A frozen pizza cost $3.00 in the year 2000. In 2015, it cost $2.50. What is the percent of change of the pizza from 2000 to 2015? (round your answer to the nearest tenth and don't forget the % sign)

\(\measuredangle A\cong \measuredangle E\implies 112=16x\implies \cfrac{112}{16}=x\implies \boxed{7=x} \\\\[-0.35em] ~\dotfill\\\\ \overline{MS}\cong \overline{NR}\implies 41=3x+5y\implies 41=3(7)+5y\implies 41=21+5y \\\\\\ 20=5y\implies \cfrac{20}{5}=y\implies \boxed{4=y}\)

a.To calculate the past growth rate in earnings, we will use the formula for compound annual growth rate (CAGR): The past growth rate in earnings is approximately 0.0841 or 8.41%.b. $2.815. c. 16.22%.

a. To calculate the past growth rate in earnings, we will use the formula for compound annual growth rate (CAGR):

CAGR = (Ending Value / Beginning Value)^(1 / Number of Years) - 1

In this case, the beginning value is $4.42 in 2013, and the ending value is $6.50 in 2018. The number of years is 5. Plugging these values into the formula, we have:

CAGR = ($6.50 / $4.42)^(1 / 5) - 1

Calculating this expression, the past growth rate in earnings is approximately 0.0841 or 8.41%.

b. To calculate the next expected dividend (d1) assuming that the past growth rate continues, we can use the formula:

d1 = d0 * (1 + g)

where d0 is the last dividend ($2.60) and g is the growth rate (8.41% or 0.0841). Plugging in these values, we have:

d1 = $2.60 * (1 + 0.0841)

Calculating this expression, the next expected dividend (d1) is approximately $2.815.

c. The cost of retained earnings (rs) can be calculated using the dividend growth model formula:

rs = (d1 / P0) + g

where d1 is the next expected dividend ($2.815), P0 is the current stock price ($36.00), and g is the growth rate (8.41% or 0.0841). Plugging in these values, we have:

rs = ($2.815 / $36.00) + 0.0841

Calculating this expression, the cost of retained earnings (rs) is approximately 0.1622 or 16.22%.

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Answer:

see image

Step-by-step explanation:

The answer is not one of the options listed. The closest option is (a) 9 * 8 * 7 * 5, but this does not take into account the requirement that the last digit must be odd.

To solve this problem, we can use the multiplication principle, which states that if there are m ways to do one thing and n ways to do another thing, then there are m * n ways to do both things together.

First, we need to choose the last digit of the PIN to be odd. There are 5 odd digits to choose from (1, 3, 5, 7, and 9).

Next, we need to choose the first digit of the PIN. Since it cannot be the same as the last digit, there are only 9 choices left (since 0 is allowed as the first digit).

For the second digit, we can choose from 8 digits (we can't choose the first digit or the last digit, which leaves 8 choices).

For the third digit, we can choose from 7 digits (we can't choose the first digit, the second digit, or the last digit, which leaves 7 choices).

Therefore, the total number of choices for the PIN is:

5 * 9 * 8 * 7 = 2,520

So the answer is not one of the options listed. The closest option is (a) 9 * 8 * 7 * 5, but this does not take into account the requirement that the last digit must be odd.

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A. The p-value is less than 0.05, we reject the null hypothesis that the scores are evenly distributed. We conclude that the scores are not evenly distributed.

B. The p-value to be less than 0.05. We can conclude that there is strong evidence to suggest that the mean scores of left-handed and right-handed students are different.

a) To test whether the scores are evenly distributed, employ the Chi-squared goodness-of-fit test. Our null hypothesis is that the scores are evenly distributed, and the alternative hypothesis is that they are not evenly distributed.

Calculate the expected frequencies for each category assuming even distribution. The total frequency is 150, so, expect 30 scores in each category if the scores are evenly distributed. The expected frequencies for each category are:

0≤x≤20: 30

20<x≤40: 30

40<x≤60: 30

60<x≤80: 30

80<x≤100: 30

Then, calculate the test statistic:

χ^2 = ∑(O-E)²/E

where O is the observed frequency and E is the expected frequency.

The degrees of freedom for this test is (number of categories - 1) = 4.

