Answer:
Step-by-step explanation:
To calculate the rate of return when 35 shares of Stock A, purchased for $20/share, are sold for $815, you can use the following formula1:
Rate of Return = (Proceeds - Cost - Commission) / Cost
where Proceeds is the amount received from selling the shares, Cost is the amount paid for the shares, and Commission is the commission paid on the sale1. Plugging in the values, we get:
Rate of Return = (815 - (35 * 20) - 6) / (35 * 20) = 0.2875
Multiplying by 100 to convert to a percentage, we get a rate of return of 28.75%1.
if the angels of a quadrilateral are x, 2x and 3x. what is the value of x.
calculate the size of the largest angel.
Answer:
Step-by-step explanation:
The sum of angles in a quadrilateral is 360 degrees. So, we have:
x + 2x + 3x + fourth angle = 360
6x + fourth angle = 360
fourth angle = 360 - 6x
To find the value of x, we can use the fact that the angles in a quadrilateral add up to 360 degrees:
x + 2x + 3x + (360 - 6x) = 360
6x + 360 - 6x = 360
360 = 360
This equation is true for any value of x, so we cannot solve for x.
To find the size of the largest angle, we can substitute any value of x into the expression for the fourth angle and then find the largest of the four angles. For example, if we choose x = 30, then the angles are:
x = 30 degrees
2x = 60 degrees
3x = 90 degrees
fourth angle = 360 - (x + 2x + 3x) = 180 degrees
So the largest angle is 180 degrees.
Given the exponential growth function f ( x ) = 81 ( 1.0225 ) x What is the initial value of the function? What is the growth factor, or growth rate of the function (as a percent)?
The initial value of the function is 81.
The growth factor, or growth rate of the function is 2.25%.
How to the initial value of the function?
An exponential function is a type of function which involves exponents. The general form of the exponential function is f(x) = a(1 + r)ˣ.
Where a is the initial value of the function and r is growth factor, or growth rate of the function.
We have the exponential growth function f(x) = 81(1.0225)ˣ.
Comparing f(x) = 81(1.0225)ˣ with f(x) = a(1 + r)ˣ. We can say:
a = 81
Thus, the initial value of the function is 81.
comparing again, we can say:
1 + r = 1.0225
r = 1.0225 - 1
r = 0.0225
r = 0.0225 * 100
r = 2.25%
Thus, the growth factor, or growth rate of the function is 2.25%.
Learn more about exponential function on:
brainly.com/question/27161222
#SPJ1
7. The table below represents the relationship
between cups of flour, fand cups of sugar, s
needed to make cookie dough.
Flour and Sugar in Cookie Dough
Cups of flour (f)
1
2
3.5
5.25
Cups of sugar (s)
2
4
7
10.5
Which equation correctly shows the relationship
between the cups of flour, fand cups of sugar, s
needed to make the cookie dough?
A f = 1/s
B s=²f
C s=3.5f
D f = 2s
The equation that correctly shows the relationship between cups of flour and sugar is f = 1/2s. Option A
How do we form the equation that represents the relationship between flour and sugar?if 1 cup of flour needs 2 cups of sugar.
2 cups of flour need 4 cups of sugar.
3.5 cups of flour need 7 cups of sugar.
5.25 cups of flour need 10.5 cups of sugar.
This only means that the size of sugar is twice the size of flour. Therefore to form our equation, we say
sugar = 2flour. But since the option is not there,
we can also go for
f = 1/2s
3.5 = 1/2 × 7
3.5 = 3.5
Find more exercises on forming equations;
https://brainly.com/question/28695475
#SPJ1
Find the equivalent expression of 5^-4
the equivalent expression of 5^-4 is 1/625
What are index forms?Index forms are defined as mathematical forms that are used in the representation of numbers or variables that are too large or too small.
They are also called scientific notation or standard forms.
They are represented as a number or variable that is raised to an exponent.
Examples of index forms are;
a³, c²
5², 6³
From the information given, we have;
5^-4
Note that equivalent expressions are described as expressions that have the same solution but different arrangement of values
Then, we have;
1/5⁴
Find the fourth root
1/625
Learn about index forms at: https://brainly.com/question/15361818
#SPJ1
Jada is the 36th customer. Will she get a prize? If so, what prize will she get? Is it possible for her to get more than one prize? How do you know? Explain your reasoning.
Jada will receive a prize and what prize she will receive depends on the specific details of the prize allocation process.
If there are exactly 36 prizes available and they are being allocated in sequential order, then Jada will receive a prize because she is the 36th customer.
However, if there are fewer than 36 prizes available or if they are being allocated randomly, then Jada may or may not receive a prize.
It is possible that Jada will receive a specific prize designated for the 36th customer, or she may receive a prize that is randomly allocated to any customer.
It is also possible for Jada to receive more than one prize if the prizes are being allocated in a way that allows customers to receive multiple prizes.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ1
please help, i’m very confused
The number of days the family were on vacation is 20 days.
What is the number of days the family was on vacation?The number of days the family were on vacation is calculated as follows;
Let's consider morning and afternoon as a half day.
From the question we will have the following equation;
12 mornings + 13 afternoons = 25 half days.
25 - 15 days of raining = 10 half days
10 half days = 5 mornings and 5 afternoons with no rain.
The number of days they stayed is calculated as;
15 + 5 = 20 days.
Learn more about number of days at vacation here: https://brainly.com/question/19260584
#SPJ1
Input Area
Shares outstanding 8,700,000
Share price $46.50
Purchase price of land $65,000,000
Perpetual earnings increase $14,000,000
Current cost of capital 12.50%
Cost of new debt 8%
Optimal equity weight 70%
Optimal debt weight 30%
Tax rate 21%
Output area:
1. If Stephenson wishes to maximize its total market value, would you recommend that it issue debt or equity to finance the land purchase? Explain.
Assets ?? Equity??
Total assets?? Debt & Equity ??
Perpetual aftertax earnings??
NPV of purchases??
3. Balance Sheet
Old assets??
NPV of Project?? Equity??
Total assets?? Debt & Equity ??
New share price? ?
Shares to issue? ??
4. Balance Sheet
Cash???
Old assets??
NPV of project?? Equity ??
Total assets ?? Debt & Equity ??
Total shares outstanding ? ?
Share price ?? ?
PV of earnings increase ?? ?
Balance Sheet
5. Old assets??
PV of project ??? Equity ?? ?
Total assets ?? ? Debt & Equity ??? ?
Value of levered company ?? ? <---VL = VU+TC*D Note*: TC = Tax rate
Balance Sheet
Value unlevered?? ? Debt ?? ?
Tax shield value?? ? Equity ?? ?
Total assets ?? ? Debt & Equity ?? ?
Stock share price???
6. Which method of financing maximizes the per share stock price of Stephenson's equity?
Let [tex]f(x)=2(3)^x^+^1[/tex]. Evalulate [tex]f(2)[/tex] without using a calculator. Do not include [tex]f(2)[/tex] in your answer.
[tex]f(x)=2(3)^{x+1} \\\\[-0.35em] ~\dotfill\\\\ f(2)=2(3)^{(2)+1}\implies f(2)=2(3)^3\implies f(2)=2(3^3) \\\\\\ f(2)=2(27)\implies f(2)=54[/tex]
Evaluate the expression. C(11, 0)
The value of C(11, 0) is 1.
We have to find C(11, 0)
Using the definition of Combination
C(n, r) = n!/ r1 (n-r)!
Here, n =11 and r= 0
So, C( 11, 0)
= 11! / 0! (11-0)!
= 11! / 1 x 11!
= 1
Thus, the value of C(11, 0) is 1.
Learn more about Combination here:
https://brainly.com/question/13387529
#SPJ1
What are the domain and range of the piecewise function
The domain of the function is, (-4, +∞) - {6}
And the range of the function is, R - [-2,0).
