Answers
Annual rate of return earned when the share was sold at $50 per share is 20%
Annual rate of return earned when the share was sold at $60 per share is 40%
How to calculate annual rate of returnAnnual rate of return is given by the formula
let end of the year price = eyp
let beginning of the year price = byp
= {(eyp - byp) / byp} * 100
Annual rate of return at share price of $50 per share
when there is paying of dividends the value is added to the the eyp
eyp = 50 * 100 + 2 * 100 * 5 = 6000
byp = 50 * 100 = 5000
= {(6000 - 5000) / 5000} * 100
= 20%
Annual rate of return at share price of $60 per share
eyp = 60 * 100 + 2 * 100 * 5 = 7000
byp = 50 * 100 = 5000
= {(7000 - 5000) / 5000} * 100
= 40%
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Related Questions
Given that (x - 2) is a factor of x³ + x² - 5ax + 2a², 'a' can take the value of 2 or which other number?
Answers
well now, let's recall the remainder theorem, check your textbook since we know you're Da Bomb and love to check that theorem.
well, we know a factor is (x-2) for the polynomial f(x), that means that f(2) = 0, so let's use that
[tex]f(x)=x^3+x^2-5ax+2a^2\hspace{5em}\stackrel{\textit{a factor of f(x)}}{(x-2)}\qquad thus\qquad f(2)=0 \\\\\\ 0=(2)^3+(2)^2-5a(2)+2a^2\implies 0=8+4-10a+2a^2 \\\\\\ 0=2a^2-10a+12\implies 0=2(a^2-5a+6) \\\\\\ 0=a^2-5a+6\implies 0=(a-2)(a-3)\implies a= \begin{cases} 2\\ 3 \end{cases}[/tex]
In a factory, 40% of k liters of acid are added to 60% of w liters of water.
Express the total volume of the solution as an algebraic expression. Pls help
Answers
Answer: (0.4k+0.6w)
Step-by-step explanation:
the answer would be (0.4k+0.6w) Since we do not know the values of k nor w, their coefficients cannot be added together.
The total volume of the solution as an algebraic expression is
0.4k + 0.6w.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Amount of acid added to the solution = 40% of k
Amount of water added to the solution= 60% of w
Now,
The total volume of the solution.
= 40% of k + 60% of w
= 40/100 x k + 60/100 x w
= 0.40k + 0.60w
Thus,
The volume is 0.4k + 0.6w.
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The volume V of a fixed amount of a gas varies directly as the temperature T and inversely as the pressure P. Suppose that V = 70 cm^3 when T = 420 kelvin and P = 18 kg/cm^2. Find the pressure when T = 140 kelvin and V = 60 cm^3.
Answers
The pressure of the gas is 7kg/cm^2.
How to determine the pressure of the gas?Joint Variation is a situation in which the value of one variable depends on two, or more, other variables when the other variables are held constant
Given that: The volume V of a fixed amount of a gas varies directly as the temperature T and inversely as the pressure P. This can be written as:
VαT and Vα 1/P
Combining the two relations gives:
Thus Vα T/P
V = kT/P (where k is a constant)
PV=kT
k = PV/T
P =kT/V
Given: V = 70 cm^3
when T = 420 kelvin
P = 18 kg/cm^2
k = 18×70 / 420
k = 1260/420
k = 3
Given: T = 140 kelvin and
V = 60 cm^3.
Find the pressure
P = kT/V
P = 3×140/60
= 420/60
= 7kg/cm^2
Therefore, the pressure when T = 140 kelvin and V = 60 cm^3 is 7kg/cm^2.
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Please help it's due to tomorrow
Answers
Answer:
Account A is incorrect the interest that you would earn is $8.60, not $860.00
Step-by-step explanation:
Evaluate the expression when m = -3.
2
m² -7m+6
Answers
Answer:
36
Step-by-step explanation:
substitute m = - 3 into the expression
m² - 7m + 6
= (- 3)² - 7(- 3) + 6
= 9 + 21 + 6
= 36
A car can travel
198 miles on 9
gallons of
gasoline. How
much gasoline will
it need to go 462
miles?
Answers
Answer:
21 gallons
Step-by-step explanation:
[tex]\frac{9}{198} \times 462 \\ \\ =\frac{462}{22} \\ \\ =21[/tex]
explanation : 198/9= 22
therefore 22 miles per gallon
462/22=21
Which equation is equivalent to the given equation?
x²- 10x = 14
-
(x - 10)² =-86
(x - 5)² = 39
(x - 5)²= = -11
(x-10)²= 114
Answers
A car dealership decreased the price of a certain car by 5%. The original price was $47,200.
What is the new value and the original value?
Answers
Answer:
New: $44,840 Original: 47,200
Step-by-step explanation:
You have to multiply 47,200 by 95% or 0.95
What is the slope-intercept form of the equation of the line shown in the graph?
Answers
An equation of this line shown in the graph in slope-intercept form is y = 0.75x + 5 or 3x/4 + 5.
How to calculate the slope-intercept form of the equation?Mathematically, the slope-intercept form of a line can be calculated by using this equation:
y = mx + c
Where:
m represents the slope.x and y are the points.c represents the intercept.From the graph of this line, we have the following parameters:
Point (x, y) = (60, 50)
Point (x, y) = (20, 80)
Mathematically, the slope of any straight line can be calculated by using this formula;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Slope, m = (80 - 50)/(20 - 60)
Slope, m = 30/40
Slope, m = 3/4 or 0.75
At point (60, 50), the intercept is given by:
y = mx + c
50 = 0.75(60) + c
50 = 45 + c
Intercept, c = 50 - 45
Intercept, c = 5.
Now, we can write the equation of this line in slope-intercept form as follows:
y = 0.75x + 5 or 3x/4 + 5.
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What is the largest multiple of 30 which is less than 520?
Answers
The largest multiple of 30 that is less than the number, 520, can be found to be 510.
How to find the multiple?To find the largest multiple that 30 has, which is also less than 520, first find the number of times that 30 can go into 520:
= 520 / 30
= 17.333
Then use this number to find the largest multiple below 520 by rounding 17.33 downwards to 17.
The multiple of 30 that is the largest and below 520 is then:
= 30 x Rounded down result of division of 520
= 30 x 17
= 510
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The scatter plot shows the relationship between the number of coffee drinks sold and the total expenses of a coffee shop.
The slope of the line is....
The intercept of the line is.....
The regression equation is
Answers
For the linear function built from the scatter plot, it is found that:
The slope of the line is of: 5.The intercept of the line is of: b = 500.The equation is of: y = 5x + 500.What is a linear function?The slope-intercept representation of a linear function is the rule presented as follows:
y = mx + b
The coefficients of the function and their meaning are listed as follows:
m is the slope of the function, representing the change in the numeric value of the output variable y when the input variable x increases by one.b is the y-intercept of the function, which is the numeric value of the output variable y when the input variable x has a value of 0.From the graph, we have that when x = 0, y = 500, hence the intercept of the line is:
b = 500.
When the input increases by 200, the output increases by 1000, hence the slope is:
m = 1000/2 = 5.
Thus the equation is:
y = 5x + 500.
Missing InformationThe graph is given by the image at the end of the answer.
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one number is 10 more than another. their product is -25
Answers
Answer: resource - trust me bro
Step-by-step explanation: Let x = the smaller numberLet 2x + 10 = the larger numberx(2x + 10) = 1002x^2 + 10x - 100 = 0Divide both sides of the equation by 2.x^2 + 5x - 50 = 0(x - 5)(x + 10) = 0x - 5 = 0 or x + 10 = 0x = 5 or x = -10, not a positive number2x + 10 = 2(5) + 10 = 20
Finding slope for (-1,1) and (5,4)
Answers
Answer:
Slope = 0.75
Step-by-step explanation:
Slope Formula: y2-y1/x2-x1
4-1/5-1=3/4=0.75
After a 31% mark up, you purchase a new television for $524. What was the original price of the television?
