What is the graph of each function rule?

The required return rate is 12.5%. The value of the stock is calculated by discounting the future dividends and the price target back to the present value that is $36.0153

To compute the value of the stock, we can use the formula for the dividend discount model:

Value of Stock = Dividend / \((1 + Required Return Rate)^n\) + Dividend / \((1 + Required Return Rate)^{(n+1)}\) + Price Target / \((1 + Required Return Rate)^{(n+2)}\)

In this case, the dividends are $2.55 and $2.70, the required return rate is 12.5%, and the price target is $40. The dividends are discounted back to the present value using the required return rate, and the price target is discounted back two years. By plugging in the values into the formula and calculating, we can find the value of the stock.

Using the given values, the value of the stock with a required return of 12.5% is calculated as follows:

Value of Stock = $2.55 /\((1 + 0.125)^1\) + $2.70 / \((1 + 0.125)^2\) + $40 /\((1 + 0.125)^2\)

Value of Stock ≈ $36.0153

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Answer:

Simple percent interest per year is the interest earned divided by the principal multiplied by 100.

The interest earned is the final amount minus the initial amount, $108 - $100 = $8

To find the simple percent interest per year:

Simple Interest = (Principal x Interest rate x time) / 100

so

Interest rate = (Simple Interest * 100) / (Principal * time)

Plug in the values:

Interest rate = (8 * 100) / (100 * 1) = 8%

So the simple percent interest per year is 8%

Based on the histogram, the shape of the distribution would be Skewed left.

A histogram is an approximate representation of the distribution of numerical data

When the highest values of a distribution appear as the distribution increases, this will lead to a skewed left distribution.

As is shown by the frequency table, the hours spent in yard per month increased so the distribution will be skewed left.

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Answer: The expression (st)(6) means to substitute the value of 6 into the function (st) which is the composition of two functions s and t. The order of applying the functions is crucial, so the first function s will be applied to the result of the second function t after being applied to the 6. So the correct equivalent of (st)(6) is s(t(6))

Step-by-step explanation:

A firm should record an impairment in the value of property, plant, or equipment by reducing the carrying amount of the asset and recognizing the impairment loss as an expense in the financial statements.

When the value of property, plant, or equipment is impaired, meaning its recoverable amount is lower than its carrying amount, a firm should recognize this impairment in its financial statements. The impairment is recorded by reducing the carrying amount of the asset to its recoverable amount, which is the higher of its fair value less costs to sell or its value in use. The difference between the carrying amount and the recoverable amount is recognized as an impairment loss and recorded as an expense in the income statement. This adjustment reflects the decrease in the value of the asset and allows the firm to accurately report its financial position and performance.

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Answer:

15.6 is 260% of 6 I believe

Answer:

I believe the answer is (50 x 9) + (7 × 9)

You have to expand 57 which is 50 + 7 and multiply each by 9. Hope it helps!!

After adding and subtracting the rational expressions , the simplified rational expression is 4x - 4/x² - 5/x³ + 9  .

We first simplify each expression inside the parentheses :

that means :

⇒ (2x + 5/x² -3x) = (2x - 3x + 5/x²) = (-x + 5/x²) ;

⇒ (3x + 5/x³ - 9x) = (-6x + 5/x³)  ;

⇒ (x + 1/x² - 9) = (-9 + x + 1/x²)  ;

Now we substitute these expressions into original equation/expression :

we get ; (-x + 5/x²) - (-6x + 5/x³) - (-9 + x + 1/x²)

Simplifying further ,

we get ;

⇒ -x + 5/x² + 6x - 5/x³ + 9 - x - 1/x²  ;

On Combining the like terms, we get ;

⇒ 4x - 4/x² - 5/x³ + 9

Therefore, the simplified rational expression is 4x - 4/x² - 5/x³ + 9.

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The given question is incomplete , the complete question is

Adding and subtracting rational expressions, Simplify the rational expression  (2x + 5/x² -3x) - (3x + 5/x³ - 9x) - (x + 1/x² - 9)  .

The critical t-value is approximately 1.753.

