situation is
y= 17 x + 25
He is going to stop receiving fruits once he spent $280.
Now, to find how much he spent on fruit after 5 months is plugin x as 5 into
y=17x+25 for x
y=17(5)+25
y=85+25
y=110 dollars
Now, to find how many months until $280 is to plug in y as 280 then solve the equation for x.
280 = 17 x+25
Subtract both sides 25
255 =17 x
Divide both sides by 17
x= 15 months
The number of pages Caitlin reads over time is shown in the table below.
Caitlin's Reading Log
Hours
2 4 5
Number of Pagos 90 180 225
Part A. What is Caitlin's rate of reading?
Part B. Victoria reads at the rate of 60 pages per hour. What is the difference in the number of pages Victoria and Caitlin will read in 6 hours?
Enter the correct numbers in the boxes.
A.
pages per hour
B.
pages
Eight more than the number n is equal to 25. find the number n
if a is perpendicular to b and b is parallel to c ,
how does a and c relate
If f(x) = 5x/3 + 5, which of the following is the inverse of f(x)?
what is the value of xy/z if x= 4, y = -3, and z = -2?
A. -1/6
B. -6
C. 1/6
D. 6
Sketch a graph to represent the situation. Label each section.
You buy two shirts. The third one is free.
all and
Answer:
for every 2 shirts, the 3rd is free
Step-by-step explanation:
—7y - 17 = -38 show your work
Answer:
y = 3
Step-by-step explanation:
Given
- 7y - 17 = - 38 ( add 17 to both sides )
- 7y = - 21 ( divide both sides by - 7 )
y = 3
Answer:
[tex]y=3[/tex]
Step-by-step explanation:
[tex]-7y - 17 = -38[/tex]
Add 17 both sides
[tex]-7y - 17 + 17= -38+17[/tex]
[tex]7y= -21[/tex]
Divide both sides by -7
[tex]\dfrac{-7y}{-7}=\dfrac{-21}{-7}[/tex]
[tex]y=3[/tex]
There are b people on a bus at the next stop 7 people get off and 10 more get on how many more people are on the bus now
Answer:
b-7+10
Step-by-step explanation:
If there is no specific number or if there isn't anything as an equal sign then there is only that
Find an equation of the line passing through each of the following pairs of points (−3, 1), (0, 3)
Answer:
y= 2/3x +3
Step-by-step explanation :
The number -2 is a solution to which of the following inequalities?
x + 7 > 5
-3 x 10
Answer:
x -7 < -4
Step-by-step explanation:
d/4=9 what is d? pls help‼️
Tuliskan hasil Perkarian bentuk aljabar berikut
Step-by-step explanation:
its a photo hope this will help you
mark me as brainlest
Solve the literal equation
x = a + b + c
————
ab
Answer:
a = xab/(b + c)
Step-by-step explanation:
x = (a + b + c)/ab
Isolate the variable by multiplying/dividing everything, but variable a to both sides
x × ab/(b+ c) = (a + b + c)/ab × ab/(b + c)
xab/(b + c) = a
The sum of two consecutive odd integers the first of which 2n+1
Answer:
4n+4
Step-by-step explanation:
If the first odd integer is 2n+1, the second must be 2n+3.
Add them and get 2n+1+2n+3 = 4n+4.
Example: if n=5 the numbers are 11 and 13 and their sum is 24
4*5 + 4 = 24.
Please Help!!! I am in a Quiz!!!!!!!!!!!!!
A best-selling book is 2 11/16 inches thick. How many copies of the book would fit on a bookstore shelf that is 30 inches long?
Answer:
Step-by-step explanation:
1 think 12 or 13
Mary decided to start walking her dog 3 miles each week.
How many miles per day must she walk the dog?
Answer:
21
Step-by-step explanation:
Answer:
1.5
Step-by-step explanation:
Im not sure but this is my best answer
Can someone help me I will give extra points and whoever is first I will mark as Brainliest
What is the equation of the line that passes through the point (-3,2) and has a slope of -3
Answer:
y= -3x-7
Step-by-step explanation:
In golf, a golfer must have a score of 0 in order to be at par. A golfer scores 4 above par on the first hole, 3 below par on the second hole, and 1 below par on the third hole. Write an expression to solve for their score. What is the golfer's score?
Answer:
The expression to solve the golfer's score is X = A + B + C
The golfer's score is 0 (The golfer is at par)
Step-by-step explanation:
The given information are;
The score the golfer must have = 0
The score, A, the golfer has on the first hole = +4
The score. B, the golfer has on the second hole = -3
The score. C, the golfer has on the third hole = -1
Therefore, the expression to calculate the golfer's score, X, is given as follows;
The golfer's score = The score the golfer has on the first hole + The score the golfer has on the second hole + The score the golfer has on the third hole
The expression to solve the golfer's score is given as follows;
X = A + B + C
The golfer's score = 4 - 3 - 1 = 0
The golfer's score = 0.
Answer:
3
Step-by-step explanation:
List 2 integers that have a difference of -3
Answer:
0-3
Step-by-step explanation:
From what I undersand when you subtract the two they have to equal negitive three
Step-by-step explanation:
3-6= -3-5+2= -3Hope it helpsHelp please!!! Anything would be appreciated :3
how do i find the inverse of f(x) = (6x + 3)/(x-8)
Answer: [tex]f^{-1}(x)=\dfrac{8x+3}{x-6}[/tex]
Step-by-step explanation:
To find the inverse, swap the x's and y's and solve for y. Note that f(x) is y.
[tex]\underline{\text{Given:}}\\y=\dfrac{6x+3}{x-8}\\\\\\\underline{\text{Swap the x's and y's:}}\\x=\dfrac{6y+3}{y-8}\\\\\\\underline{\text{Solve for y:}}\\x(y-8)=6y+3\\\\xy-8x=6y+3\\\\xy-6y=8x+3\\\\y(x-6)=8x+3\\\\\large\boxed{y=\dfrac{8x+3}{x-6}}[/tex]
#6 please help me gang
above it says find the missing angle measurement.
Answer:
1) 53
2) 35
3) 28
4) 42
Step-by-step explanation:
Sum of angles in all triangles is 180 so add the two known angle measurements and subtract from 180.
Help me with this question, please. Im stuck.
The answer is A, x=7/3
Decimal form would be x=2.3...
And mixed number form would be x=2 1/3
The table compares the shoes worn by customers in an ice cream shop and the ice cream flavor that they picked. Can ice cream flavor be represented as a function of the type of shoe? Shoe type Ice cream flavor Boots Strawberry Loafers Vanilla Sandals Chocolate High-heels Banana Flip-flops Pineapple Moccasins Chocolate Sandals Banana Loafers Vanilla Choose 1 answer: Choose 1 answer: (Choice A) A Yes (Choice B) B No
the answer is no.
bajaabjshsiwhdd
Answer:
No
Step-by-step explanation:
Find the value of p(1) if p(x) = (2x-5)(x-1) *
(a)1
(b)4
(c)0
(d)2
Please answer it very fast. I want it now.
HELPPPPPPPPP PLEASEEEEEEE
Answer:
h=[tex]\frac{b\sqrt{3} }{2}[/tex]
Step-by-step explanation: