Caruso, Inc. has an inventory turnover rate of 8 times. If its cost of goods sold is $150,000, then a. The company will report sales of $1,200,000. b. The gross margin will be $1,200,000. c. The company's average inventory is $18,750. d. It sells its inventory 1,200 times per year.

a. The expected dividends for t = 1 to t = 5 are as follows:
D₁ = $2.24
D₂ = $2.58
D₃ = $2.97
D₄ = $3.41
D₅ = $3.92

b. To calculate the estimated intrinsic value of the stock today (P₀), we need to find the present value of the dividends expected at t = 1 to t = 5 and the present value of the stock price at t = 5. Using the constant growth equation, we find:
P₂ = D₆ / (r - g) = D₅ * (1 + g) / (r - g) = $3.92 * (1 + 0.03) / (0.12 - 0.03) = $53.52
Now, we can find the present value of the dividends and the stock price:
P₀ = D₁ / (1 + r) + D₂ / (1 + r)² + D₃ / (1 + r)³ + D₄ / (1 + r)⁴ + D₅ / (1 + r)⁵ + P₂ / (1 + r)⁵
   = $2.24 / (1 + 0.12) + $2.58 / (1 + 0.12)² + $2.97 / (1 + 0.12)³ + $3.41 / (1 + 0.12)⁴ + $3.92 / (1 + 0.12)⁵ + $53.52 / (1 + 0.12)⁵
   = $2.00 + $2.14 + $2.17 + $2.04 + $2.07 + $33.48
   = $43.90

c. For the first year (t = 1), we can calculate the expected dividend yield (D₁ / P₀), the capital gains yield (expected total return minus the dividend yield), and the expected total return as follows:
Expected dividend yield = D₁ / P₀ = $2.24 / $43.90 = 0.051 (or 5.1%)
Capital gains yield = Expected total return - Expected dividend yield = 0.12 - 0.051 = 0.069 (or 6.9%)
Expected total return = Expected dividend yield + Capital gains yield = 0.051 + 0.069 = 0.12 (or 12.0%)

For t = 5:
Expected dividend yield = D₅ / P₀ = $3.92 / $43.90 = 0.089 (or 8.9%)
Capital gains yield = Expected total return - Expected dividend yield = 0.03 - 0.089 = -0.059 (or -5.9%)
Expected total return = Expected dividend yield + Capital gains yield = 0.089 - 0.059 = 0.03 (or 3.0%)

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Answer:

The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²vvvThe diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²The diagram shows measures of some of the line segments in APQR. 4.5 /62.58° Q Length of QS P Area of APQR S ㅏ Use the given information to find the measures of the unknown angles and segment shown below. Round your answers to the nearest whole number. Length of PS units 6.4 -5.0- units R units²v

Step-by-step explanation:

its E and A

Answer:

The solutions to the inequality are B, E, and F: 25, 36, and 9.

Step-by-step explanation:

The solutions to the inequality √x < 10 are the values of x that make the inequality true when plugged in. To find these values, we can square both sides of the inequality:

√x < 10

x < 10^2 = 100

So, the values of x that make the inequality true are those that are less than 100. The options that satisfy this condition are:

A. 100 (not a solution)

B. 25 (solution)

C. -100 (not a solution)

D. 105 (not a solution)

E. 36 (solution)

F. 9 (solution)

An effective sampling method is not cast doubt on the usefulness of the sample

The effective sample is a calculation of the approximate sample size needed to obtain the same degree of accuracy as a simple random sample. It is denoted mathematically by the formula n/D, where n represents the sample size and D denotes the design effect. It is employed as a means of condensing the volume of data.

Effective sample size calculations are mostly used for qualitative analyses of the sample size. The sample size calculates the total number of measurements or observations made during an experiment or survey. The effective sample size—rather than the actual sample size—is utilized in this assessment since it is thought that a sample size of 30 is necessary for an analysis to be valid.

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There is a 3.51% probability that a group of 10 persons will exceed the load limit of the elevator.

To find the probability that a group of 10 persons will exceed the load limit of the elevator, we need to calculate the probability that the total weight of the group exceeds 2000 lb.

Since the weights of the people are normally distributed with a mean of 185 lb and a standard deviation of 22 lb, we can use the properties of the normal distribution to solve this problem.

First, we need to calculate the mean and standard deviation of the total weight of the group. The mean of the total weight is simply the mean weight of a person multiplied by the number of persons, which is 185 lb * 10 = 1850 lb.

The standard deviation of the total weight is calculated by taking the square root of the sum of the variances of each person's weight. Since the weights are independent, the variance of the total weight is equal to the sum of the variances of each person's weight. So, the standard deviation of the total weight is sqrt(10) * 22 lb ≈ 69.296 lb.

Next, we can use the normal distribution to calculate the probability that the total weight exceeds 2000 lb. We standardize the value using the formula z = (x - mean) / standard deviation, where x is the threshold value of 2000 lb.

Calculating the z-score: z = (2000 - 1850) / 69.296 ≈ 1.81

Finally, we look up the probability corresponding to this z-score in the standard normal distribution table or use a calculator to find the area under the curve to the right of the z-score. The probability that the group of 10 persons will exceed the load limit of the elevator is approximately 0.0351, or 3.51%.

Therefore, there is a 3.51% probability that a group of 10 persons will exceed the load limit of the elevator.

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Answer:

11

Step-by-step explanation:

-6 + ___ = 5 is your format.

Answer:

-1 units

Step-by-step explanation:

5-6=-1

In order to fill each missing statement and reason, let's check for the corresponding part of the missing statement or reason.

For example, reason 5 is missing. The statement 5 is reflexive property of congruency.

In the same way, statement 6 is missing, and the reason is AA Similarity Postulate.

Therefore the statement is Triangles CDB and CDA are similar.

Reason 7 comes from the proportion written in statement 7. So the reason is the proportion between corresponding sides in similar triangles is the same.

(or we can write "corresponding sides of similar triangles are proportional)

Reason 8 comes from the cross product in a fraction equation.

Reason 9 is that all right angles are congruent.

Reason 10 is the reflexive property of congruency.

Statement 11 is that triangles BCA and CDA are similar.

Reason 12 is that the proportion between corresponding sides in similar triangles are the same.

Reason 13 is the cross product in a fraction equation.

Reason 14 is the addition of the equations from statements 8 and 13.

Statement 15 is a² + b² = c(x + y)

Reason 16 is point D is on segment AB (therefore AD + DB = AB)

Reason 17 is the substitution from the equation of statement 16 in the equation of statement 15.

Option B. $9,255.75, Only option (b) includes a value close to $1,000, which is the present value of the infinite stream of

To find the present value of an infinite stream of cash flows, we can use the formula:

PV = CF / r

where PV is the present value, CF is the cash flow per period, and r is the interest rate per period.

In this case, CF = $100 (received at the end of each year forever) and r = 10%.

Plugging in the numbers, we get:

PV = $100 / 0.10 = $1,000

So the present value of the infinite stream of cash flows is $1,000.

However, we need to adjust for the fact that the cash flows are received at the end of each year, not at the beginning. To do this, we can use the formula:

PV = CF / (r - g)

where g is the growth rate of the cash flows, which in this case is 0 (since the cash flows are constant).

Plugging in the numbers, we get:

PV = $100 / (0.10 - 0) = $1,000

So the present value of the infinite stream of cash flows received at the end of each year is also $1,000.

Therefore, the answer must include the present value of an infinite stream of cash flows. Only option (b) includes a value close to $1,000, which is the present value of the infinite stream of cash flows.

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Answer:

15

Step-by-step explanation:

subtract 12 on both sides and you get

x=27-12

x=15

Answer:

I think your answer is 15

Step-by-step explanation:

Hope this helped  you

Answer:To calculate, multiply the percentage by the number and then divide by 100. For example, 85 percent of 19 = 16.15. The table below shows the results for numbers from 1 to 1000.

Step-by-step explanation:

How do you find 85 of a number without a calculator?

Find the percentage of one number in relation to another with the formula Percentage = (number you want to find the percentage for ÷ total) × 100. Move the decimal point two places to the right to convert from a decimal to a percentage, and two places to the left to convert from a percentage to a decimal.

How do I calculate percent?

To determine the percentage, we have to divide the value by the total value and then multiply the resultant by 100

How do you calculate percentage manually?

Finding the percentage

Divide the number that you want to turn into a percentage by the whole. In this example, you would divide 2 by 5. 2 divided by 5 = 0.4. You would then multiply 0.4 by 100 to get 40, or 40%.

2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).

To prove that the expression 2n^3 + 3n + 10 is in the set Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3), we need to show that the expression can be written in the form a(n^3) for some constant "a".

Let's start by factoring out the common factor of n^3 from each term:

2n^3 + 3n + 10 = n^3(2 + 3/n^2 + 10/n^3)

Now, let's rewrite the expression as a single term multiplied by n^3:

2n^3 + 3n + 10 = (2 + 3/n^2 + 10/n^3)n^3

Simplifying the expression inside the parentheses:

= (2n^3 + 3n^2 + 10n^3)/n^3

= (12n^3 + 3n^2)/n^3

= 12 + 3/n

ow, we can see that the expression can be written in the form a(n^3), where a = 12 and n^3 = 3/n.

Therefore, we have shown that 2n^3 + 3n + 10 can be written as a polynomial of the form Q(n^3), where Q(n^3) represents the set of polynomials of the form a(n^3).

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Answer:

Step-by-step explanation:

Solution 1

Since this is an inverse relationship, we know that

m=k/w, where k is the constant of variation.

we know that m = 18 and w = 8 for one situation, so we know that

18=k/8, which gives us k = 144. we use k in the new equation:

m=144/6, which means that the time it takes for 6 workers to finish is

24 minutes

The perimeter of square ABCD is 28 units.

The perimeter of a square is the sum of all its sides. In this case, we need to find the perimeter of square ABCD.

The question provides two possible answers: 28 units and 37 units. However, we can only choose one correct answer. To determine the correct answer, let's think step by step.

A square has all four sides equal in length. Therefore, if we know the length of one side, we can find the perimeter.

If the perimeter of the square is 28 units, that would mean each side is 28/4 = 7 units long. However, if the perimeter is 37 units, that would mean each side is 37/4 = 9.25 units long.

Since a side length of 9.25 units is not a whole number, it is unlikely to be the correct answer. Hence, the perimeter of square ABCD is most likely 28 units.

In conclusion, the perimeter of square ABCD is 28 units.

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The truth values of the given statements in terms of q(x) are: q(0) is true, q(1) is false, q(-2) is false, and q(2) is true.

The statement q(x) is x² = 2x. Now, we will check the truth value of each statement in terms of q(x):

(i) q(0): \(0^2=2\times 0\)

   q(0): 0 = 0; so, the statement q(0) is true.

(ii) q(1): \(1^2=2\times 1\)

    q(1): 1 = 2; so, the statement q(1) is false.

(iii) q(-2): \((-2)^2=2\times (-2)\)

     q(-2): 4 = -4; so, the statement q(-2) is false.

(iv) q(2): \(2^2=2\times 2\)

     q(2): 4 = 4; so, the statement q(2) is true.

So, the truth values of the given statements in terms of q(x) are: q(0) is true, q(1) is false, q(-2) is false, and q(2) is true.

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Answer:

18.7

Step-by-step explanation:

5.5 × 6.8 = 37.4 / 2 = 18.7

Answer:

This triangle is an isosceles triangle, so we have the formula: S = (1/2 x a) x h

A = (1/2 x 6.8 ) x5.5 = 18.7 ft²

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Marginal relative frequency for the people who do not like cantaloupe is 0.455

or

91/100

Answer:

C is correct

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

The upper specification limit is 2.520 mm, and the lower specification limit is 2.480 mm.  The process is not capable according to the purchaser's requirement of a capability index of 1.50.

(a) The upper specification limit (USL) is calculated by adding the process mean (2.500 mm) to the upper tolerance (0.020 mm), resulting in 2.520 mm. The lower specification limit (LSL) is calculated by subtracting the lower tolerance (0.020 mm) from the process mean, resulting in 2.480 mm.

(b) The process capability index (Cp) is calculated by dividing the tolerance width (USL - LSL) by six times the standard deviation. In this case, the tolerance width is 0.040 mm (2.520 mm - 2.480 mm) and the standard deviation is 0.004 mm. Therefore, Cp = 0.040 mm / (6 * 0.004 mm) = 1.25.

(c) The purchaser requires a capability index (Cpk) of 1.50, which measures how well the process meets the specification limits. Since Cp (1.25) is less than the desired Cpk (1.50), the process is not capable according to the purchaser's requirement. It is not good enough for the supplier either, as the Cp is less than the desired level.

(d) If the process mean were to drift to 2.497 mm, the Cp value would remain the same at 1.25. Since the Cp value is still less than the desired Cpk of 1.50, the process would still not be good enough for the supplier's needs, even with the changed process mean.

