price marked at R85 with VAT included​

Answers

Answer 1

Answer: No image? Incomplete question? FREE POINTS!

Step-by-step explanation:

BRAINLIEST PLEASE!


Related Questions

the area of a rhombus is 24 square inches. What is the are of a similar rhombus that is 7 times as big?

Answers

Answer:

324

...................

Given v = 4i - j, and w = 3i + 2j, find the angle between v and w. (Type your answer in degrees. Do not round until the final answer. Then round to the nearest tenth as necessary.)

Answers

Given [tex]v=4i-j[/tex], and [tex]w=3i+2j\\[/tex], the angle between v and w is 47.7°.

To find the angle between vectors v and w, we can use the dot product formula:

v · w = |v| |w| cos(θ)

where v · w represents the dot product of v and w, |v| and |w| represent the magnitudes of vectors v and w, and θ represents the angle between the vectors.

First, let's calculate the magnitudes of vectors v and w:

|v| = √(4² + (-1)²) = √(16 + 1) = √17

|w| = √(3² + 2²) = √(9 + 4) = √13

Next, let's calculate the dot product of v and w:

v · w = (4)(3) + (-1)(2) = 12 - 2 = 10

Now, we can substitute the values into the dot product formula to find the angle θ:

10 = (√17)(√13) cos(θ)

cos(θ) = 10 / (√17)(√13)

cos(θ) = 10 / (√(17 * 13))

cos(θ) = 10 / (√221)

θ = cos⁻¹ (0.6717)

θ = 47.7°.

Therefore, the angle between vectors v and w is approximately 47.7° .

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Find the profit function if cost and revenue are given by C(x) = 150 +5.8x and R(x) = 9x -0.01x?

Answers

The profit function is; P(x) = -0.01·x² + 3.2·x + 150

What is a profit?

Profit is the amount gained following a business transaction, which is the difference between the amount received as payment for doing a business transaction, within a specified period, known as the revenue and the amount amount spent or invested in doing the business, including the fixed and variable expenses, which is the cost of the business.

Therefore; Profit = Revenue - Cost

The cost and the revenue functions, obtained from a similar question on the internet are;

The cost function is; C(x) = 150 + 5.8·x

The profit function is; R(x) = 9·x - 0.01·x²

The profit function, P(x), is therefore; P(x) = 9·x - 0.01·x² - (150 + 5.8·x) = -0.01·x² + 3.2·x + 150

P(x) = -0.01·x² + 3.2·x + 150

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PLEASE ANSWER ASAP

At a carry-out burger restaurant, an order of 4 burgers, 2 orders of French fries and 3 fountain drinks cost $32.25. A second order of 6
burgers, 3 orders of French fries, and 6 fountain drinks costs $51.15. If three burgers and two fountain drink cost $13.05 more than two
orders of French fries, what is the cost of each

Answers

Answer:

hmmm I think u need to talk to ur teacher

What is the greatest number of obtuse angles that a triangle can have?

Answers

Answer:

1

Step-by-step explanation:

Right answer gets brainlist !!
Robert takes out a loan for $7200 at a 4.3% rate for 2 years. What is the loan future value?

Answers

Answer: 7,833

Step-by-step explanation:

Need help due in 30 mins Find the area of each. Round to the nearest tenth. Do not include units in your answer (ie. ft, in, km, etc)(triangle-FR)
Your answer

Answers

Answer:

1)

Triangle formula:

A = 1/2bh

A = 1/2(3)(5.9)

A = 8.85

2)

Parallelogram Area:

A = bh

A = (8.9)(6)

A = 53.4

Portfolio Benchmark 22.00% 17.88% 16.00% 21.25% -7.50% -9.63% -2.30% -3.88% 8.63% 3.25% 9.15% 9.63% 11.21% 15.25% 6.25% 5.75% -37.00% -42.00% 15.00% 13.75% An analyst is trying to understand the variation of portfolio returns shown in the left column by analyzing the variation of benchmark returns in the right column. Here, the analyst uses the benchmark returns as the explanatory variable, i.e., the x-variable, to explain the variation of portfolio returns, the y-variable. The analyst performs a regression analysis between the x and y variables. The y-intercept and slope coefficient of the x-variable are 0.013 and .892, respectively. If the benchmark return is 14%, the regression model will estimate the portfolio return closest to O 0% O 89.2% 1.3% O 13.79%

Answers

The regression model estimates the portfolio return closest to 13.79% when the benchmark return is 14%.