Since, The domain of a function is the set values of x for which the function is defined.
And, The range of a function is the set values of y for which the function is defined.
As we can see that the graph of the function can be defined everywhere except on 6 at the x-axis, and between 0 to -2 on the y-axis. therefore,
Domain = (-4, +∞) - {6}
Range = R - [-2,0)
Hence, the domain of the function is (-4, +∞) - {6} and the range of the function is R - [-2,0).
Learn more about Domain and Range:
brainly.com/question/12208715
#SPJ1
In a right triangle, cos(7x) = sin(5x−6). Find the smaller of the triangle’s two acute angles.
The smaller of the triangle’s two acute angles is 34 degrees
Finding the smaller of the triangle’s two acute angles.From the question, we have the following parameters that can be used in our computation:
In a right triangle, cos(7x) = sin(5x−6)
As a general rule in a right triangle,
if cos(a) = sin(b), then
a + b
Using the above as a guide, we have the following:
7x + 5x - 6 = 90
So, we have
12x = 96
Divide
x = 8
Next, we have
Angles = 7x and 5x - 6
So, we have
Angles = 7 * 8 and 5 * 8 - 6
Evaluate
Angles = 56 and 34
Hence, the smaller of the triangle’s two acute angles is 34 degrees
Read more about right triangle at
https://brainly.com/question/2437195
#SPJ1
An object is thrown upward from the top of a 64-foot building with an initial velocity of 48 feet per second. The height h of the
object after t seconds is given by the quadratic equation h= -16t² +48t+ 64. When will the object hit the ground?
The object will hit the ground when the time is how many seconds..
The object will hit the ground after 4 seconds.
We have,
The object will hit the ground when its height is zero.
So we need to solve the equation:
h = -16t² + 48t + 64 = 0
We can simplify this equation by dividing both sides by 16:
-t² + 3t + 4 = 0
To solve for t, we can use the quadratic formula:
t = (-b ± √(b² - 4ac)) / 2a
where a = -1, b = 3, and c = 4.
Plugging in these values, we get:
t = (-3 ± √(3² - 4(-1)(4))) / 2(-1)
t = (-3 ± √(9 + 16)) / -2
t = (-3 ± √(25)) / -2
t = (-3 ± 5) / -2
We get two possible solutions:
t = -1 and t = 4.
Since time cannot be negative, we can discard the negative solution.
Therefore,
The object will hit the ground after 4 seconds.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ1
5. Find x.
Trapezoids Worksheet
Answer:
(1/2)(x + 4 + 100) = 3x
x + 104 = 6x
5x = 104, so x = 20.8
Help please . Find the surface of the area
The surface area of this cuboid is 130 cm^2
What is a Cuboid?Cuboid is a closed three-dimensional structure surrounded by rectangular faces, which are rectangle plane sections.
How to determine this
The surface area of cuboid is the total area of all its 6 faces.
SA = 2{(Length * Height) + (Width * Length) + (Width * Height)
Where Length = 10 ft
Width = 5 ft
Height = 1 ft
SA = 2{(10*1) + (5*10) + (5*1)
SA = 2(10 + 50 + 5)
SA = 2(65)
SA = 2 * 65
SA = 130 ft^2
Therefore, the surface area of cuboid is 130 ft^2
Read more about Cuboid
https://brainly.com/question/26403859
#SPJ1
Find the volume of the rectangular prism. 5 yd 5 yd 5 yd
Answer:
To find the volume of a rectangular prism, we multiply its length by its width by its height.
Here, the length, width, and height are all 5 yards, so we have:
Volume = length x width x height
Volume = 5 yd x 5 yd x 5 yd
Volume = 125 cubic yards
Therefore, the volume of the rectangular prism is 125 cubic yards.
Can someone help me with this problem please? I'll give extra points :(
Answer:
y = 2x + 1.5
Step-by-step explanation:
You can find two points and derive an equation.
Two obvious points are (0, 1.5) and (2, 5.5).