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The correct statement about step 3 include the following: C. When the equation -3x − 5y = -5 is subtracted from -10x + 5y = -60, a third linear equation, -13x = -65, is formed, and it has a different solution from the original equations.

In order to determine the solution to a system of two linear equations, we would have to evaluate and eliminate each of the variables one after the other, especially by selecting a pair of linear equations at each step and then applying the elimination method.

Given the following system of linear equations:

2x - y = 12                .........equation 1.

-3x - 5y = -5               .........equation 2.

By multiplying the equation 1 by -5, we have:

-5(2x - y = 12) = -10x + 5y = -60

By adding the two equations together, we have:

-3x - 5y = -5

-10x + 5y = -60

-------------------------

-13x = -65

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Answer:

4 + \(\frac{1}{2}\) = 4 \(\frac{1}{2}\)

Step-by-step explanation:

We have 4 whole circles and half a circle so 4 + \(\frac{1}{2}\) = 4 \(\frac{1}{2}\)

Finding the rate of the weight gain, we divide the total weight gained with the total number of months that took to gain that weight.

Total time (months) = 0.5 + 2 + 3.5 = 6 months

Total weight (kg) = 80.6 + 88.4 + 96.2 = 265.2 kilograms

Rate = Kg ÷ Months

Rate = 265.2 ÷ 6 = 44.2

44.2 kilograms per month​

Cheers!

Answer:

78 kilograms

Step-by-step explanation:

khan told me

Answer:

4 units

Step-by-step explanation:

The length of the shorter side is equal to the difference in y-coordinates of two vertically opposite vertices. The y-coordinates of the vertices (-1, -5) and (3, -5) are both -5, so the vertical side between them is not the shorter side. The y-coordinates of the vertices (3, -7) and (-1, -7) are both -7, so the vertical side between them is the shorter side. The difference in the x-coordinates of these two vertices is 3 - (-1) = 4, so the length of the shorter side is 4 units.

Answer: Your answer is 2

Step-by-step explanation: I did the k12 quiz here's proof

Answer:

2 more

Step-by-step explanation:

Answer:

slope = 3

Step-by-step explanation:

calculate the slope m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (1, 3 ) and (x₂, y₂ ) = (9, 27 )

m = \(\frac{27-3}{9-1}\) = \(\frac{24}{8}\) = 3

\(\mathbb{FINAL\:ANSWER:}\)

\(\huge\boxed{\sf\:Slope=3}}\)

\(\mathbb{SOLUTION\:WITH\:STEPS:}\)

Hi! Hope you are having a nice day!

We are given 2 points that the line passes through, so we can use the slope formula and find the slope.

Slope Formula:

\(\displaystyle\frac{y2-y1}{x2-x1}\)

\(\displaystyle\frac{27-3}{9-1}\)

\(\displaystyle\frac{24}{8}\)

The fraction can be reduced:

\(\displaystyle\frac{3}{1}\)

which is the same as

\(3\)

Hope you could understand everything.

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a compound inequality is a combination of two inequality functions that represent the same value.

eg;

\(x \geqslant - 1\)

and

\(6 \leqslant x\)

combining them gives

\( - 1 \leqslant x \geqslant 6\)

above is a compound inequality.

hope it helps

Answer:

47.7

Step-by-step explanation:

Answer:

It’s C.

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(6.\\\\CA=\sqrt{(d-e^2)} =d-e \ is\ error\\\\CA=\sqrt{(d-e)^2}=|d-e|\ is\ true\)

when adding or multiplying three or more numbers, the grouping of the numbers does not affect the result by using associative property.

For addition, the associative property can be expressed as:

(a + b) + c = a + (b + c)

This means that when adding three numbers, it doesn't matter if we first add the first two numbers and then add the third number, or if we first add the last two numbers and then add the first number. The result will be the same.

For example, let's take the numbers 2, 3, and 4:

(2 + 3) + 4 = 5 + 4 = 9

2 + (3 + 4) = 2 + 7 = 9

The result is the same regardless of the grouping.

Similarly, the associative property also holds for multiplication:

(a * b) * c = a * (b * c)

This means that when multiplying three numbers, the grouping does not affect the result.

For example, let's take the numbers 2, 3, and 4:

(2 * 3) * 4 = 6 * 4 = 24

2 * (3 * 4) = 2 * 12 = 24

Again, the result is the same regardless of the grouping.

The associative property is a fundamental property in mathematics that allows us to regroup terms in a sum or product without changing the outcome.

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