Using a chi-squared distribution table with 4 degrees of freedom and a significance level of 0.05, the critical value is 9.488.

The observed values and expected values for each category are:

Score Range | Observed Frequency (O) | Expected Frequency (E) | (O-E)²/E

0≤x≤20 | 21 | 30 | 2.1

20<x≤40 | 15 | 30 | 7.5

40<x≤60 | 32 | 30 | 0.2

60<x≤80 | 39 | 30 | 3.3

80<x≤100 | 43 | 30 | 4.3

The test statistic is:

χ² = 2.1 + 7.5 + 0.2 + 3.3 + 4.3 = 17.4

The p-value for this test is the probability of getting a chi-squared value of 17.4 or higher with 4 degrees of freedom. Using a chi-squared distribution table, we find the p-value to be less than 0.01.

Since the p-value is less than 0.05, we reject the null hypothesis that the scores are evenly distributed. We conclude that the scores are not evenly distributed.

b) To test whether there is a difference between the mean scores of left-handed and right-handed students, we will use a two-sample t-test with equal variances. Our null hypothesis is that there is no difference in mean scores between left-handed and right-handed students, and the alternative hypothesis is that there is a difference.

The test statistic for the two-sample t-test is:

t = (x-bar₁ - x-bar₂) / (sₚ * √(¹/n₁ + ¹/n₂))

where x-bar₁ and x-bar₂ are the sample means, sₚ is the pooled standard deviation, n₁ and n₂ are the sample sizes, and sqrt is the square root function.

The pooled standard deviation is calculated as:

sₚ = √(((n₁ - 1) * s₁² + (n₂ - 1) * s₂²) / (n₁ + n₂ - 2))

where s₁ and s₂ are the sample standard deviations.

Plugging in the values from the question, we get:

t = (70 - 60) / (√(198/30 + 198/30)) = 2.16

Find the p-value for this test to determine whether it is statistically significant. Utilizing a t-distribution table with 58 degrees of freedom (total sample size minus 2), and a significance level of 0.05, the critical value will be 2.001.

Since the calculated t-value of 2.16 is greater than the critical value of 2.001, we can reject the null hypothesis that there is no difference in mean scores between left-handed and right-handed students. We conclude that there is a statistically significant difference between the mean scores of left-handed and right-handed students.

The p-value for this test is the probability of getting a t-value of 2.16 or higher with 58 degrees of freedom. Using a t-distribution table or calculator, the p-value is less than 0.05.

Therefore, we can conclude that there is strong evidence to suggest that the mean scores of left-handed and right-handed students are different.

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The hypothenuse in the triangle when the sides that are given are ✓39 and 6 is 8.6.

It should be noted that a triangle has three sides and the longest side is the hypothenuse. Based on the information given, it can be seen that we have two sides that we given in the question already.

In this case, the sides that are given are ✓39 and 6 and we wat to find the hypothenuse. This will go thus;

Hypothenuse ² = (✓39)² + 6²

Hypothenuse ² = 39 + 36

Hypothenuse ² = 75

Hypothenuse = ✓75

Hypothenuse = 8.6

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Answer:

$105

Step-by-step explanation:

5 + 1 (100)

5 + 100

105

75% is percentage of undergraduate students are between 36 and 52 years old.

What is percentage and example?

This would be true if k=3, but k=2

because (36-44)/4 = -2 and (52-44)/4 = 2

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Step-by-step explanation:

2/3*3/4x-2/3*3/2

1/2x--1

Answer:

x = 35 , y = 72.5

Step-by-step explanation:

(a)

x and 35° are vertical angles and are congruent, then

x = 35

(b)

y. y and 35 lie on a straight line and sum to 180°, that is

y + y + 35 = 180

2y + 35 = 180 ( subtract 35 from both sides )

2y = 145 ( divide both sides by 2 )

y = 72.5

Answer:

y = 72.5 degrees

X = 35 degrees

Step-by-step explanation: A straight line is 180 degrees. The line with the two y degrees and the 35 degrees is a straight line, which is = 180 degrees. Because the y degrees are the same variable (y) they are equal degrees. All you need to do to find y is 180-35 =145. Divide that by 2 to find both y’s. 145 / 2 = 72.5. You can do the same for x, or realize that x and 35 are alternate interior angles, meaning they are the same measure: 35 degrees.