Answers
Answer:
162.4$
Step-by-step explanation:
mark me on brainliest please follow me to
Write a proof for the statement.
If a quadrilateral is a square, then the quadrilateral is a rectangle.
Answers
Proved that if a quadrilateral is a square then the quadrilateral is also a rectangle.
Explain quadrilaterals.A quadrilateral is a closed shape created by uniting four points, any three of which cannot be collinear. Four sides, four angles, and four vertices make up a quadrilateral.
Quadrilaterals have a few characteristics. The list is as follows.
Each side has four sides.
Each of them has four vertices.
Two diagonals are present.
360 degrees is the sum of all interior angles.
Given, to prove if a quadrilateral is a square, then the quadrilateral is a rectangle.
The Square has four equal sides, and all four angles are right-angled.
Rectangle has equal opposite sides, and all four angles are the right angle.
Here, the two sides of the square can be increased to form a rectangle.
Hence, proved that if a quadrilateral is a square then the quadrilateral is also a rectangle.
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The box plot shows the times for sprinters on a track team.
(A horizontal number line starting at 40 with tick marks every one unit up to 59. The values of 44, 48, 50.5, 53, and 56 are all marked by the box plot. The graph is titled Sprinters' Run Times, and the line is labeled Time in Seconds.)
What is the value of the upper quartile?
Answers
The five number from the box plot is presented as follows:
Minimum value: 44.First quartile: 48.Median: 50.5.Third quartile: 53.Maximum value: 56.What does a box-and-whisker plot shows?A box and whisker plot shows five things of a distribution, listed as follows:
The data set's lowest value.The value that 75% of the measures are larger than is found in the first quartile, which is the median of the data set's lowest 50% of measurements.
50% of the data set is less than the median and 50% is more than the median, which is the midpoint value of the data set.The third quartile, which is the median of the data set's top 50% of measurements, is the value that 75% of the measures fall below.The data set's maximum value.
These numbers, which make up the five number summary, are the values highlighted on the box plot from left to right, from the minimum value to the greatest value, passing through the first quartile, the median, and the third quartile.
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Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________
What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
x < –3
x > –3
x < 3
x > 3
Answers
The final solution of the inequality –2(5 – 4x) < 6x – 4 is x < 3.
How to solve inequality?Inequalities are expressions that have the <, >, ≤ and ≥ signs.
Therefore, let's solve the given inequality as follows:
–2(5 – 4x) < 6x – 4
open the brackets on the left side
–2(5 – 4x) < 6x – 4
-10 + 8x < 6x - 4
add 10 to both sides of the inequality
-10 + 8x < 6x - 4
-10 + 10 + 8x < 6x - 4 + 10
8x < 6x + 6
subtract 6x from both sides of the inequality
8x < 6x + 6
8x - 6x < 6x - 6x + 6
2x < 6
divide both sides of the inequality by 2
2x < 6
2x / 2 < 6 / 2
x < 3
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Salina and Nessa combined like terms using the same expression. Salina’s answer differs from Nessa’s. The table shows both of their solutions.
Salina
Nessa
6 x squared y minus 3 + x squared y + 2 x y squared + 2 x y minus 6 = 7 x squared y minus 9 + x squared y + 2 x y squared + 2 x y
6 x squared y minus 3 + x squared y + 2 x y squared + 2 x y minus 6 = 7 x squared y minus 9 + 2 x y squared + 2 x y
Which statement is correct regarding their solutions?
Salina combined the x squared y terms correctly but then left the Plus x squared y term in her answer.
Salina did not add the constant terms correctly.
Nessa combined the constants correctly but then left the Plus 2 x y squared term in her answer
Nessa did not combine the x squared y terms correctly.
Answers
The statement that is correct regarding their solutions is A. Salina combined the x squared y terms correctly but then left the Plus x squared y term in her answer.