Using the form y = mx + b, you can find the slope m by using the formula [tex](y_1-y_2)/(x_1-x_2)[/tex].
m = (1.5-5.5)/(0-2) = -4/-2 = 2.
You can find b by plugging in your m value and one of the two points.
y = 2x + b
1.5 = 2*0 + b
b = 1.5
Thus, your equation is y = 2x + 1.5.
$4,028 is invested, part at 14% and the rest at 7% . If the interest earned from the amount invested at 14% exceeds the interest earned from the amount invested at 7% by $313.39 , how much is invested at each rate?
$2,835 is invested at 14% and $1,193 is invested at 7%.
We have,
Let x be the amount invested at 14% and y be the amount invested at 7%.
We know that x + y = 4,028 and that the interest earned from the amount invested at 14% exceeds the interest earned from the amount invested at 7% by $313.39.
The interest earned on x is 0.14x and the interest earned on y is 0.07y.
We can set up an equation based on the given information:
0.14x - 0.07y = 313.39
We can solve for one of the variables in terms of the other:
y = 4,028 - x
Substitute this into the equation we just created:
0.14x - 0.07(4,028 - x) = 313.39
Simplify and solve for x:
0.14x - 281.96 + 0.07x = 313.39
0.21x = 595.35
x = 2,835
Now we can find y:
y = 4,028 - x = 4,028 - 2,835 = 1,193
Therefore,
$2,835 is invested at 14% and $1,193 is invested at 7%.
Learn more about equations here:
https://brainly.com/question/17194269
#SPJ1
Find the mode for the following group of data items. If there is no mode, so state.
21, 18, 17, 16, 22, 19, 15, 17
Select the correct choice below and, if necessary, fill in the answer box within your choice.
A. The mode(s) is/are (Use a comma to separate answers as needed.)
B. There is no mode.
The mode of the given data set as required to be determined in the task content is; 17.
What is the mode of the data set as required?It follows from the task content that the mode of the given data set is to be determined.
Recall from definition that the mode of a given data set is the observation or data value which occurs most frequently; i.e with the highest frequency.in the data set.
On this note, since 17 appears most frequently in the data set; It follows that the mode is ; 17.
Read more on mode of a data set;
https://brainly.com/question/27358262
#SPJ1
What are the magnitude and direction is u+v+w? ||v|= 60 ||w||=50 ||u||= 80
The angle formed between this vector and the positive x-axis measures around 61.26° and goes in a counterclockwise direction.
How to solveFirst, we calculate the components:
u = (80cos(30°), 80sin(30°)) ≈ (69.28, 40.00)
v = (60cos(60°), 60sin(60°)) ≈ (30.00, 51.96)
w = (50cos(120°), 50sin(120°)) ≈ (-25.00, 43.30)
Now, let's find the resultant vector (u+v+w):
u+v+w = (69.28 + 30.00 - 25.00, 40.00 + 51.96 + 43.30) ≈ (74.28, 135.26)
The magnitude of the resultant vector ||u+v+w|| can be found using the Pythagorean theorem:
||u+v+w|| = √(74.28² + 135.26²) ≈ 152.44
To find the direction, we calculate the angle θ:
θ = atan2(135.26, 74.28) ≈ 61.26°
The total size of the composite vector, obtained by adding u, v, and w, amounts to a value close to 152.44.
The angle formed between this vector and the positive x-axis measures around 61.26° and goes in a counterclockwise direction.
Read more about vectors here:
https://brainly.com/question/25811261
#SPJ1
The three vectors are in two-dimensional space and have the following components:
u = (80cos(30°), 80sin(30°))
v = (60cos(60°), 60sin(60°))
w = (50cos(120°), 50sin(120°))
What are the magnitude and direction is u+v+w? ||v|= 60 ||w||=50 ||u||= 80
Triangle 1 is dilated by a scale factor of 4.1 using the origin as the center of dilation to create Triangle 2. How is this done
The correct statement about the area and perimeter of Triangle 2 is true is:
The perimeter is 4.1 times the perimeter of Triangle 1, and the area is 16.81 times the area of Triangle 1.
What are the coordinates after dilation of triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
We have to given that;
Triangle 1 is dilated by a scale factor of 4.1 using the origin as the center of dilation to create Triangle 2.
Now, We get;
The Triangle 1 is dilated by a scale factor of 4.1 using the origin as the center of dilation to create Triangle 2.
Hence, The perimeter of triangle 2 is 4.1 times the perimeter of Triangle 1.
And, We know that;
Area of triangle = 1/2 x Base x Height
So, The area of triangle 2 is 16.81 times the area of Triangle 1.
Read more about Triangle Coordinates at: https://brainly.com/question/7644338
#SPJ1
The missing options are:
A. The perimeter is 4.1 times the perimeter of Triangle 1, and the area is 4.1 times the area of Triangle 1.
B. The perimeter is 8.2 times the perimeter of Triangle 1, and the area is 8.2 times the area of Triangle 1.
C. The perimeter is 4.1 times the perimeter of Triangle 1, and the area is 16.81 times the area of Triangle 1.
D. The perimeter is 16.4 times the perimeter of Triangle 1, and the area is 16.81 times the area of Triangle 1,
what is the answer to this
The area of the given square is 10 cm².
Given that,
The one square grid is of 1 cm²
Now labeling the figure
Since length of each side of square are equal
Therefore the length of sides of square is nothing but distance between the points (2,5) and (3,2).
Use distance formula
⇒[tex]\sqrt{(3-2)^{2} +(2-5)^{2} }[/tex]
⇒√10
So side of square = √10 cm
Thus area of square = side x side
= √10 x √10
= 10 cm²
Hence area = 10 cm²
To learn more about square visit:
https://brainly.com/question/1658516
#SPJ1
Find the value of x.
2x +S
60°
The value of the variable is 11
How to determine the valueTo determine the value of the variable, we need to know the triangle sum theorem.
The triangle sum theorem states that the sum of the angles in a triangle is 180 degrees.
From the diagram shown, we have that;
The angles are;
90 degrees
60 degrees
2x + 8
add the values
90 + 60 + 2x + 8= 180
collect the like terms, we get;
158 + 2x = 180
then,
2x = 22
Make 'x' the subject
x = 11
Learn more about triangles at: https://brainly.com/question/1475130
#SPJ1
a. What is the number of degrees of freedom that should be used for finding the critical value ta/2?
b. Find the critical value ta/2 corresponding to a 95% confidence level.
c. Give a brief general description of the number of degrees of freedom.
a. The number of degrees of freedom that should be used for finding the critical value to/2 is 49.
b. Using a t-distribution table or a calculator, we get: by/2 = 2.0096 (rounded to four decimal places)
c. The correct option is D. The number of degrees of freedom for a collection of sample data is the number of sample values that can vary after certain restrictions have been imposed on all data values.
a. The number of degrees of freedom that should be used for finding the critical value to/2 is given by the formula df = n - 1, where n is the sample size.
Therefore, in this case, df = 50 - 1 = 49.
b. To find the critical value tα/2 corresponding to a 95% confidence level, we need to use a t-distribution table with 49 degrees of freedom.
For a two-tailed test at the 0.025 level of significance (α/2), we find that tα/2 = 2.0096 (rounded to four decimal places).
Therefore, by/2 = 2.0096.
c. The number of degrees of freedom for a collection of sample data is the number of sample values that can vary after certain restrictions have been imposed on all data values.
This restriction is typically imposed when estimating a population parameter from a sample statistic. The number of degrees of freedom is determined by subtracting 1 from the sample size (n-1).
The concept of degrees of freedom is important in statistical inference and hypothesis testing, as it affects the critical value used in determining whether a hypothesis is statistically significant.
Learn more about Critical value at
/brainly.com/question/31405519
#SPJ1
What is the measure of angle k?
102
118
134
156
Answer:
118 degrees because it’s opposite of angle M which is also 118
Step-by-step explanation:
pls mark brainliest
Please answer all questions by today
Darrell has $4,873 in an account that earns 5% interest compounded annually.
To the nearest cent, how much interest will he earn in 2 years?
Answer:
Darrell will earn $499.48---------------------
Use the formula for compound interest:
[tex]A = P(1 + r/n)^{nt}[/tex]where,
A = the future amount,P = $4873, the initial amount, r = 5% = 0.05, the annual interest rate,n = 1, the number of compounds per year,t = 2, the time in years.Plugging in the values given, we get:
[tex]A = 4873(1 + 0.05/1)^{1\cdot2} = 4873(1.05)^2 = 5372.48[/tex]To find the interest earned, subtract the principal from this amount:
Interest = 5372.48 - 4873 = 499.48What command bisects and divides angles?
A.
Line Command
B.
Midpoint object snap Command
C.
Endpoint object snap Command
D.
Copy Command
E.
Circle Command
The command that bisects and divides angles is: A. Line Command.
What is a line command?You must draw two lines starting at the angle's terminus and extending to any point on the angle in order to bisect an angle using the Line command. Next draw a line through the angle's vertex and the intersection of the two lines you just drew using the "bisector" tool from the "Object Snap" menu.
You can draw a line from the angle's vertex to any point on the angle and then use the "Divide" command to divide that line into the necessary number of segments to divide an angle using the Line command. Angles are divided into equal pieces at the spots where the divided line crosses them.
Therefore the correct option is A.
Learn more about line command here:https://brainly.com/question/25808182
#SPJ1
PLEASE HELP ME :((
What vector describes the translation from
R
a) shape R to shape T?
b) shape T to shape R?
Y
6-
5 & 3
4-
2-
1-
-6 -5 -4 -3 -2 -1 0
-1-
-2-
--3+
-4-
-5-
-6+
1
+
T
2 3 4 5 6
X
The vectors that describe the translation between the shapes are <-6, -6> and <6, 6>
What vector describes the translation between the shapesa) shape R to shape T
We are given shapes R and T
The shape R is translated down by 6 units and translated right by 6 units
As a vector, we have the following representation <-6, -6>
b) shape T to shape R?
This is the reverse of the above transformation
i.e. the shape T is translated up by 6 units and translated left by 6 units
As a vector, we have the following representation <6, 6>
Read more about transformation at
https://brainly.com/question/4289712
#SPJ1
please help me i just need this one more
The value of angle S and angle R is 95⁰ and 110⁰ respectively.
What is the value of angle S and angle R?The value of angle S and angle R is calculated as follows;
11y + 7y = 180 (opposite angles of cyclic quadrilateral are supplementary)
18y = 180
y = 180/18
y = 10
(3x - 5) + (3x + 5) = 180 (opposite angles of cyclic quadrilateral are supplementary)
6x = 180
x = 180/6
x = 30
Angle S = 3x + 5
= 3(30) + 5
= 95⁰
Angle R = 11y
= 11 x 10
= 110⁰
Learn more about cyclic quadrilateral here: https://brainly.com/question/10057464
#SPJ1
Margo borrows $500, agreeing to pay it back with 6% annual interest after 7 months. How much interest will she pay?
Margo will pay an interest of $17.50.
To calculate the interest that Margo will pay, we first need to find the interest rate for 7 months.
The annual interest rate is 6%, so the monthly interest rate is:
6% / 12 months = 0.5% per month
Now, we can calculate the interest that Margo will pay on the $500 loan:
Interest = Principal x Rate x Time
where Principal is the amount borrowed, Rate is the monthly interest rate, and Time is the time period in months.
Plugging in the values, we get:
Interest = $500 x 0.5% x 7 months = $17.50
Therefore, Margo will pay $17.50 in interest.
Learn more about simple interests here:
https://brainly.com/question/22621039
#SPJ1