Joe's rate of download is given as

Jasmine rate of download is given as

Since both Joe and Jasmine have the same rate of song download/minute, none is faster than the other

The tax consequences to Lucy associated with the collection of the account receivable is $7,000.

What is the cost price?

The cost price in retail systems represents the particular value that represents the unit price purchased. This value is utilized as a crucial aspect in calculating profitability, and it is employed in various stock market theories to determine the value of stock holdings.

Here, we have

Given: Lucy purchased a $100,000 account receivable for $90,000. During the current year, Lucy collected $97,000 from the account.

We have to find the tax consequences to Lucy associated with the collection of the account receivable.

Collected = $97,000

Purchase cost = $90,000

The amount collected more than Lucy’s basis in the receivable:

= $97,000 -  $90,000

= $7,000

Hence, the tax consequences to Lucy associated with the collection of the account receivable is $7,000.

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Answer:

the answer is 1/7 is the answer

Answer: I think it's 1/7- but I may be wrong! I'm sorry if I am TwT

Step-by-step explanation:

Answer:

3 < x

Step-by-step explanation:

3(8 – 4x) < 6(x – 5)

Divide each side by 3

3/3(8 – 4x) < 6/3(x – 5)

(8 – 4x) < 2(x – 5)

Distribute

8-4x < 2x-10

Add 4x to each side

8-4x+4x < 2x-10+4x

8 < 6x-10

Add 10 to each side

8+10 < 6x-10+10

18 < 6x

Divide by 6

18/6 < 6x/6

3 < x

The scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).

What is dilation?

A dilation is a transformation that creates an image that has the same shape as the original but is larger.

• An enlargement is a dilation that produces a larger image.

• A reduction is a dilation that produces a smaller image.

• A dilation expands or contracts the original figure.

A dilation is a stretch or a shrink in the size and location of a figure or point.

The scale factor in a dilation is the amount by which the figure is stretched or shrunk.

The center of dilation is a reference point used to appropriately scale the dilation of a figure. Given a point on the pre-image, \((x_1, y_1)\)and a corresponding point on the dilated image \((x_2, y_2)\)and the scale factor,

k, the location of the center of dilation, \((x_0,y_0)\) is

\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\)

Hence, the scale factor of dilation can be found by using the formula\((x_0=\frac{kx_1-x_2}{k-1}, y_0=\frac{ky_1-y_2}{k-1})\).

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True, If the null hypothesis states that there is no difference between the mean net income of retail stores in Chicago and New York City, then the test is two-tailed.

Step-by-step explanation:
1. The null hypothesis (H0) states that there is no difference between the mean net incomes of retail stores in the two cities: H0: μ1 = μ2.
2. The alternative hypothesis (H1) would be that there is a difference between the mean net incomes: H1: μ1 ≠ μ2.
3. Since the alternative hypothesis includes both possibilities of the mean net income in Chicago being either greater or less than that in New York City, it's a two-tailed test.

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Answer:

True

Step-by-step explanation:

-8+9 is 1

9+(-8) -> 9-8 is 1

Answer:

7q - 21 (can also be written as 7(q - 3))

Step-by-step explanation:

\(4(q-12) + 3(q + 9)\\4q - 48 + 3q + 27\\7q - 21\)

Holt's smoothing method only accounts for the long-term trends is False.

We have,

False.

Holt's smoothing method, also known as Holt's linear exponential smoothing or double exponential smoothing, accounts for both the long-term trend and the level or baseline value of a time series.

It is an extension of simple exponential smoothing and includes an additional smoothing parameter for trend.

By incorporating both trend and level components,

Holt's smoothing method can capture both short-term fluctuations and long-term trends in the data.

Thus,

Holt's smoothing method only accounts for the long-term trends is False.

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The reason that there always be an upside down triangle in the Sierpiński triangle is because  of its recursive process or what we call the self-similar nature of all of its pattern.

The pattern of the Sierpiński triangle is seen as a product the result of repeatedly removing certain triangles from an original equilateral triangle. The process involves dividing an equilateral triangle into four smaller triangles by connecting their midpoints during each iteration.