The analyst performed a regression analysis using the benchmark returns as the explanatory variable and the portfolio returns as the dependent variable. The y-intercept of the regression line is 0.013, indicating that when the benchmark return is zero, the estimated portfolio return is 0.013%. The slope coefficient of the benchmark returns is 0.892, meaning that for every 1% increase in the benchmark return, the estimated portfolio return increases by 0.892%.

To estimate the portfolio return when the benchmark return is 14%, we plug the value of 14 into the regression model. The estimated portfolio return is calculated as follows: 0.013 + 0.892 * 14 = 13.79%.

Therefore, based on the regression analysis, the model estimates that the portfolio return would be closest to 13.79% when the benchmark return is 14%.

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A SHS student conducted a survey to test the claim that "less than half of all the adults are annoyed by the violence on television" . Suppose that from a poll of 2,400 surveyed adults, 1,152 indicated their annoyance with television violence. Test this claim using 0.10 level of significance.

Answers

The null hypothesis (H0) assumes that the proportion of adults annoyed by television violence is equal to or greater than 0.5, while the alternative hypothesis (Ha) assumes that the proportion is less than 0.5.

In this case, the sample proportion is calculated as the number of adults indicating annoyance divided by the total sample size: 1,152/2,400 = 0.48.

Next, we can calculate the test statistic, which follows a standard normal distribution under the null hypothesis. The test statistic formula is z = (p - P) / sqrt(P(1-P)/n), where p is the sample proportion, P is the hypothesized proportion under the null hypothesis (0.5 in this case), and n is the sample size.

Using the given values, we can calculate the test statistic:

z = (0.48 - 0.5) / sqrt(0.5(1-0.5)/2400) ≈ -1.67.

Finally, we compare the test statistic to the critical value. At a significance level of 0.10, the critical value for a one-tailed test is approximately -1.28. Since the test statistic (-1.67) is smaller than the critical value, we reject the null hypothesis. This suggests that there is evidence to support the claim that less than half of all adults are annoyed by violence on television.

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The AIC strikes a balance between:

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The AIC, or the Akaike Information Criterion, strikes a balance between model complexity and goodness of fit.

In statistical modeling, it is crucial to find a balance between the complexity of a model and its ability to accurately capture the underlying patterns in the data. On one hand, a complex model with numerous parameters may be able to fit the data very closely, resulting in a low error or residual.

However, such a model runs the risk of overfitting, meaning it may become too specific to the training data and perform poorly when applied to new, unseen data.

On the other hand, a simpler model with fewer parameters may not capture all the nuances of the data and may have a higher error or residual. This is known as underfitting, as the model fails to capture the underlying complexity of the data.

The AIC addresses this trade-off by considering both the goodness of fit and the complexity of the model. It penalizes models with a higher number of parameters, encouraging a balance between model complexity and goodness of fit.

The AIC takes into account the residual sum of squares (RSS) or the likelihood of the model, and adjusts it based on the number of parameters used. The goal is to select the model with the lowest AIC value, indicating a good compromise between complexity and fit.

By striking this balance, the AIC provides a reliable criterion for model selection, allowing researchers and statisticians to choose the most appropriate model for their data while avoiding both overfitting and underfitting.

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Margaret's garden is 36 feet long and has a perimeter of feet. She is wanting to plant flowers along the diagonal of the garden. How long in the diagonal of her​

Answers

Answer: Where is the rest of the question?

Step-by-step explanation:

b) Abigail (A) and Balan (B) want to share a pizza of size 1. Suppose both agents have the same utility function u(x) = 2 for pizza, Abigail discounts with 8A = 1/2 and Balan discounts with 88 1/2. Abi- gail moves first. Calculate the Rubinstein solution of the bargaining problem. c) Why does Abigail get a larger share of the pizza?.

Answers

Solution: Given, Abigail (A) and Balan (B) want to share a pizza of size

1. Both agents have the same utility function u(x) = 2 for pizza, Abigail discounts with 8A = 1/2. Balan discounts with 88 1/2 Abigail moves first.

We have to calculate the Rubinstein solution of the bargaining problem. Bargaining Solution Using Rubinstein's alternating offers model, the bargaining solution is:

Take x as the size of the pizza that Abigail gets.

Hence, Balan gets 1 - x.

