From the observations, we can conclude that the probabilities form a geometric sequence, where each subsequent probability is a constant factor smaller than the previous one. Let's call this constant factor "q".
(i) Pn > Pn+1 for n = 0,1,2,3,4 means that Pn = P0 * q^n for some value of q such that 0 < q < 1.
(ii) The difference between Pn and Pn+1 is the same for n = 0,1,2,3,4 means that
Pn - Pn+1 = P0 * q^n - P0 * q^(n+1)
= P0 * q^n (1 - q) is the same for all n.
Let's call this difference "d".
d = P0 * q^n (1 - q) for all n.
We know that exactly 40% of policyholders file fewer claims during a given year, so P0 = 0.4.
Using this information, we can find q:
d = P0 * q^n (1 - q)
= 0.4 * q^n (1 - q)
= 0.4 * q^n - 0.4 * q^n * q
= 0.4 * q^n (1 - q)
= d.
So,
0.4 * q^n = d
And
q = d / (0.4 * q^n)
Substituting n = 0:
q = d / (0.4)
Now we can find P3 and P4:
P3 = P0 * q^3
P4 = P0 * q^4
Finally, the probability that a random policyholder will file more than three claims during a given year is
1 - (P0 + P1 + P2 + P3)
= 1 - (0.4 + 0.4 * q + 0.4 * q^2 + 0.4 * q^3).
Substituting the values we found for P0, q, and P3:
= 1 - (0.4 + 0.4 * q + 0.4 * q^2 + 0.4 * q^3)
= 1 - (0.4 + 0.4 * (d / 0.4) + 0.4 * (d / 0.4)^2 + 0.4 * (d / 0.4)^3)
= 1 - (1 + (d / 0.4) + (d / 0.4)^2 + (d / 0.4)^3)
This is the probability that a random policyholder will file more than three claims during a given year.
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A camel travelled across a desert at a bearing of 106° from an oasis.
If the camel stopped 27 km east of the oasis, how far south of the oasis did it stop?
Give your answer to 1 d.p.
The Camel stopped at 22.4 km south of the Oasis
How to solve for the distance that the Camel stoppedTo solve this problem, we can use basic trigonometry. If the camel travelled at a bearing of 106° from the oasis and stopped 27 km east of the oasis, we can use the tangent function to find the distance south of the oasis.
Let's call the distance south of the oasis "d". Then, using the tangent function:
tan 106° = d / 27
Solving for "d", we get:
d = 27 * tan 106°
Using a calculator, we can find the approximate value of d to be about 22.4 km.
So, the camel stopped about 22.4 km south of the oasis.
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Find market value and preferred shares and common shares
Answer:
Step-by-step explanation:
eres un pendejo
When a family has dental insurance, they are responsible for paying the deductible and any amount charged by their dentist that their insurance does not cover. A dental insurance policy states its family coverage as:
• $250 deductible (this means the family is responsible to pay for the first $250 of treatment)
•80% payment for charges that exceed $250 but do not exceed $1500
•50% payment for charges that exceed $1500
***The percent listed in the coverage is the amount the insurance company pays for (Hint: if the insurance company pays for 80% of the charges, then what percent does the family have to pay for?) ***
a) What is the family's payment if the dental charge is $680?
b) What is the family's payment if the dental charge is $4500?
c) Find a model that relates payments and charges.
The total payment of the family is given as $336
The family`s payment would be $2725
The model that elates payments and charges is Payment = $250 + (1 - insurance payment percentage) * (charge - $250)
How to solve for the paymenta) If the dental charge is $680, then the family's payment is:
Deductible: $250 (the family has to pay this first)
Remaining charges: $680 - $250 = $430
The insurance company pays for 80% of the remaining charges, which is 0.8 * $430 = $344
Therefore, the family has to pay for 100% - 80% = 20% of the remaining charges, which is 0.2 * $430 = $86
So, the total payment by the family is $250 + $86 = $336
b) If the dental charge is $4500, then the family's payment is:
Deductible: $250 (the family has to pay this first)
Remaining charges after deducting the deductible: $4500 - $250 = $4250
The insurance company pays for 80% of the remaining charges that do not exceed $1500, which is 0.8 * $1500 = $1200
So, the remaining charges for the family to pay after the insurance pays for the first $1500 of the remaining charges: $4250 - $1500 = $2750
The insurance company pays for 50% of the remaining charges that exceed $1500, which is 0.5 * $2750 = $1375
Therefore, the family has to pay for 100% - 50% = 50% of the remaining charges that exceed $1500, which is 0.5 * $2750 = $1375
So, the total payment by the family is $250 + $1200 + $1375 = $2725
c) The model that relates the payments and charges is:
Payment = $250 + (1 - insurance payment percentage) * (charge - $250)
where the insurance payment percentage is 80% if the charge is between $250 and $1500, and it is 50% if the charge exceeds $1500.
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suppose that in a year an american worker can produce 100 shirts or 20 computers and a chinese worker can produce 100 shirts or 10 computers
For each country, graph of computer the production possibilities frontier. Suppose that without trade the workers in each country spend half their time producing each good. Identify this point in your graphs.
Who has the comparative advantage in the production of shirts? What about for computers?
China has the comparative advantage in the production of shirts, while the US has the comparative advantage in the production of computers.
If these countries were open to trade, which country would export shirts? Give a specific numerical example and show it on your graphs. Which country would benefit from trade?
China would export 50 million shirts in exchange for 5 million computers (or more if they can). Trade would benefit the US since it will only need to trade 5 million computers in exchange for 50 million shirts, and it will still have 15 million computers that it can consume or trade with come other country.
Explain at what price of computers (in terms of shirts) the two countries might trade.
the minimum and maximum prices would be 5 to 10 shirts per computer. If the price of shirts per computer is 10 or near 10, then the US wins more. If the price of shirts per computer is 5 or near 5, then China wins more.
opportunity cost of producing 1 shirt in the US = 20/100 = 0.2 computers
opportunity cost of producing 1 computer in the US = 100/20 = 5 shirts
opportunity cost of producing 1 shirt in China = 10/100 = 0.1 computers
opportunity cost of producing 1 computer in China = 100/10 = 10 shirts
without trade:
total production of shirts in the US = 50 million
total production of computer in the US = 10 million
total production of shirts in China = 50 million
total production of computer in China = 5 million
with trade:
total production of computers in the US = 20 million
total production of shirts in China = 100 million
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Explain why or why not Determine whether the following statements are true and give an explanation or counterexample. a. The line
x=1
is a vertical asymptote of the function
f(x)= x 2
−1
x 2
−7x+6
. b. The line
x=−1
is a vertical asymptote of the function
f(x)= x 2
−1
x 2
−7x+6
. c. If
g
has a vertical asymptote at
x=1
and
x→1 +
lim
g(x)=[infinity]
, then
x→1 −
lim
g(x)=[infinity]
.
The line x=1 is a vertical asymptote of the function[tex]f(x)=x2−1x2−7x+6[/tex], but the line x=-1 is not, and the limit of a function approaching a vertical asymptote can be either positive infinity or negative infinity depending on the value of the function.
a. The line x=1 is a vertical asymptote of the function because when x tends to 1, the denominator tends to 0, resulting in an undefined value for the function.
b. The line x=-1 is not a vertical asymptote of the function [tex]f(x)=x2−1x2−7x+6[/tex] because when x tends to -1, the denominator does not tend to 0, resulting in a finite value for the function.
c. If g has a vertical asymptote at x=1 and[tex]x→1 +limg(x)=[infinity][/tex], then [tex]x→1 −limg(x)=[infinity][/tex] is not necessarily true. This is because the limit of a function approaching a vertical asymptote can be either positive infinity or negative infinity depending on the value of the function as it approaches the asymptote. For example, if g(x) = 1/x, then[tex]x→1 +limg(x)=[infinity][/tex] The line x=1 is a vertical asymptote of the function [tex]f(x)=x2−1x2−7x+6[/tex], but the line x=-1 is not, and the limit of a function approaching a vertical asymptote can be either positive infinity or negative infinity depending on the value of the function.
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Which of the fractions shown has the greatest value?
Answer:
1/6
Step-by-step explanation:
0.333 - 1/3
0.6667 - 1/6
0.2 - 2/10
0.2857 - 2/7
Using the region names in the image below, select all regions that represent:
A' ∩ B' ∪ C
3 group Venn Diagram with Roman numeral labeled regions
Not A intersection not B union C. Region I: Items only in group A, not in B or C. Region II: Items in A and B, but not C. Region III: Items only in B, not in A or C. Region IV: Items in A and C, but not B. Region V: Items in A, B, and C. Region VI: Items in B and C, but not A. Region VII: Items only in C, not in A or B. Region VIII: Items not in any of the groups.
The Venn diagram shown to Region V: Items in A, B, and C are represent A' ∩ B' ∪ C
It is given that the diagram we need to find the regions represent the set.
What do you mean by Venn diagram?A Venn diagram is an illustration that uses circles to show the relationships among things or finite groups of things. Circles that overlap have a commonality while circles that do not overlap do not share those traits. Venn diagrams help to visually represent the similarities and differences between two concepts.
So from the Venn diagram, the item represents the regions four, five, six and seven.
Therefore, it can be written us for Union Fight, Union Six, Union Seven. Therefore, we concluded that the regions represent see R. C.
Which is equal to for Union Fighting Union Six, Union Seven.
We have here, region represent A' ∩ B' ∪ C
Therefore, the Venn diagram shown to regions represent
A' ∩ B' ∪ C is Region V: Items in A, B, and C.
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using calculus, determine the value of c that minimizes mse(c). you must justify that this is indeed a minimum, and not a maximum.
The value of c that minimizes MSE is given by the equation above:
c = sum(y * x) / sum(x²)
Minimize MSE with CalculusTo determine the value of c that minimizes the mean squared error (MSE), we must first find the derivative of MSE with respect to c and set it equal to zero. This will give us the critical points, which can then be tested to determine if they correspond to a minimum or maximum.
Let MSE be denoted as J(c). The derivative of J with respect to c is given by:dJ(c) / dc = 2 * sum((y - (c * x)) * (-x)) / n
Setting this derivative equal to zero and solving for c, we find the critical point:c = sum(y * x) / sum(x²)
Next, we must determine if this critical point corresponds to a minimum or a maximum. To do this, we can take the second derivative of J with respect to c and evaluate it at the critical point:d² J(c) / dc² = -2 * sum(x²) / n
Since this second derivative is negative, it indicates that the critical point corresponds to a minimum, not a maximum. Thus, the value of c that minimizes MSE is given by the equation above:c = sum(y * x) / sum(x²)
Note that this method assumes that J(c) is a convex function, which is typically the case for the MSE loss function.
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The table shows the number of students graduating from a high school in selected years. Use a calculator to write a quartic model for the number of graduates in a given year since 1980. Then use the model to estimate the number of graduates in 1992.
P(x) ≈ 0.04x4 − 1.06x3 + 8.99x2 − 40.05x − 177.92
The estimated the number of graduates in 1992 is 367.
P(x) ≈ 0.14x3 + 1.95x2 − 20.17x − 191.86
The estimated the number of graduates in 1992 is 399.
P(x) ≈ −0.04x4 + 1.06x3 − 8.99x2 + 40.05x + 177.92
The estimated the number of graduates in 1992 is 367.
P(x) ≈ 0.14x3 − 1.95x2 + 20.17x + 191.86
The estimated the number of graduates in 1992 is 367.
The quartic regression equation is (a) y = -0.04x^4 + 1.06x^3 - 8.99x^2 + 40.05x + 177.92 and the estimated the number of graduates in 1992 is 367
How to determine the quartic regression equationFrom the question, we have the following parameters that can be used in our computation:
(-1,8), (5,-4), (7,8), (2,-6)
Using a graphing calculator, we have the following summary:
a0 = 177.9198a1 = 40.0522a2 = -8.9931a3 = 1.0627a4 = -0.0402Standard Error of Regression: 0.1001Coefficient of determination R²: 1The model from the above summary is
y = -0.0402x^4 + 1.0627x^3 - 8.9931x^2 + 40.0522x + 177.9198
Approximate
y = -0.04x^4 + 1.06x^3 - 8.99x^2 + 40.05x + 177.92
In the year 1992, we have
x = 12
So, we have
y = -0.04 * 12^4 + 1.06 * 12^3 - 8.99 * 12^2 + 40.05 * 12 + 177.92
Evaluate
y = 367
The estimated the number of graduates in 1992 is 367
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No entiendo nada de la fotografía
The numeric values of the graphed function are given as follows:
f(-2) = 2.f(0) = 3.f(4) = 1.How to obtain the numeric values from the graph?To obtain the numeric values from the graph, we must plot a vertical line at each x-coordinate, and then verify where the vertical line intersects the graph.
At x = -2, the vertical line would intersect the graph at y = 2, hence:
f(-2) = 2.
At x = -0, the vertical line would intersect the graph both at y = 1 and y = 3, however y = 3 has the closed circle, hence hence:
f(0) = 3.
At x = 4, the vertical line would intersect the graph at y = 1, hence:
f(4) = 1.
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ax+b=3(x-a) solve for x
In the expression ax + b = 3(x - a), the value of x is solved to be
x = b + 3a / (3 - a)How to solve for xTo solve for x the parenthesis is first expanded as below
ax + b = 3(x - a)
ax + b = 3x - 3a
collecting terms with x variables
b + 3a = 3x - ax
b + 3a = x(3 - a)
isolating x dividing through by (3 - a) will result to
b + 3a / (3 - a) = x(3 - a) / (3 - a)
b + 3a / (3 - a) = x
hence x = b + 3a / (3 - a)
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complete solutions manual a first course in differential equations with modeling applications ninth edition differential equations with boundary-vary problems tenth edition
A first course in differential equations with modeling applications ninth edition is a textbook that covers the basics of differential equations and their applications in mathematical modeling.
It begins with an introduction to the concepts of differential equations, including the definition, solution methods, and the concept of modeling. It then covers topics such as first-order linear equations, higher-order linear equations, systems of linear differential equations, and nonlinear equations. It also has a chapter on boundary-value problems, which is a type of differential equation that involves a set of boundary conditions that must be satisfied for the solution to be valid.
In order to solve differential equations with boundary-value problems, we must first define the boundary conditions that must be satisfied for the solution to be valid. This involves setting up the boundary conditions in terms of the dependent and independent variables of the equation. We then solve the equation using the boundary conditions and the equation itself. The solution is then used to calculate values for the independent and dependent variables at the boundary points. Finally, we can verify the solution by substituting the calculated values into the equation and seeing if the solution is valid.
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a media rental store rented the following number of movie titles in each of these categories: horror, drama, mystery, romance, and comedy. if a person selects a movie to rent, find the probability that it is a horror or comedy. enter your answer as a fraction or a decimal rounded to decimal places.
30.2% is the necessary probability that it is a horror or comedy movie title.
Given:
There are 168 films in the horror category.
There are 118 films in the mystery category.
The following formula can be used to get the total number of movies in the video rental store:
Total number of outcomes is = (168 + 220 + 118 + 308 + 134) =948
Let P (H) represent the likelihood that it will be a horror film, and P (M) represent the likelihood that it will be a mystery. In addition, we presumptively believe that a film can only fall into one of two categories: mystery or horror. The likelihood that a horror or mystery film will be chosen as a rental can be calculated as follows:
[tex]P(M or H) = P(H) + P(M)[/tex]
[tex]=\frac{168}{948} +\frac{118}{948}[/tex]
[tex]=\frac{168+118}{948}[/tex]
[tex]=\frac{286}{948}[/tex]
≈[tex]0.302[/tex]
Therefore, 30.2% is the necessary probability.
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Please convert this into slop intercept form! x + 5y < -5
x/(x-intercept) + y/(y-intercept) = 1x + 5y = 15x/15 + 5y/15 = 1x/15 + y/3 = 1Plot the points (15, 0) and (0, 3), and draw a line through them. That is your graph.
You are working with a hypothetical binary computer that stores integers as unsigned 4-bit words. What is the largest non-negative integer than can be represented on this computer?
The largest non-negative integer than can be represented on this computer is given as follows:
15.
How to obtain the largest number that can be represented with n bots?The largest non-negative integer that can be represented on an unsigned machine with n bits is given as follows:
N = 2^n - 1.
For this problem, the machine is of 4 bits, hence the parameter n is given as follows:
n = 4.
Hence the largest non-negative integer than can be represented on this computer is obtained as follows:
N = 2^4 - 1
N = 16 - 1
N = 15.
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A and B are sets of real numbers defined as follows.
A = {y]y>4}
B = {y|y≤8}
Write A U B and An B using interval notation.
If the set is empty, write.
A U B=
A n B=
The interval notation of the given sets of A and B are A U B : {z│z is all real Numbers (lR)} and A ∩ B : {z│4 < z ≤ 8} (less than equal to for 8).
What are sets in math?Sets are groups of clearly defined objects or elements in mathematics. A set is represented by a capital letter symbol, and the cardinal number of a set enclosed in a curly bracket indicates how many elements there are in a finite set.
A set can be of many different forms, such as an empty set or null set, which is one without any elements.
An illustration of a null set is A =.
It only has a finite number of components.
Instance: A = 1, 2, 3, 4.
The items of an infinite set are unbounded.
The set of all whole numbers is represented by the expression A = x.
A U B : {z│z is all real Numbers (lR)}
∩ means and common area in both hence:
A ∩ B : {z│4 < z ≤ 8} (less than equal to for 8)
The interval notation of the given sets of A and B are A U B : {z│z is all real Numbers (lR)} and A ∩ B : {z│4 < z ≤ 8} (less than equal to for 8).
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Which equation represents the graph?
a graph of a line that passes through the points 0 comma negative 3 and negative 1 comma 0
y equals negative one third times x minus 3
y = −3x − 3
y equals negative one third times x plus one third
y equals negative 3 times x minus one third
The equation which represents the graph is y = −3x − 3, the correct option is B.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
Given
Line that passes through the points 0 comma negative 3 and negative 1 comma 0
The equations;
y=-1x/3-3
y = −3x − 3
y = −1/3x + 1/3
y = −3x − 1/3
Now, solving the equations
(0,3)(1,0)
y = −3x − 3
y = −3*1 − 3
Therefore, the equation will be y = −3x − 3.
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A club’s first meeting was attended by many people. The second meeting was attended by 6 times as many people as the first meeting. If 72 people attended the second meeting, what equation could you use to find how many people attended the first meeting, ? A) 72 x p = 6 B) 6 - p = 72 C) 6 ÷ p = 72 D) 6 x p = 72
Answer:
12
Step-by-step explanation:
6
×12=72
=72answer is=12
Answer:
Step-by-step explanation:
srry need the points
Helppp pleasee!!
In your own words, write a definition for sales tax.
2) If you buy a meal from a restaurant that costs $15.00, and the tax is 7%, how much do you pay in taxes?
- Explain in detail, the steps you would take to solve this sales tax question.
The value of the tax for the meal is $1.05.
What Is a Sales Tax?The government levies a consumption tax known as a sales tax on the purchase of goods and services. At the point of sale, a standard sales tax is imposed, collected by the shop, and paid to the government.
Depending on the regulations in that country, a business may be responsible for sales taxes in that jurisdiction if it has a presence there, which can be a physical site, an employee, or an associate.
Given the cost of the meal = $15.00
and rate of tax = 7%
converting the rate of tax into decimal form,
rate of tax = 7% = 7/100
rate of tax = 0.07
amount of tax = cost x rate of tax
amount of tax = 15 x 0.07
amount of tax = $1.05
Hence the amount of tax is $1.05.
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A current exists whenever electric charges move. If Delta Q is the net charge that passes through a surface during a time period Delta t, then the average current during this time interval is defined as average current = Delta Q/Delta t=Q2-Q1/t2-t1. If we take the limit of this average current over smaller and smaller time intervals, we get what is called the current I at a given time t1: I=lim Delta t tends to 0 Delta Q/ Delta t =dQ/dt. Thus the current is the rate at which charge flows through a surface. The current in a wire is defined as the derivative of the charge: I(t) = Q'(t). What does Integrate I(t)dt between the limits a and b represent? It represents the change in the current I from time t = a to t = b. It represents the charge Q at time t. It represents the change in the charge Q from time t = a to t = b. It represents the current I at time t.
The integral of the current I(t) over the interval [a,b] represents the change in the charge Q from time t=a to t=b.
The current in an electrical circuit is defined as the rate at which charge is flowing through a conductor. The equation that represents the current is I(t) = dQ(t)/dt, where Q(t) is the charge at time t and dQ(t)/dt is the derivative of Q(t) with respect to time, representing the rate of change of charge.
The integral of I(t) with respect to time between the limits a and b, i.e. ∫I(t)dt between the limits a and b, represents the change in the charge from time t = a to time t = b. This is because the definite integral of a rate of change gives the total change in the quantity being measured, in this case, the charge.
So, [tex]\int\limits^a_b {|(t)} \, dt = Q(b) -Q(a)[/tex], which represents the change in the charge from time t = a to time t = b.
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find x and y with the following:
Answer:
Step-by-step explanation:
27)
x = 88
180 - 47 - 88 = 45
y = 180 - 88 - 45 = 47
28)
2x - 1 = 53
2x = 54
x = 54/2 = 27
(4y + 5) + 53 + 90 = 180
4y = 32
y = 32/4 = 8
Please help find the value of x and y
(picture included) please show work
Applying the classification angles, the values of x= 29° and y=8.5°.
Classification Angles
They are a lot of classifications for angles like complementary angles, supplementary angles, right angles, and others. See below:
complementary angles - two angles whose sum is equal to 90°. supplementary angles - two angles whose sum is equal to 180°. right angles - angles whose measure is 90°.alternate angles - angles on opposite sides of the transversal line. They are congruent.From the figure, it is possible to see that:
The angles (6x-36) and 138 are alternate angles. Because of this, they are congruent. Then,6x-36=138
6x=138+36
6x=174
x=174/6
x=29°
The angles (4y+8) and 138 are supplementary angles. Because of this, the sum of these angles is equal to 180°. Then,4y+8+138=180
4y=180-138-8
4y=180-146
4y=34
y=34/4
y=8.5°
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Please help, I suck at algebra!
Answer: 3 1/5
Step-by-step explanation:
I nelieve fdhat the answer to thisxquestion is 3 1/5
A backyard is rectangular with a length of 5/2 miles. If the area of the backyard is 3/9 square miles, what is its width?
Answer: width = 2/15 miles
Step-by-step explanation:
Area of a rectangle = l * w
In this case, our equation is 3/9 = 5/2 * w
What we need to do to find the width, is isolate the w variable.
To do so, the 5/2 is going to be divided by itself to get the variable w completely isolated.
With equations like this, whatever you do on one side, you do to the other. So, the area will also be divided by 5/2.
3/9 / 5/2 the common term "Keep, Change, Flip (KCF)" can be used to solve this.
You keep the first fraction as is, change the division sign to multiplication, and flip the second fraction to its reciprocal.
3 x 2 = 6
9 x 5 = 45
6/45 can be further reduced with the GCF of 3 resulting in your answer,
width = 2/15 miles
Nikhil and Mae work at the same company. Nikhil has been at the company 6 times as long as Mae. Nikhil's time at the company is 8 more than 4 times Mae's. The following system of equations models the scenario:
x = 6y
x = 8 + 4y
How many years has each person been employed by the company?
Nikhil has been with the company for 36 years, while Mae has been there for 6 years.
Nikhil has been with the company for 30 years, while Mae has been there for 5 years.
Nikhil has been with the company for 24 years, while Mae has been there for 4 years.
Nikhil has been with the company for 18 years, while Mae has been there for 3 years.
The number of years that each person would have been employed would be that Nikhil has been with the company for 24 years, while Mae has been there for 4 years. That is option C.
How to calculate the number of years each person has been employed?Nikhil has been at the company 6 times as long as Mae.
That is,
x = 6y-----> equation 1
where X= Nikhil
y = Mae
Nikhil's time at the company is 8 more than 4 times Mae's.
That is,
x = 8 + 4y----> equation 2
To solve for each years, substitute for X into equation 2;
6y = 8+4y
8 = 6y-4y
8 = 2y
y = 8/2 = 4
Substitute y into equation 1;
X= 6×4
X= 24
Therefore, Nikhil has been with the company for 24 years, while Mae has been there for 4 years.