Note that, afterwards the triangle located at the center is eliminated. This procedure is repeated endlessly, where every triangle that remains is split into four smaller triangles, and the middle one is extracted.

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Answer:the dots -2 and 2

Step-by-step explanation:

The probability that at least one of them is operational is 0.999

Probability:

Probability means the possibility of happening the particular event. So, it can be written as the fraction of possible event by the total number of event.

Given,

The probability a D-Link network server is down is 0.10.

Here we need to find if you have three independent servers, what is the probability that at least one of them is operational.

Let D be an event that a D-Link network server is down.

It is given that the probability that a D-Link network server is down is

=> P(D) = 0.10

The number of independent servers

=> (n) = 3

The probability that none of the servers is working is

=>P(None) = P(D) x P(D) x P(D)

=> P(None) = 0.10 x 0.10 x 0.10

=> P(None) = 0.001

The probability that at least one of them is operational is given as

=> 1 - P(None)

=> 1 - 0.001

=> 0.999

Therefore, the probability that at least one of them is operational is 0.999.

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Answer:

yes

Step-by-step explanation:

every value of the domain only has one corresponding value

The 95% confidence interval for the mean weight per apple is calculated and the p value foe that particular interval is 0.1447

There is not sufficient evidence to reject the company's claim.

Z Test of Hypothesis for the Mean

Data

Null Hypothesis m =120

Level of Significance 0.05

Population Standard Deviation 12

Sample Size 49

Sample Mean 122.5

Intermediate Calculations

Standard Error of the Mean 1.7143

Z Test Statistic 1.4583

Two-Tail Test  

Lower Critical Value -1.9600

Upper Critical Value 1.9600

p-Value 0.1447

Do not reject the null hypothesis

Hence, the p value foe that particular interval is 0.1447

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Answer: 50 + 80 = 130 So the answer would be |-85-(-50)|.

The linking number of the circular DNA plasmid in its relaxed circular form is equal to 38700.

The linking number (Lk) of a circular DNA molecule is a topological property that represents the number of times the two strands of the DNA helix are intertwined around each other.

For a relaxed circular DNA molecule, the linking number is simply equal to the number of times the two strands cross each other.

The linking number of a circular DNA molecule can be calculated using the following equation:

Lk = (Tw + Wr)/Tw

Where Tw is the number of turns in the double helix and Wr is the number of times the DNA strands are wound around each other in a supercoiled state.

For a relaxed circular DNA molecule, the supercoiling is zero (Wr = 0), so the linking number is equal to the number of turns in the double helix (Tw).

The number of turns in the double helix can be calculated using the following equation:

Tw = Lk + Wr

Since Wr is zero for a relaxed circular DNA molecule, we can simplify the equation to:

Tw = Lk

We are given that the length of the circular DNA plasmid is 3150 base pairs. The number of turns in the double helix can be calculated using the formula:

Tw = (L × 360°) / (n × bp)

Where L is the length of the DNA molecule, n is the number of base pairs per turn (10.5 for B-DNA), and bp is the length of each base pair (0.34 nm).

Substituting the given values, we get:

Tw = (3150 × 360°) / (10.5 × 0.34 × 1\(0^-9 m)\)

Tw = 38700 turns

Therefore, the linking number of the circular DNA plasmid in its relaxed circular form is equal to 38700.

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Given parameters:

Coordinates of the two points = (-5, 6) and (8,-4)

Unknown:

Distance between the two points.

To find the distance between two points, use the expression below;

  Distance ²  = (x₂ - x₁)² + (y₂ - y₁)²

where;

(-5, 6) and (8,-4)

         x₂ = 8 , x₁ = -5 , y₂ = -4 and y₁ = 6

Input the parameters and solve;

 Distance²  =  (8-(-5))²  +  (-4 - (6))²

                    = 169 + 100

                    = 269

Distance = \(\sqrt269}\)   = 16.4

The distance between the two points is 16.4

Answer:

x=9

Step-by-step explanation:

13x-32 and 7x+22 are equal to each other (angles) so

13x-32=7x+22

13x-7x=22+32

6x=54

x=54/6

x=9