The possible utility that they get are:

Abigail: 2x(1/2) + 0(1/2) = x

Balan: 2(1 - x)(88 1/2) + 0(11 1/2) = 177 - 177x The minimum utility that they both need to be satisfied is:

minimum value = 2 x 177/2 = 177

The bargaining range is [0,1], thus there are infinite pairs that satisfy the minimum utility requirement. However, Rubinstein assumes that the final solution should be somewhere between both parties' ideal points, so we can restrict the bargaining range to [1/2, 1]. Abigail gets x and Balan gets 1 - x. Now, we have to see what happens if Balan rejects this offer.

When Balan rejects, the bargaining range is [0, x) for Abigail and (x, 1] for Balan. In this range,

Abigail's ideal point is 2x(1/2) + 0(1/2) = x and

Balan's ideal point is 2(1 - x)(88 1/2) + 0(11 1/2) = 177 - 177x.

The bargaining range is again restricted to [1/2, 1]. When Balan rejects, the bargaining range is [0, x) for Abigail and (x, 1] for Balan. In this range, Abigail's ideal point is 2x(1/2) + 0(1/2) = x and Balan's ideal point is 2(1 - x)(88 1/2) + 0(11 1/2) = 177 - 177x.The bargaining range is again restricted to [1/2, x) and (x, 1].

Now, if Abigail rejects, then the bargaining range is (0, x) for Abigail and [x, 1] for Balan. In this range, Abigail's ideal point is 2x(88 1/2) + 0(11 1/2) = 177x and Balan's ideal point is 2(1 - x)(1/2) + 0(1/2) = 1 - x. The bargaining range is again restricted to (1/2, x) and (x, 1/2 + 1/176). In the next step, if Balan rejects, then the bargaining range is [0, x) for Abigail and (x, 1] for Balan. In this range, Abigail's ideal point is 2x(1/2) + 0(1/2) = x and Balan's ideal point is 2(1 - x)(1/2) + 0(1/2) = 1 - x. The bargaining range is again restricted to [1/2, x) and (x, 1/2 + 1/176).

Repeating the steps,

the solution is: x = 2/3, 177 - 177x = 59.

After calculating the Rubinstein solution of the bargaining problem, we can see that Abigail gets 2/3 of the pizza and Balan gets 1/3 of the pizza. There are two reasons why Abigail gets a larger share of the pizza: Abigail moves first, so she has an advantage because she can propose a deal that is more favorable to her. This is why the bargaining range is initially restricted to [1/2, 1]. Abigail has a lower discount rate than Balan, so she is willing to wait longer for a deal. This means that Abigail can drive a harder bargain because she has a higher reservation utility.

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Drag the operations signs to make the number sentence true. Use each operation sign once. +–×÷ 4 (3 2) 6 1 = 14

Answers

Answer:  its 4x(3+2)-6÷ 1=14

Step-by-step explanation: in the picture

PLEASE HELP I’m bad at math

A.Find the greatest common factor GCF of 42 and 12
B.Use the GCF to factor 42 + 12

Please be quick if you can

Answers

Answer:

6

Step-by-step explanation:

The GCF of 42 and 12 is 6

I need help with this question can you guys help me ​

Answers

Answer:

$18.5

Step-by-step explanation:

You just add up all the costs and divide them by two and then you would get your answer

A pressure vessel has a design pressure of 50 bar. However the safety case for the chemical plant on which it is to be used requires that the pressure vessels have a 95% probability of surviving a pressure of 70 bar. Computer codes have generated an estimate of only 0.80 for the probability that any such pressure vessel, picked at random, will survive at 70 bar. However, they have also calculated that of the 20% of the pressure vessels that will not survive a pressure of 70 bar, 40% will fail under a pressure of 58 bar or less, while 80% will fail under a pressure of 65 bar or less. It is decided that an over-pressure test needs to be used to give reassurance on the behaviour of this particular pressure vessel. This test may be carried out at either 58 bar or 65 bar. The lower pressure test is considerably less difficult and cheaper to administer. (i) Suppose that you are brought in as a consultant. By calculating the probability of the pressure vessel being able to support the 70 bar maximum pressure if the over-pressure test is passed, advise on which over-pressure test should be administered.

Answers

It is advised that lower pressure test should be administered.

Probability of survival of pressure vessel the pressure vessel is tested under the lower pressure test at 58 bar, the probability of survival is given by the sum of the probability of survival if the vessel is one of the 60% that will survive 70 bar and the probability of survival if the vessel is one of the 40% that will fail at 70 bar but will survive 58 bar or less. If P1 represents the probability of survival of the vessel if it is one of the 60% that will survive 70 bar, and P2 represents the probability of survival if it is one of the 40% that will fail at 70 bar but will survive 58 bar or less, then the probability of survival of the vessel, if it is tested under the lower pressure test at 58 bar, is given by:

P = 0.60 x 1 + 0.40 x (1 - 0.60) = 0.76

If the pressure vessel is tested under the higher pressure test at 65 bar, the probability of survival is given by the sum of the probability of survival if the vessel is one of the 60% that will survive 70 bar, and the probability of survival if the vessel is one of the 40% that will fail at 70 bar but will survive 65 bar or less. If P3 represents the probability of survival of the vessel if it is one of the 40% that will fail at 70 bar but will survive 65 bar or less, then the probability of survival of the vessel, if it is tested under the higher pressure test at 65 bar, is given by:

P = 0.60 x 1 + 0.40 x (1 - 0.80 x P3)

The condition that the probability of survival of the vessel, if it is tested under the higher pressure test at 65 bar, is at least 0.95 is therefore:

0.60 + 0.40 x (1 - 0.80 x P3) ≥ 0.95

This simplifies to: P3 ≤ 0.625

Using the above values for P1, P2, and P3, it is clear that the probability of the vessel surviving if tested at the lower pressure of 58 bar is greater than 0.95. Therefore, the lower pressure test should be carried out.

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An arithmetic sequence has first term (a) and the common difference (d). The sum of the first 25 terms is 15 times the sum of the first 4 terms. Find (a) ​

Answers

Answer:

a = 12.

Step-by-step explanation:

Sum of n terms = n/2[2a + d(n-1)]

For 25 terms

S25 = 12.5(2a + 24d)

S25 = 25a + 300d

For 4 terms

S4 = 2(2a + 3d)

So:

S25 = 15*2(2a + 3d)

S25 = 60a + 90d

25a + 300d = 60a + 90d

35a =  210d

a = 6d

Take  a to be 12 and d to be 2:

25th term = 12.5(2*12 + 24 * 2) = 900

4th term = 2(24 + 6) = 60

900 = 15 * 60 so a = 12.

Guys i need help!!!!

Answers

Answer:

1/6

Step-by-step explanation:

1 out of the 6 cards is 4

you randomly select 100 drivers ages 16 to 19 from example 4. what is the probability that the mean distance traveled each day is between 19.4 and 22.5 miles?

Answers

Given that we randomly select 100 drivers ages 16 to 19 from example 4. We are to determine the probability that the mean distance traveled each day is between 19.4 and 22.5 miles. The probability that the mean distance traveled each day is between 19.4 and 22.5 miles is approximately 1.00.

Probability distribution is a function which represents the probabilities of all possible values of a random variable.

When the probability distribution of a random variable is unknown, we can use the Central Limit Theorem (CLT) to estimate the mean of the population.

Let X be the mean distance traveled each day by the 100 drivers ages 16 to 19.

Then, the distribution of X is approximately normal with the mean μ = 20.4 miles and the standard deviation σ = 3.8 miles.

Therefore, we can calculate the z-score as follows; z = (X - μ) / (σ / √n), where X = 19.4 and n = 100.

z₁ = (19.4 - 20.4) / (3.8 / √100)

z₁ = -2.63 and

z₂ = (22.5 - 20.4) / (3.8 / √100)

z₂ = 5.53

Hence, the probability that the mean distance traveled each day is between 19.4 and 22.5 miles is;

P(19.4 < X < 22.5) = P(z₁ < z < z₂).

Using the z-table, the probability is found to be; P(-2.63 < z < 5.53) ≈ 1.00.

Therefore, the probability that the mean distance traveled each day is between 19.4 and 22.5 miles is approximately 1.00.

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Water treatment plant receives a 5% polymer solution. Calculate how much polymer should be mixed with water to produce 350 gallons of a 0.5% solution.

Answers

Answer:

Polymer to be mixed with water to produce 350 gallons of a 0.5% solution is  1.75 gallons.

Step-by-step explanation:

Solution weight-age   100% = 350 gallons

Polymer weight-age = 0.5 %  = ?

Water weight-age = 99.5 % = ?

100 =99.5 w + 0.5 p

350 = ?      + ?

