A​ salesperson's commission rate is ​6%. What is the commission from the sale of 44000 worth of​ furnaces? Use pencil and paper. Suppose sales would double. What would be true about the​ commission? Explain without using any calculations.

Answer:

(a-b+c+d)(a-b-c-d) answer of the following questoin

A) The maximum revenue is 450000$

B) The maximum profit is 216000$ when 2400 sets are manufactured and sold for 180$ each

C) When each set is taxed at ​$55​, the maximum profit is 99125$ when 1850 sets are manufactured and sold for 207.5$ each.

A)p(x)=300−(x/20​),

revenue R(x)=p*x

revenue R(x)=300x -(x2/20)

for maximum revenue dR/dx =0 ,

=>300-(2x/20)=0

=>x/10=300

=>x=3000

maximum revenue = R(3000)=300*3000 -(30002/20)

maximum revenue = R(3000)=450000$

B) profit =revenue -cost

profit P(x)=300x -(x2/20)-72000-60x

profit P(x)=240x -(x2/20)-72000

for maximum cost dP/dx =0

240 -(2x/20)=0

x=240*10

x=2400

p(2400)=300−(2400/20​)=180

profit P(2400)=240*2400 -(24002/20)-72000 =216000

The maximum profit is 216000$ when 2400 sets are manufactured and sold for 180$ each

c)

profit =revenue -cost -tax

profit P(x)=300x -(x2/20)-72000-60x-55x

profit P(x)=185x -(x2/20)-72000

for maximum cost dP/dx =0

185-(2x/20)=0

x=185*10

x=1850

p(1850)=300−(1850/20​)=207.5

profit P(1850)=185*1850 -(18502/20)-72000

profit P(1850)=99125$

When each set is taxed at ​$55​, the maximum profit is 99125$ when 1850 sets are manufactured and sold for 207.5$ each.

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Answer:

b

Step-by-step explanation:

your answer is b to be precise

99.7% of the students scored between (44.67 , 56.33) i.e.

between 44 and 56.

On Subtracting 1 from your sample size, we get

100 – 1 = 99.

On Subtracting confidence level from 1, and then divide by two.

(1 – .997) / 2 = 0.0015

Now, df = 99 and α = 0.0015

from the table at df = 99 we got 2.262.

Divide your sample standard deviation by the square root of your sample size.

28 / √(100) = 2.8

Now, 2.262 × 2.8 = 6.33

So, the confidence interval be,

(100 - 6.33 , 100 + 6.33) = (44.67 , 56.33)

Hence, 99.7% of the students scored between (44.67 , 56.33) i.e.

between 44 and 56.

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The null and alternative hypotheses are-

The null and alternate hypothesis must be formulated as two opposed and mutually excluding hypotheses for hypothesis testing.

A specific laptop model's battery has a typical life of more than 9 hours, according to the claim.

For this assertion, we form:

Null hypothesis H₀; μ ≤ 9

Alternative hypothesis Hₐ: μ > 9

The assertion is represented by the alternative hypothesis in this right-tailed test.

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Step-by-step explanation:

it seems the questions 8., 9. and 10. demonstrate exactly what is the asked via variables in 11., 12. and 13.

you only need to apply the principles of equal angles of crossing lines again.

11.

to be parallel

50 + (x + 30) = 180

x + 80 = 180

x = 100.

12.

135 = 2y + 15

120 = 2y

y = 60

13.

70 = 4x - 10

4x = 80

x = 20

14.

yes, because

142 + 38 = 180°

15.

yes, because

112 + 68 = 180°

16.

no, because

146 + 44 = 190° <> 180°

17.

to be parallel, angle 1 = angle 2

88 = 2x

x = 44

18.

to be parallel, angle 1 = angle 3

88 = 2x + 10

2x = 78

x = 39

8 ounce of yellow color required.

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two quantities of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol. As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

if you mix 3 ounces of blue paint and 2 ounces of yellow paint.

So, we have the composition ratio as 2:3

Then, to make 20 ounce paint 2/5 of the 20 ounces will be yellow paint, and the other 3/5 will be blue needed.

Thus, yellow = 2/5 x 20= 8 ounce

Blue= 3/5 x20 = 12 ounce

Hence, 8 ounce of yellow color required.

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Answer: rate of change = 2

Step-by-step explanation:

The decision rule is reject H(0) if t>1.714, test statistic t is 7.157 and Yes, we can conclude that the correlation in the population is greater than zero.

In the given question,

A study of 20 worldwide financial institutions showed the correlation between their assets and pretax profit to be 0.86.

n=20, r = 0.86

The decision rule for α=0.05 significance level:

H(0): P ≤ 0

H(1): P > 0

Degree of freedom(df) = n-2

Degree of freedom(df) = 20-2

Degree of freedom(df) = 18

This is the right tailed test using the t table.

Critical Value: [tex]t_{\alpha /2}[/tex], df = [tex]t_{\alpha /2}[/tex] = 1.714

(a) The decision rule is reject H(0) if t>1.714.

(b) Test statistic is t

t= r√(n−2)/√(1–r^2)

t= 0.86*√(20 -2)/√(1-(0.86)^2)

t= 0.86*√18/√(1-0.7396)

t= 0.86*4.243/√0.2604

t= 3.65/0.51

t= 7.157

Test statistic = 7.157

(c)  We have to conclude that the correlation in the population is greater than zero.

Yes, we can conclude that the correlation in the population is greater than zero.

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In the domain of finance, an R-Squared value above 0.7 is typically seen as indicating a high level of correlation, whereas one below 0.4 indicates a low level of correlation.

A statistical measure known as correlation expresses how closely two variables are related linearly (meaning they change together at a constant rate). It's a typical technique for describing straightforward connections without explicitly stating cause and consequence.

The strength of the association is measured by the sample correlation coefficient, or r. The statistical significance of correlations is also examined.

For describing straightforward links between data, correlations are helpful. Consider a dataset of campgrounds in a park in the mountains as an illustration. You're interested in finding out if the height of the campsite—how high up the mountain it is—and the summer's typical high temperature are related.

Hence, In the domain of finance, an R-Squared value above 0.7 is typically seen as indicating a high level of correlation, whereas one below 0.4 indicates a low level of correlation.

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Answer: $7.5 tip

Step-by-step explanation:

divide 3 an 20 then get 0.15

then multiply 0.15 to 50 get 7.5

The statements are insufficient to answer the question.

What is measurement?

Measurement is the quantification of an object's or event's attributes for comparison with other objects or events. Measurement, in other words, is the process of determining how large or small a physical quantity is in comparison to a basic reference quantity of the same kind.

So we are given 2 lists, x and y and we are given the

1.  The total number of measurements is 30. x(n) + y(n) = 30.

2. Largest measurement - Smallest Measurement = 25

But we are not told the number of measurements in either x or y. We also don't know whether the largest of smallest measurement of the combined range belongs to x or y.

We need to find the largest measurement of x and the smallest measurement of x for our answer.

1)The range for the 12 measurements in list y is 20.

Okay so we know that y has 12 measurements, therefore x has 18. And we know the y(largest) - y(smallest) = 20 INSUFFICIENT

2) List x consists of 18 measurements.

We are told that x consists of 18 elements. We already figured this out in Statement 1 as well. It again does not tell us anything further. INSUFFICIENT DATA

Hence, the statements are insufficient to answer the question.

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Answer:

0.36

0.26

0.16

0.06

the answers doesn't come in -

Answer:

a=3/4

Step-by-step explanation:

1) add 1/6 on both sides

-> 2/3a= 1/3+1/6

->2/3a = 1/2

2) isolate a by multiplying 3/2 on both sides

-> 2/3 x 3/2 a = 1/2 x 3/2

-> a=3/4

Answer: 48%

Step-by-step explanation:

scale up,

24/50=x/100

multiply 24/50 by 2 to get 100

so you get 48/100 which is 48%

Answer:

57 I think I'm not entirely sure

Answer: 86.8 dollars per month

Answer: 23

Step-by-step explanation:

Answer: 23

Step-by-step explanation:

Answer:

6ft

Step-by-step explanation:

3 divided by 1/2 = 6

The probability that he will miss is 25%.

What is probability?

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

The odds in favor of Michael Jordan making a free throw were 21:4.

Total number of throw is 21+4 = 25

The number of time he will miss is 4

So the probability that he will miss is 4/25 = 0.25

Hence, the probability that he will miss is 25%.

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Answer:

Step-by-step explanation:

The word ‘channel’ has multiple meanings which can be discerned based on the context.

What is the thesaurus entry for the channel?

According to the thesaurus, as a noun, the word channel has two meanings. They are-

A pathway that contains water - here the channel is a strait or a small stream of water. The synonyms of the word, in this case, would be - avenue, carrier, route, and tunnel.

A means to achieve something- The synonyms, in this case, are the instrument, medium, and vehicle.

As a verb, the word channel means to direct or to convey something. Thus the synonyms would be to carry and to transmit.

How is ‘channel’ used in the contexts above?

In the sentences above the word, 'channel' is used as follows

She was the first swimmer to cross the channel between the two countries.- Here, the channel is a water body.

If you want your complaint to be addressed, you need to go through the appropriate channel.- Here, the channel is a medium or a route.

Answer:

It would have a slope of a positive 6x

Step-by-step explanation:

Since the slope of the equation shown is -6x, we would just find the opposite which is -6x

Answer:

I would rather use Jane's bank because she earned more interest in a shorter amount of time. Jane's bank has a higher simple interest rate of 3.7%, which means she earned more money in a shorter amount of time than Tommy did with his 3.9% rate.

Therefore solution to this question is slope at (0,-1) is negative at (-2,2) is negative at (1,-3) is negative & (0,4) is also negative.

A slope field, which displays the slope of a differential equation along specific vertical and horizontal axes of the x-y plane, can be used to estimate the tangent slope at a particular point on a curve, where the curve is one possible solution to the differential equation.

Here,

For figure 1 slope field=

[tex]\frac{dy}{dx}=\frac{-17x-2y}{y}[/tex]

For figure 2 slope field=

[tex]\frac{dy}{dx} = xy-3\\[/tex]

For figure 1 a solution passing through the point (0,-1)

therefore,

slope=

[tex]\frac{dy}{dx}=\frac{-17x-2y}{y}\\\frac{dy}{dx}=\frac{-17(0)-2(-1)}{-1}=-2[/tex]

so slope comes out to be negative

For figure 1 a solution passing through the point (-2,2)

[tex]\frac{dy}{dx}=\frac{-17x-2y}{y}\\\frac{dy}{dx}=\frac{-17(-2)-2(2)}{-1}=-30[/tex]

so slope comes out to be negative

For the slope field in figure 2. a solution passing through the point (1.-3)

[tex]\frac{dy}{dx} = xy-3\\\\\frac{dy}{dx}=(1*-3)-3=-6[/tex]

so slope comes out to be negative

[tex]\frac{dy}{dx} = xy-3\\\\\frac{dy}{dx}=(0*4)-3=-3[/tex]

so slope comes out to be negative.

Therefore solution to this question is slope at (0,-1) is negative at (-2,2) is negative at (1,-3) is negative & (0,4) is also negative.

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Answer:12

Step-by-step explanation:

The required length and width of the square garden is 5ft.

Given that,
Regan is making a square garden in her backyard with an area of 25ft² length and width of the garden is to be determined.

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

here,
According to the question, l = w
Area of the garden = 25
l × w = 25
l × l = 25
l = 5

Thus, the required length and width of the square garden is 5ft.

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The linear function is C(x) = 500 + 1.25x and the revenue function is R(x) = 3.50x.

What is a function?

An expression, rule, or law in mathematics that specifies the relationship between an independent variable and a dependent variable

solution:

The linear function:

  C(x) =  1.25x + 500

For revenue function:

  R(x) = 3.50x

R(50) = 3.50(50)

         = $175

Using the C(x) and revenue function we can find the number of slushies and profit.

Thus, the linear function is C(x) = 500 + 1.25x and the revenue function is R(x) = 3.50x.

Hence the linear and revenue functions are C(x) =  1.25x + 500 and  R(x) = 3.50x

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Answer: r=4

Step-by-step explanation:

12/3 = 4

48/3 = 4

192/48 = 4