To find the critical value for a 96% confidence interval with a sample size of 15, we need to determine the t-value from the t-distribution table. The t-distribution table is a statistical tool used to determine the probability of a t-value given the degrees of freedom (df) and the desired level of significance (α).

In this case, we have a sample size of 15, which means our degrees of freedom are 14 (n - 1). Looking at a t-distribution table for 14 degrees of freedom and a 96% confidence interval.

This means that if we were to construct a confidence interval from a sample size of 15, the margin of error would be calculated by multiplying the critical t-value of 1.753 by the standard deviation of the sample and dividing by the square root of the sample size. The resulting interval would contain the population mean with 96% confidence.

It's essential to note that the critical value will change as the sample size and confidence level change. Therefore, it's crucial to use the correct table to find the corresponding critical values for a given dataset's sample size and confidence level.

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Answer:

Step-by-step explanation:

\(f(x) = x^2 + x\\g(x) = 3x + 1\\\\g(f(-2)) = ?\\f(-2) =?\\\)

To find f(-2) , Substitute -2 for x in the given equation ;

\(f(-2)= (-2)^2 +(-2)\\f(-2) = 4-2\\f(-2) = 2\)

To find g(f(-2)) ;

\(g(f(-2))\\f(-2) =2\\\\= g(f(-2)) = g(2)\\\)

To find g(2) , substitute 2 for x in the given equation

\(g(x) = 3x+1\\g(2) = 3(2)+1\\\\g(f(-2)) = 6+1\\\\g(f(-2))=7\)

Value of g(f(-2)) is equals to 7.

"Composition function is defined as where two function combined together to create a new function. It is denoted by 'o'."

According to the question,

Given,

f(x) = x² + x

g(x) = 3x + 1

Substitute the value x=-2 in function f(x) we get,

f(-2) = (-2)² +(-2)

      = 4 -2

      = 2                                         ______(1)

Again substitute the value of x = f(-2) in g(x) to get composition function,

g(f(-2)) = 3f(-2) +1

Substitute the value f(-2) from (1) we have,

   g(f(-2)) = 3(2) + 1

⇒ g(f(-2)) = 7

Hence, value of g(f(-2)) is equals to 7.

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The amount of storage required to represent a simple graph with n vertices and m edges can vary depending on the chosen representation. Here's the storage requirement for each representation:

a) Adjacency lists:

In an adjacency list representation, we typically use an array of size n to store the vertices, and for each vertex, we maintain a linked list or an array to store its adjacent vertices. The space complexity of this representation is O(n + m), where n is the number of vertices and m is the number of edges.

Each vertex requires constant space, and each edge is represented by a link or entry in the adjacency list.

b) Adjacency matrix:

In an adjacency matrix representation, we use a 2D matrix of size n x n to represent the graph. Each entry (i, j) in the matrix represents whether there is an edge between vertices i and j. The space complexity of this representation is O(n^2), as we need to store n^2 entries for the complete matrix. However, if the graph is sparse (few edges compared to vertices), the space complexity can be reduced to O(n + m) by only storing the entries corresponding to the existing edges.

c) Incidence matrix:

In an incidence matrix representation, we use a 2D matrix of size n x m, where n is the number of vertices and m is the number of edges. Each entry (i, j) in the matrix represents whether vertex i is incident to edge j. The space complexity of this representation is O(n * m), as we need to store n * m entries for the matrix.

Similar to the adjacency matrix, if the graph is sparse, the space complexity can be reduced to O(n + m) by storing only the entries corresponding to the existing edges.

In summary:

a) Adjacency lists: O(n + m)

b) Adjacency matrix: O(n^2) or O(n + m) for sparse graphs

c) Incidence matrix: O(n * m) or O(n + m) for sparse graphs

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By answering the above question, we may state that  Given that they carry their lunch to work, the probability that a randomly selected physical therapist would not use the gym membership is 2/7.

Mathematicians use probability theory to determine the chance that an event will occur or a statement is true. A probability of about 0 reflects how probable an event appears to occur, whereas a risk is a value between 0 and 1, where 1 suggests certainty. Probability is a mathematical representation of the likelihood that a specific event will take place. Other ways to express probabilities are as integers between 0 and 1 or as percentages between 0% and 100%. the ratio of events among equally likely options that lead to a certain event to all other outcomes.