How to illustrate the expression?From the information, Salina and Nessa combined like terms using the same expression.
The expression given is illustrated as.
6x²y - 3 + x²y + 2xy² + 2xy - 6
It should be noted that the like terms are:
6x²y and x²y as well as -3 and -6.
Combine the like terms
6x²y + x²y = 7x²y
Also, -3 + (-6) = -9
Therefore, the value will be 7x²y + 2xy² + 2xy - 9
The correct option is A as it illustrated the mistake Salina made.
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Answer:
A is the answer
Step-by-step explanation:
Two numbers have these properties.
Both numbers are greater than 6.
Their highest common factor (HCF) is 6.
Their lowest common
multiple (LCM) is 60.
Find the two numbers, writing your
answers on one line in the form,
The two numbers are .
and .. .
Answers
12 and 30 are the two numbers are greater than 6 with HCF 6 and LCM 60.
What is Highest common factor and Least Common Multiple?
Least Common Multiple is the entire name of LCM in mathematics, whereas Highest Common Factor is the full name of HCF. When two or more numbers are given, the HCF identifies the largest factor present, while the LCM defines the least number that is exactly divisible by two or more numbers.
Assume that the two numbers with HCF of 6 are 6a and 6b, where a and b are co-prime and a, b > 1.
HCF x LCM = Product of the numbers.
6 x 60 = 6a x 6b
10 = a x b
10 can be written as, 1 x 10 and 2 x 5.
But a and b > 1.
So, 10 = 2 x 5
a = 2, b = 5
Therefore, the two numbers are,
6a = 6(2) = 12 and
6b = 6(5) = 30
Hence, the two numbers with HCF 6 and LCM 60 are 12 and 30.
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what is the total cost of cake option 1
Answers
Answer:
give me the question dude......
Step-by-step explanation:
ASAP Write an equation of a quadratic formula with the given properties: f(3)=f(-5)=0;f(-6)=-36
Answers
The quadratic equation y = - 4 · x² - 8 · x + 60 contains the points (3, 0), (- 5, 0) and (- 6, - 36).
How to derive a quadratic equation that contains three points
In this question we find the coordinates of three points set on Cartesian plane and we are asked to find the quadratic equation that contains the these points. The standard form of the quadratic equation is shown below:
y = a · x² + b · x + c
Where:
x - Independent variable.y - Dependent variable.a, b, c - Real coefficients.We can determine the values of the three coefficients because the number of known points is equal to the number of coefficients. Then, we have the following system of linear equations by replacing x and y on each of the three points:
9 · a + 3 · b + c = 0
25 · a - 5 · b + c = 0
36 · a - 6 · b + c = - 36
Then, the solution to the system is found by numerical methods:
(a, b, c) = (- 4, - 8, 60)
The equation that contains the three points is y = - 4 · x² - 8 · x + 60.
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33 is 15 less than k
Answers
+15
48 = K
K = 48
8.7% increase of 525 what is answer
Answers
Answer:
Step-by-step explanation:
570.675
f(x)=x² +6
Find an equation for the tangent line to the graph of f(x) = x² +6 at (5,31).
y=
Answers
Answer:
y = x^2 + 6 given equation
y = m x + b equation of straight line required
dy/dx = 2 x tangent to given curve
dy/dx = slope = 2 * 5 = 10
Thus our line must be of the form
y = 10 x + b
31 = 10 * 5 + b at the point required
b = 31 - 50 = -19
Then our final equation becomes
y = 10 x - 19
Evaluate the power.
0.5² =
(Type a whole number or a decimal.)
Answers
0.25
A total of 600 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the
number of adult tickets sold. How many adult tickets were sold?
Answers
Answer:
150 adult tickets where sold
Step-by-step explanation:
If we multiply 150 times 3 that gives us 450, which acounts for all the students. And 150 is the number thats left of adults that adds up to 600.
For the experiment of rolling an ordinary pair of dice, find the probability that the sum will be less than 6 or greater than 9.
The probability that the sum will be less than 6 or greater than 9 is
Answers
The probability that the sum is 5/9.The additive dice roll has 36 different results, as explained. A sum of 9 is rolled using the numbers 6 (and vice versa) and 3 or 5 and 4. (and vice versa).
What is the likelihood of rolling two dice together?The additive dice roll has 36 different results, as explained. A sum of 9 is rolled using the numbers 6 (and vice versa) and 3 or 5 and 4. (and vice versa). Given that this is feasible 4 times out of 36, the probability calculated by adding the two dice is 4/36, or 1/9.
I am assuming that you are rolling two dice.
Probability of even: 18 "evens" out of 36 total outcomes = 18/36
→(1,1), (1,3), (1,5), (2,2), (2,4), (2,6), (3,1), (3,3), (3,5),(4,2), (4,4), (4,6), (5,1), (5,3), (5,5), (6,2), (6,4), (6,6)
Probability of greater than 9: 6 ">9s" out of 36 total outcomes = 6/36
→(4,6), (5,5), (5,6), (6,4), (6,5), (6,6)
Probability of both evens and >9s: 4 "both" out of 36 total outcomes = 4/36
→(4,6), (5,5), (6,4), (6,6)
evens OR >9s NOT both
18/36 + 6/8 - 4/36 = 20/36 = 5/9.
The probability that the sum is 5/9.
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The equation y = 11x represents a proportional relationship. What is the
constant of proportionality?
A.11
B.x
C.1/11
D.0
Answers
The constant of proportionality in the equation y = 11x is 11 , the correct option is (a) .
in the question ,
it is given that
the equation is y = 11x
also given that the equation is proportional relationship ,
we need to find constant of proportionality .
we know that the proportional equation is written as y = k*x
where k is the constant of proportionality , on comparing it with the equation y = 11x
, we get k = 11 ,
So , the constant of proportionality is = 11 .
Therefore , The constant of proportionality in the equation y = 11x is 11 .
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The tape diagram shows that Odalis is 132 cm tall, which is 150% of their sister Dalia's height.
132
Height (cm)
150%
Complete the table to show different percentages of Dalia's height.
Percentage
150% of Dalia's height
25% of Dalia's height
100% of Dalia's height
Answers
Answer:
150% = 132 cm, 25%= 22 cm, 100%= 88 cm
Given:
Height of Odalis = 132 cm
This height is 150%
Divided into 6 parts.
To find: Different percentages of Dallas's Height
Solution:
Dalia's Height = Odalis height * (100/150)
= 132 cm * (2/3)
= 88 cm.
150% of Dallas's Height is 132 cm.
25% of Dalia's Height = 1/4 * 88 = 22 cm
100% of Dalia's Height = 88 cm.
This can also be taken by parts.
6 parts = 150%
1 part = 150/6 = 25%
And 6 parts = 132 cm,
so, 1 part = 132/6 = 22cm.
so , 25% = 1 part= 22cm.
100% = 4 parts = 22*4 = 88 cm.
150% = 6 parts = 22*6 = 132 cm.
Hence, 150% = 132 cm
25%= 22 cm
100%= 88 cm
Step-by-step explanation:
Answer:The tape diagram shows that Odalis is 132 cm tall, which is 150% of their sister Dalia's height.
132
Height (cm)
150%
Complete the table to show different percentages of Dalia's height.
Percentage
150% of Dalia's height
25% of Dalia's height
100% of Dalia's height
Step-by-step explanation: Just look at the awnser
A margin of error tells us:
Answers
The margin of error tells you how many percentage points your results differ from the true population value.
What is margin of error?The margin of error is a close guess at a given level of probability about the confidence interval. It is denoted as a tiny percentage that is allowed for in the event of an error.
The amount of uncertainty associated with a survey result is referred to as the margin of error. It indicates how confident you can be in the outcome's accuracy. A smaller margin of error indicates that your survey is more precise. A confidence level is the probability that a survey will yield the same results if repeated.
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