Using ratios

100          350

0.5           p

Applying the cross product rule

p = 350 *0.5/100= 1.75 gallons

Polymer to be mixed with water to produce 350 gallons of a 0.5% solution is  1.75 gallons

Using ratios

100          350

99.5           w

Applying the cross product rule

w = 350*99.5 /100= 348.25 gallons

Water to be mixed with water to produce 350 gallons of a 0.5% solution is  348.25 gallons

46 people are going to the beach. Nine people can ride in each van. How many vans are needed?

Answers

Answer:

6

Step-by-step explanation:

No. of people going to beach = 46 .

Using Unitary Method ,

9 people can go in one van .

1 person can go in 1/9

46 people can go in 1/9 * 46 = 5.1

Since vans can't be in fraction , 1 extra van for 1 person is need that is for 46th person .

So total number of vans = 5 + 1 = 6

What is the answer for 3743x453

Answers

Answer:

1695579

Step-by-step explanation:

The sum of two numbers is 18 and their difference is 6.
What are the two numbers?
Larger number
Smaller number

Answers

Answer:

Large number=12

Smaller number=6

Step-by-step explanation:

Let the two numbers be x and y

x+y=18

x-y=6

Assume that a sample is used to estimate a population mean u. Find the margin of error M.E. that corresponds to a sample of size 23 with a mean of 37.6 and a standard deviation of 16.1 at a confidence level of 95%.

Report ME accurate to one decimal place because the sample statistics are presented with this accuracy. M.E. ______

Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.

Answers

Based on the illustration above, the value of margin of error M.E is 6.961

Margin of error (M.E) is calculated as the product of critical value (CV) and standard error (SE) of sample mean.

The formula for standard error of sample mean is:

SE = σ/√n

where σ is the population standard deviation and n is the sample size. The formula for margin of error is:

M.E. = CV x SE

where CV is the critical value.

The critical value for a 95% confidence level with 22 degrees of freedom (sample size 23 - 1) is 2.074 (rounded to 3 decimal places).

The sample mean is 37.6 and the population standard deviation is 16.1.

Sample size, n = 23.

Using the formula,

SE = σ/√n

SE = 16.1/√23

SE = 3.365 (rounded to 3 decimal places)

Now, using the calculated value of SE and CV,

ME = CV x SE

ME = 2.074 × 3.365

ME = 6.961 (rounded to 1 decimal place)

Therefore, the margin of error (M.E.) is 6.961 (rounded to 1 decimal place).

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Plsss helppp ASAP

Will mark brainleist

Answers

Answer:

B

Step-by-step explanation:

The average rate of change in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a , b ] = [ 15, 35 ]

and f(b) = f(35) = 400 ← from graph

f(a) = f(15) = 200 ← from graph

Then average rate of change is

[tex]\frac{400-200}{35-15}[/tex] = [tex]\frac{200}{20}[/tex] = 10 m/ s → B

Which of the following sets of numbers could not represent the three sides of a right
triangle?

Answers

Answer:

{48, 64, 81}

Step-by-step explanation:

On their first dive researchers Explorer part of the ocean that is 60 ft below sea level is that can be responded by the integer on their first dive researchers Explorer part of the ocean that is 60 ft below sea level is that can be responded by the integer 60 on their second dive research to explore a deeper depth

Answers

Complete question :

On their first dive, researchers explore a part of the ocean floor that is 60 feet below sea level. This depth can be represented by the integer -60. On their second dive, researchers explore a deeper depth. Write an inequality that represents the possible depth, d, of the researchers' second dive.

Answer:

d < - 60

Step-by-step explanation:

Depth explored during first dive = 60 feets below sea level = - 60 feets

The depth, d explored during second dive is deeper Than that explored during first dive

The inequality representing depth on second,

This means they the depth exceeds 60 feets below sea level. And hence. Deeper than - 60

Therefore, the depth will be values less Than - 60

Hence, d < - 60

dba algebra 2 module 2 flvs what's on it​

Answers

Answer:

Uh i dont really get it

Step-by-step explanation:

best of luck though

An asteroid is heading for the planet Zorgon (diameter of 2600 miles). When it hits, it will create a blast zone that extends 150 miles in all directions from the point of impact. What is the probability that Astronaut Joe, who is on Zorgon currently, will be affected by this impact?

Answers

The probability that Astronaut Joe, who is currently on Zorgon, will be affected by the impact is 0.667%.

To determine the probability that Astronaut Joe will be affected by the impact of the asteroid on planet Zorgon, we need to consider the area of the blast zone in relation to the total area of the planet.

An asteroid is heading for the planet Zorgon with a diameter of 2600 miles. When it hits, it will create a blast zone that extends 150 miles in all directions from the point of impact.

What is the probability that Astronaut Joe, who is currently on Zorgon, will be affected by this impact?

The total surface area of Zorgon is given by:2 * 3.14 * (1,300 miles)2 = 10.6 million sq Miles

The blast zone covers an area of:3.14 * (150 miles)2 = 70,685 sq Miles

To calculate the probability that Astronaut Joe will be affected by the impact, we divide the area of the blast zone by the total surface area of the planet.

That is,70,685 / 10.6 million = 0.00667 = 0.667%.

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If arc QT = (27x + 3) arc RT = (9x – 5) and RST = (102 – 2) find arc RT.

Answers

Answer:

Step-by-step explanation:

x = 6

arc RT = 49°

What is tangent?

"It is a line that intersects the circle exactly at one point."

What is secant?

"It is a line that intersects circle at two points."

For given example,

arc QT = (27x + 3)°

arc RT = (9x – 5)°  

∠RST = (10x – 2)°

From figure we can observe that line ST is tangent and line SQ is secant.

∠RST is the angle subtended by tangent ST and secant SQ

We know, the angle subtended by the tangent and the secant is half the difference of the measures of the intercepted arcs.

⇒ ∠RST = (QT - RT)/2

⇒ 10x - 2 = [(27x + 3) - (9x - 5)] /2

⇒ 2(10x - 2) = 27x + 3 - 9x + 5

⇒ 20x - 4 = 18x + 8

⇒ 20x - 18x = 8 + 4

x = 6

So, arc RT would be,

⇒ 9x - 5 = 9(6) - 5

⇒ 9x - 5 = 49°

Therefore, arc RT = 49°

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Suppose the market demand and supply curves are as given below. In each case, quantity refers to millions of litres of gasoline per month; price is the price per litre (in cents). Demand: P = 350 - 24Q" Supply: P = 140 + 4QS + Given these demand and supply equations, the equilibrium price is 170 cents and the equilibrium quantity is 7.5 million litres. Suppose the government imposes a tax per litre, and as a result the quantity sold is 6.0 million litres. What is the new "consumer price" and what is the new "producer price"? The new price consumers pay is 206 cents. (Enter your response rounded to the nearest cent.) The new price producers receive is cents. (Enter your response rounded to the nearest cent.) Which of the following statements is correct? 1. Research is pointless if an organization lacks the resources (maney, time, and stamf to follow up cen rrearch resits) II. Stakeholders must look at a proposed research project with an open mind if the research project is be successful. None of the statements Statement II Both statements Statement! Justin writes the letters ILLINOIS on cars and then places the cards and a hat what is the probability of picking a N? Probability unit test part one what are 2 benefits of the proadvisor preferred pricing program? Calculate the maturity value of $1,650 made monthly for fouryears at the beginning of each month. Assume interest earns 3.8%compounded monthly. Suppose the grade distribution in our Math 256 class resembles a rectangular density curve, with the x values ranging from 0-4 on a GPA scale) and the height being equal for each GPA value. 1 pts What is the probability a student had a GPA between 1 and 2? A spot of paint on a bicycle tire moves in a circular path of radius 0.29 m. When the spot has traveled a linear distance of 2.48 m , through what angle has the tire rotated? Give your answer in radians. Let R be the region in the first quadrant bounded above by the parabola y = 4-xand below by the line y = 1. Then the area of R is: None of these 6 units squared This option 23 units squared This option 3 units squared Identify the term that completes the equation. AC^2 = (DC)(?)BCADBDAB Selected comparative statement data for Zippo Products Company are presented below. All balance sheet data are as at December 31. 2021 2020 Net sales $800,000 Cost of goods sold 480,000 Interest expense 7,000 Net income 60,000 Accounts receivable 120,000 100,000 Inventory 85,000 75,000 Total assets 600,000 500,000 Total common stockholders' equity 430,000 320,000 In the year 2021, the average selling price per unit has been increased from $200 to $210. On May 2021, the company issued shares of $100,000 at par. The proceeds were used to pay off bank loans outstanding. Average period given by Zippo Products Company to its customers: 40 days. The ratios of Zippo Products Company for year 2020 are: Profit margin. 7.35% Asset turnover. 1.8333 Return on assets. 13.5% Return on common stockholders' equity. 18% Average collection period 41 days Days in inventories 45 days Debt to assets ratio 34.25% Times interest earned 8.85 Requirements: (1) Compute the following ratios for 2021: (a) Profit margin. (b) Asset turnover. (c) Return on assets. (d) Return on common stockholders' equity. (e) Average collection period (f) Days in inventories (g) Debt to assets ratio (h) Times interest earned. (8 marks) (2) Based upon the answer to (1) above, compare and analyse the performance of the company in year 2021 versus the previous year, in term of (a) Profitability (6 marks) (b) Liquidity (3 marks) (c ) Solvency A company buys an oil ng for $1,000,000 on January 1, 2020. The life of the rig is 10 years and the expected cost to dismantle the ng at the end of 10 years is $200,000 (present value at 10% is $77,110) The appropriate interest rate for the company is 10%. What expenses should be recorded for 2020 as a result of these events? OA Depreciation expense of $107,711 and interest expense of $7,711. OB Depreciation expense of $100,000 and interest expense of $20,000 Oc. Depreciation expense of $120,000 and interest expense of $7,711 OD. Depreciation expense of $120,000 ka for hx is 7.5 x 10-10. what is the ph of a 0.15 m solution of nax? In cell B7, find the score from the appropriate probability table to construct a 90% confidence interval. (hint use the T.INV.2T function). In cell B9, find the upper limit for the mean at the 90% confidence level, In cell B10, find the lower limit for the mean at the 90% confidence level. Based on the number in cell B9 and B10, we can be 90% confident of what? Just needing help with these formulas for excelShipment Time to Deliver (Days)1 7.02 12.03 4.04 2.05 6.06 4.07 2.08 4.09 4.010 5.011 11.012 9.013 7.014 2.015 2.016 4.017 9.018 5.019 9.020 3.021 6.022 2.023 6.024 5.025 6.026 4.027 5.028 3.029 4.030 6.031 9.032 2.033 5.034 6.035 7.036 2.037 6.038 9.039 5.040 10.041 5.042 6.043 10.044 3.045 12.046 9.047 6.048 4.049 3.050 7.051 2.052 7.053 3.054 2.055 7.056 3.057 5.058 7.059 4.060 6.061 4.062 4.063 7.064 8.065 4.066 7.067 9.068 6.069 7.070 11.071 9.072 4.073 8.074 10.075 6.076 7.077 4.078 5.079 8.080 8.081 5.082 9.083 7.084 6.085 14.086 9.087 3.088 4.0 The curve showing the short-run relationship between the ________ and the ________ is called the Phillips curve.Choix de groupe de rponsesnominal interest rate; real interest rateprice level; real GDPexchange rate; real interest rateunemployment rate; inflation rate If A(-1, 3), B(4, 4), and C(8, 1), then classify ABC as scalene, isosceles, or equilateral.The answer cannot be determined.isoscelesScalene equilateral7.In the coordinate plane, three vertices of rectangle HIJK are H(0, 0), 1(0, d), and K(e, 0). What are the coordinates of point J?(2e, 2d)(d, e)(e, d)Option DWhat is the solution to the proportion? 4/9 = m/631/28285/77Are the two triangles similar? How do you know?yes; by SAS~yes; by SSS~yes; by AA~no10.Which theorem or postulate proves the two triangles are similar? The figure is not drawn to scale.SAS~ theoremAA~ postulateSA~ postulatesss~ theorem A researcher wanted to test whether the mean blood glucose level for senior citizens is greater than 100 mg/dL. She took a random sample of senior citizens, and the blood glucose level was measured for each individual. The sample mean and sample standard deviation were then calculated. The results were tabulated, and they produced the following results: Test Statistic: 2.39, P-value: 0.0190 Test the claim that the mean blood glucose level of senior citizens is greater than 100 mg/dL at the 0.05 level of significance. 34) You short-sell 200 shares of Tuckerton Trading Co., nowselling for $50 per share. What is your maximum possible loss?Multiple Choice$50$150$10,000unlimited Find the area of the region bounded by the parabola x = -y^2 and the line y = x + 2. Use the one-to-one property of logarithms to solve. In (x^ 2) + ln (9) = ln (7) Which of refers to organisms, communities, populations, and ecosystems as a whole?