Brings lunch to work and doesn't use the gym = P(Brings lunch to work and doesn't use the gym) / P (Brings lunch to work)

So, there is an 18/135 chance that a physical therapist brings lunch to work and does not use their gym membership.

Given that they carry their lunch to work, the likelihood that a physical therapist would not use their gym membership is as follows:

Brings lunch to work | Does not utilise gym membership = 18/135 / 42/135

When we simplify this fraction, we obtain:

Brings lunch to work | Does not utilise gym membership = 2/7

Given that they carry their lunch to work, the likelihood that a randomly selected physical therapist would not use the gym membership is 2/7.

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The height of the right rectangular prism is 6 feet.

To find the height of the right rectangular prism, we divide the volume of the prism by the area of the base. The formula for the volume of a rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height. Rearranging the formula to solve for the height, we have h = V / (lw). Given that the base area is 25 1/2 square feet and the volume is 153 cubic feet, we can substitute these values into the formula. Therefore, the height of the right rectangular prism is 153 / 25.5 = 6 feet.

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The probability that the alleged father was not the father is: 0.024, or 2.4% and The probability that the alleged father could be the father is: 0.953, or 95.3%.

To calculate the probability that the alleged father was not the father, we first need to calculate the z-score for a pregnancy length of 240 days and for a pregnancy length of 306 days. The z-score formula is:

where x is the pregnancy length, mu is the mean pregnancy length, and sigma is the standard deviation of pregnancy length.

For a pregnancy length of 240 days, the z-score is:

For a pregnancy length of 306 days, the z-score is:

To calculate the probability that the alleged father was not the father, we need to find the area under the normal distribution curve to the left of the z-score for a pregnancy length of 240 days and to the right of the z-score for a pregnancy length of 306 days, and then add these probabilities together. Using a standard normal distribution table or calculator, we find that the probability to the left of z = -3.08 is approximately 0.001, and the probability to the right of z = 2.00 is approximately 0.023. Therefore, the probability that the alleged father was not the father is:

To calculate the probability that the alleged father could be the father, we need to find the area under the normal distribution curve between the z-scores for a pregnancy length of 240 days and a pregnancy length of 306 days. Using a standard normal distribution table or calculator, we find that the probability between z = -3.08 and z = 2.00 is approximately 0.953. Therefore, the probability that the alleged father could be the father is:

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Marcella started with 56 candles during her initial purchase

The given problem can be solved by arithmetic approach

Given,

After 8 weeks she has 160 candles

And also, she buys 13 more candles every week

To find her initial number of candles purchased,

Let her initial number of purchase of candles be 'x'

According to the question,

Initial number of candles + (8 weeks * 13 candles/week) = 160 candles

Substituting x, we get

x+(13*8)=160

or, x+104=160

or, x=160-104

or, x=56

Thus, we can say that initially Marcella had bought 56 candles.

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Answer:

C

Step-by-step explanation:

Answer:

(y - 2)(y + 2)

standard factorization!

tadah

Answer:

238

Step-by-step explanation:

First, you must find the ratio between the one measurement of the larger octagon and the smaller octagon. Just divide 28 by 4 to get 7. This is what you have to multiply the perimeter by to get the larger octagon's perimeter.  34 times 7 equals 238. There are multiple ways to do this problem but this way is the simplest. If this helped you, please click the "Thanks" button!

Answer

1 is 21 2 is 102 3 is 58 4 is 41 5 is 21 6 62

Step-by-step explanation:

pls mark brainliest

Answer:

7. 21

8. 102

9. 58

10. 41

11. 21

12. 62

Step-by-step explanation:

The standard normal distribution  becomes smaller.

What is standard deviation?

As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution

becomes smaller.

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The learning rate in gradient descent determines the step size and should be not too small or too large, as it can cause the algorithm to converge slowly or overshoot the minimum; adjusting the value of the learning rate can fix the problem, but the optimal value depends on the problem and data set.

According to the given information:

When running gradient descent,

The learning rate α determines the step size taken in each iteration toward the optimal solution.

If α is too small, the algorithm will take small steps and will converge slowly, or may even get stuck in a local minimum.