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Answer: Option C. Nikhil has been with the company for 24 years, while Mae has been there for 4 years.
Step-by-step explanation:
a firm with an 8% dividend growth rate and a return on equity of 20% must have a plowback ratio of %. multiple choice question. 40 2.5 67
Option d. 88 is the correct answer. A firm with an 8% dividend growth rate and a return on equity of 20% must have a plowback ratio of % of 88.
The equation for the payout proportion (P) is:
P = Profits/Income
The equation for the plowback proportion (PB) is:
PB = 1 - P
Where Profits is how much profits paid out, and Income is the net gain of the firm.
On the off chance that a firm has a profit development pace of 8% and a profit from value of 20%, then we can utilize the accompanying equation to compute its income:
Profit = Profits/(Return on Value - Profit Development Rate)
Connecting the numbers, we get:
Profit = Profits/(0.2 - 0.08) = Profits/0.12
Now that we know the recipe for income, we can find the payout proportion:
P = Profits/Income = Profits/(Profits/0.12) = 0.12
Lastly, the plowback proportion:
PB = 1 - P = 1 - 0.12 = 0.88
So the firm unquestionable necessity a plowback proportion of 88%. Subsequently, the right response is: 67%.
The plowback proportion is the piece of income that a firm holds as opposed to delivering as profits. It's determined as 1 short the payout proportion, which is the proportion of profits to income. To find the plowback proportion for a firm with a 8% profit development rate and 20% profit from value, you can utilize a recipe to find its income and afterward work out the payout proportion lastly deduct it from 1 to find the plowback proportion. The plowback proportion is 88%.
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The firm with an 8% dividend growth rate and a return on equity of 20% must have a plowback ratio of %. multiple choice question.
a. 40
b. 2.5
c. 67
d. 88
9^-5*9^-3 Rewrite using a single positive exponent plssss
Answer:
[tex]\frac{1}{9^{8}}[/tex]
Step-by-step explanation:
When multiplying two numbers with exponents with the same base, you simply add the two exponents together, even if they're negative:
[tex]9^{-5}*9^{-3} =9^{-8}[/tex]
When a number has a negative exponent ([tex]x^{-2}[/tex]) it means that the number is equal to 1/that number ([tex]\frac{1}{x^{2}}[/tex])
[tex]9^{-8}=\frac{1}{9^{8}}[/tex]
the park sprinkler can spray 1748 gallon of water on the grass in 38 minutes how many gallon can they spray in one minute
The spray rate of the park sprinkler is equal to 46 gallons per minute.
What is the spray rate of a park sprinkler?
In this problem we find that a park sprinkler that can spray a capacity of 1,748 gallon of water in a time of 38 minutes and we are asked to calculate the spray rate by the following fomula:
r = Q / t
Where:
Q - Capacity, in gallons.t - Time, in minutes. r - Spray rate, in gallons per minute.If we know that Q = 1748 gallon and t = 38 min, then the spray rate is:
r = (1748 gallon) / (38 min)
r = 46 gallons per minute
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A gardener makes a new circular flower bed. The bed is twelve feet in diameter. Calculate the circumference and the
area of the circular flower bed.
circumference=12 feet, area = 12 square feet
circumference=12r feet, area = 144
square feet
circumference = 6 feet, area = 36
square feet
circumference 12 feet, area = 36 square feet
The circumference and the area of the circular flower bed are given as follows:
Circumference: 12π units.Area: 36π units squared.What are the area and the circumference of a circle?The area of a circle of radius r is given by π multiplied by the radius squared, as follows:
A = πr²
The radius is half the diameter, hence it has the value given as follows:
r = 0.5d
r = 0.5 x 12
r = 6.
Then the area is obtained as follows:
A = π x 6²
A = 36π units squared.
The circumference is given by the multiplication of the diameter by π, hence:
C = 12π units.
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Using f(x) = 2x + 7 and g(x) = x - 3, find f(g(-2)).
Answer:
f(g(-2)) = -3
Step-by-step explanation:
2((-2) - 3) + 7
2(-5) + 7
-10 + 7
-3
Hope this helps!