If α is too large, the algorithm may overshoot the minimum and diverge, or bounce back and forth without converging.

In the scenario described, the learning rate α of 0.5 appears too large, causing J(θ) to increase over time.

This suggests that the algorithm is not converging and is overshooting the minimum.

To fix this,
The value of α can be adjusted by reducing it to a smaller value,

Such as 0.1 or 0.01.

This should allow the algorithm to take smaller steps towards the minimum and eventually converge to a lower value of J(θ).

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Answer:

a

Step-by-step explanation:

prime abc and d

hope this helps

In the above question, (image attached) The option that shows the segments that are parallel, if any, if ∠EDA≅∠HCB is option A: None of these.

Note that by examining the the image if ∠EDA≅∠HCB, the two lines can never intersect even if they go a longer distance.

The reason why is that there are no parallel lines on it and as such, they cannot intercept.

Hence, In the above question, (image attached) The option that shows the segments that are parallel, if any, if ∠EDA≅∠HCB is option A: None of these.

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Answer:

y is equal to 24

Step-by-step explanation:

If y is directly proportional to x when x is equal to 5 and y is 12, then when you multiply 5 by 2 which is 10, y will be proportional to that when you multiply 12 by 2 which is 24

Answer:

b: 25

Step-by-step explanation:

The previous answer wowwubbzy13 uploaded is absolutely correct!

I'll set up a proportion.

If y = 12, then x = 5

--> 12:5

We want to find the y when x is 10

--> y:10

12:5 = y:10

5y = 120

y = 25

So B: 25 is the correct answer!

Answer:

-10,-32, -39,-42

Step-by-step explanation:

-10,-32, -39,-42

Answer:

By saying "paying the same rate"

I believe you want to know for example when two people are buying a product how to know if they are paying the same amount.

If so then there are a couple of factors at play.

First of all you need to identify the GDP of the product and the amount of tax/VAT which if calculated properly may help you tell if they are paying the same amount or not.

The length of AC is approximately 10.85 cm.

To find the length of AC, we can use the Pythagorean theorem.

According to the Pythagorean theorem, in a right triangle where c is the hypotenuse (the side opposite the right angle) and a and b are the other two sides, the relationship between the lengths of the sides is:

c^2 = a^2 + b^2

In this case, we can use AB as one of the legs of the right triangle and BC as the other leg, with AC being the hypotenuse. So we have:

AC^2 = AB^2 + BC^2

AC^2 = (10.2 cm)^2 + (3.7 cm)^2

AC^2 = 104.04 cm^2 + 13.69 cm^2

AC^2 = 117.73 cm^2

To find the length of AC, we take the square root of both sides:

AC = sqrt(117.73 cm^2)

AC ≈ 10.85 cm

Therefore, the length of AC is approximately 10.85 cm.

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After considering the given data we come to the conclusion that the shop should buy the #12 scoop with a 2.5-inch diameter for the best fit.

To evaluate the diameter of the cone, we can apply the formula for the volume of a cone:

V = (1/3)πr²h

Here,

V = volume, r is the radius (half of the diameter),

h = height.

It is given that the volume of the cone is 3π cubic inches and the height is 4 inches, so we can evaluate for the radius:

3π = (1/3)πr²(4)

r² = 3

r = √3

Hence, the diameter of the cone is:

d = 2r = 2√3 ≈ 3.46 inches

Now, we need to evaluate which scoop size will fit best. We can find the volume of each scoop using the formula for the volume of a sphere:

V = (4/3)πr³

Here,

V = volume

r = radius (half of the diameter).

Regarding the #12 scoop with a diameter of 2.5 inches, the radius is 1.25 inches:

V = (4/3)π(1.25)³ ≈ 8.18 cubic inches

Regarding #6 scoop with a diameter of 3 inches, the radius is 1.5 inches:

V = (4/3)π(1.5)³ ≈ 14.14 cubic inches

Hence, the volume of the cone is 3π cubic inches, the #12 scoop will be a better fit because its volume is closer to the volume of the cone.

Therefore, the shop must buy the #12 scoop with a 2.5-inch diameter for the best fit.

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Answer:

x = 5 - y/3

Step-by-step explanation: