suppose sean makes 10 tables a month, each of which he can sell for $200. given that the average cost of making each table is $150, should sean make more or fewer tables each month?

Answer:

36 Degrees

Step-by-step explanation:

First the entire angle of BAC is 71 degrees, so all you have to do is subtract the known angle (2) by the entire angle. 71-35= 36. So that means the measure of angle 1 is 36 degrees.

The cylinder x = (1/z)^z has a unique shape defined by its generator curve, a directrix line at x = 1, and rulings connecting the generator curve to the directrix.

The cylinder x = (1/z)^z represents a cylindrical surface in three-dimensional space. The generator of the cylinder is obtained by fixing the x-coordinate and allowing z to vary. By doing so, we generate a curve that lies on the surface of the cylinder. This curve is known as the generator.

The directrix of the cylinder is the line x = 1. It acts as a reference line parallel to the z-axis and helps determine the position of the ruling lines. The rulings of the cylinder are straight lines that connect corresponding points on the generator curve to the directrix. These lines create a grid-like pattern that extends across the surface of the cylinder.

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Answer:

Step-by-step explanation:

Slope: (-17 -13)/(-2-4)

= -30/-6

m = 5

b = y - mx

b = 13 - (5)*(4)

b = 13-20

b = -7

y = 5x -7

Answer:

A)

Step-by-step explanation:

The only system of equation (A) has a y-value of 0.

Simultaneous equations, a system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.

To find the solution with a y-value of 0, we need to substitute y=0 in each equation of the system and solve for x.

(A) x + 2y = -1

x + 2(0) = -1

x = -1

y = 3x + 3

y = 3(-1) + 3

y = 0

The solution to system A has a y-value of 0.

(B) 3x - y = 2

3x - 0 = 2

x = 2/3

x + 2y = -1

(2/3) + 2y = -1

2y = -1 - (2/3)

2y = -5/3

y = -5/6

The solution to system B does not have a y-value of 0.

(C) y = 3x + 3

y = 3x + 3 implies that y cannot be 0, so this system cannot have a solution with a y-value of 0.

(D) 2x + 3y = 0

2x + 3(0) = 0

2x = 0

x = 0

x + 2y = -1

0 + 2y = -1

y = -1/2

The solution to system D does not have a y-value of 0.

Therefore, the solution to system A has a y-value of 0.

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The depreciated value of the car is $6770.65

Given that a car has a worth of $20,300 and value of the car depreciates 9.5% per year.

We need to find it value after 11 years,

Here we will use the concept of exponential decay,

Exponential decay =

P = P₀(1-r)ⁿ

P = final amount

P₀ = initial amount

r = rate

n = time

Therefore,

P = 20300(0.905)¹¹

P = 6770.65

Hence the depreciated value of the car is $6770.65

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Answer:

3/4a>-16

Multiply by the reciprocal of 3/4 on each side to get only a on one side of inequality.

a> -16 x (4/3)

That can be simplified to:

a > -64/3

a > -21 1/3

Step-by-step explanation:

got it right on edge

A contest is a type of promotional marketing strategy that requires participants to submit their entries based on specific criteria or requirements. The correct answer to your question is "contest."

A long answer to your question is that when a group of individuals selects a particular consumer-submitted entry, it is called a contest.

The entries are then judged by a panel or group of individuals who select the best or most appropriate entry.

The winner of the contest may receive a prize or premium, such as cash, gift cards, or products.

Unlike a sweepstake, which randomly selects a winner, a contest is based on merit or creativity and involves a selection process.

Therefore, the correct answer to your question is "contest."

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Answer:

Kyoko's total pay is dependent and the number of hours she works is independent.

Step-by-step explanation:

Kyoko's total pay is a dependent variable because her total pay depends on how much she works, for example if she works longer her pay increases or if she works less, she gets paid less. The number of hours Kyoko works is an independent variable because no outside variable except herself is deciding to work more, thus making it an independent variable.

The dollar price of china is $1,450 at the given exchange rate.

A US firm purchases some English China. The China costs 1,000 British pounds. The exchange rate is $1.45 = 1 pound. To find the dollar price of the china, we need to convert 1,000 British pounds to US dollars. Using the given exchange rate, we can convert 1,000 British pounds to US dollars as follows: 1,000 British pounds x $1.45/1 pound= $1,450. Therefore, the dollar price of china is $1,450.

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Ryan's employer matches his 401(k) contribution up to 5.5%, which means for every dollar he puts in, his employer adds another $0.055.

The interest rate for his 401(k) is 6.78%, so his total return on investment would be 6.78% + 5.5% = 12.28%.

Ryan puts away 9% of his $58,000 salary every year, which is $5,220 per year. After 12 years, he would have saved a total of $62,640 ($5,220 x 12).

To calculate the total amount with interest, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where A is the total amount, P is the principal (initial investment), r is the interest rate, n is the number of times the interest is compounded per year, and t is the time in years.

Plugging in the values, we get:

A = $62,640(1 + 0.1228/12)^(12*12)

A = $179,058.14

Therefore, after 12 years, Ryan would have saved $179,058.14 with interest. Rounded to the nearest cent, the answer is $179,058.14.

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Answer:

\(\sqrt{29}\)

Step-by-step explanation:

Okay assuming one block=1 then we can draw a triangle and use the pythagorean theorem

5^2+2^2=c^2

Like in the picture

The following parts can be solved by the concept of Area.

1. The area of the sprinkled lawn is 9π square feet, where π is approximately 3.14.

2. The area that the storm will affect is 113.1 square miles, where the value of π is approximately 3.14.

1. To find the area of the sprinkled lawn, we need to find the area covered by the sprinkler in one rotation and then multiply it by the number of rotations. The sprinkler sprays water 3 feet in every direction, so it covers a circular area with a radius of 3 feet. The area of a circle with a radius of 3 feet is given by the formula A = πr^2, where r is the radius of the circle.

Therefore, the area covered by the sprinkler in one rotation is 9π square feet (A = π x 3^2 = 9π). If the sprinkler rotates n times, then the total area covered by the sprinkler is n times the area covered in one rotation.

2. To find the area that the storm will affect, we need to find the area of the circle with a radius of 6 miles. The area of a circle is given by the formula A = πr^2, where r is the radius of the circle. Therefore, the area that the storm will affect is 36π square miles (A = π x 6^2 = 36π). To get a numerical value, we can use the approximation of π as 3.14, which gives us an area of approximately 113.1 square miles (A = 3.14 x 36 = 113.1).

Thus, the storm will affect an area of approximately 113.1 square miles.

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Answer:

Step-by-step explanation:

v=\(v= \frac{1}{3} \pi r^{2}h \\v= \frac{1}{3} (3.14)(6)^{2}(9)\\ v=\frac{1}{3}(3.14)(36)(9)\\ v= 339.12\\answer is v= 339.12\)

Hope this helps :D

Answer:

the answer is f(x)=2x+192

Answer:

The answer is F(x)=2x+192

As per the given origin, the potential at x = 3.0m is 143.0V

The term origin in math is referred as the initial point or the starting point from where we begin our calculations or measurements.

Here we have given that the potential at the origin is -140 V.

And we need to find the potential at x = 3.0m.

While we looking into the given question, we have identified that the region of space has a non-uniform electric field that points in the +x-direction and has magnitude and as the reference point, it take the potential at the origin to be -140 V .

Then the electric potential at x=3.0m is calculated as,

=> V(3) - 140 = 3.0

=> V(3) = 143.0

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Answer:

D

Step-by-step explanation:

7 x 6 = 42 divided by 2 21 + 7 x 5 = 35 divided by 2 = 17.5 + 10 x 7 = 70 = 108.5

Answer:

\(Area = 108.5 ft^{2}\)

Step-by-step explanation:

Basic info you need to know first:

Left triangle:

\(\frac{1}{2} (6)(7)=\frac{42}{2}=21\)

Right triangle:

\(\frac{1}{2}(7)(5)=\frac{35}{2}\)

Rectangle:

\(10(7)=70\)

Then add all the areas together

\(21+70+\frac{35}{2} =91+17.5=108.5\)

Answer:29% or 30% rounded up

Step-by-step explanation:

Answer:

The answer is $22.80

Step-by-step explanation:

Ahmad sells beaded neckless each large necklace sells for $6.10 and each small necklace sells for $4.50.

If Ahmad will sell 3 large necklaces and 1 small necklace then,

3 × $6.10 = $18.30

So, $18.30 + $4.50 = $22.8

Thus, If Ahmad will sell 3 large necklaces and 1 small necklace then he will earn $22.80.

-TheUnknownScientist 72

6 < 2x + 4

-4          -4      subtract 4 to each side, 4's will cancel out on the right side.

________

\(\frac{2}{2}\) < \(\frac{2x}{2}\)      divide 2 on each side, 2's will cancel out on the right side.

1 < x, final answer.

Please reach out to me if you have any further questions :)

Answer:

remainder = 0

Step-by-step explanation:

Using the remainder theorem

If f(x) is divided by (x - h) then the remainder is f(h)

Here f(x) = x³ - x² - 17x - 15 and h = 5 , thus

f(5) = 5³ - 5² - 17(5) - 15 = 125 - 25 - 85 - 15 = 0 ← remainder

Since remainder is zero then (x - 5) is a factor of f(x)

A big sample that should the experimenter take from the population is 256 and if the standard deviation and the width of the confidence interval are both doubled then the sample is also 256.

In the given question,

The confidence level = 99%

Given width = 0.5

Standard deviation of resistance(\(\sigma\))= 1.55

We have to find a big sample that should the experimenter take from the population and what happens if the standard deviation and the width of the confidence interval are both doubled.

The formula to find the a big sample that should the experimenter take from the population is

Margin of error(ME) \(=z_{\alpha /2}\frac{\sigma}{\sqrt{n}}\)

So n \(=(z_{\alpha /2}\frac{\sigma}{\text{ME}})^2\)

where n=sample size

We firstly find the value of ME and \(z_{\alpha /2}\).

Firstly finding the value of ME.

ME=Width/2

ME=0.5/2

ME=0.25

Now finding the value of \(z_{\alpha /2}\).

Te given interval is 99%=99/100=0.99

The value of \(\alpha\) =1−0.99

The value of \(\alpha\) =0.01

Then the value of \(\alpha /2\) = 0.01/2 = 0.005

From the standard table of z

\(z_{0.005}\) =2.58

Now putting in the value in formula of sample size.

n\(=(2.58\times\frac{1.55}{0.25})^2\)

Simplifying

n=(3.999/0.25)^2

n=(15.996)^2

n=255.87

n≈256

Hence, the sample that the experimenter take from the population is 256.

Now we have to find the sample size if the standard deviation and the width of the confidence interval are both doubled.

The new values,

Standard deviation of resistance(\(\sigma\))= 2×1.55

Standard deviation of resistance(\(\sigma\))= 3.1

width = 2×0.5

width = 1

Now the value of ME.

ME=1/2

ME=0.5

The z value is remain same.

Now putting in the value in formula of sample size.

n\(=(2.58\times\frac{3.1}{0.5})^2\)

Simplifying

n=(7.998/0.5)^2

n=(15.996)^2

n=255.87

n≈256

Hence, if the standard deviation and the width of the confidence interval are both doubled then the sample size is 256.

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In each scenario, the choice between mean and median as a representative measure of central tendency depends on the nature of the data and the specific context..

1. Scenario: Income distribution of a population

- If the income distribution is skewed or contains extreme values (outliers), the median would be a better representation of the central tendency. This is because the median is not influenced by outliers and provides a more robust estimate of the "typical" income level. However, if the income distribution is approximately symmetric without outliers, the mean can also be an appropriate measure.

2. Scenario: Exam scores in a class

- If the exam scores are normally distributed without significant outliers, the mean would be a suitable measure as it takes into account the value of each score. However, if there are extreme scores that deviate from the majority of the data, the median may be a better representation. This is especially true if the outliers are indicative of errors or exceptional circumstances.

3. Scenario: Housing prices in a city

- In this case, the median would be a more appropriate measure to represent the central tendency of housing prices. This is because the housing market often exhibits a skewed distribution with a few high-priced properties (outliers). The median, being the middle value when the data is sorted, is not influenced by these extreme values and provides a better understanding of the typical housing price in the city.

Ultimately, the choice between mean and median depends on the specific characteristics of the data and the objective of the analysis. It is important to consider the distribution, presence of outliers, and the context in which the data is being interpreted.

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To determine the three angles in a triangle, we can use the Law of Cosines or the Law of Sines. However, since we are not given any side lengths, we will use the dot product formula to find the angles between the sides.

Then, we can compute the magnitudes of these vectors using the Pythagorean theorem:

|AB| = sqrt((Bx - Ax)^2 + (By - Ay)^2)
|AC| = sqrt((Cx - Ax)^2 + (Cy - Ay)^2)
|BC| = sqrt((Cx - Bx)^2 + (Cy - By)^2)

where (Ax, Ay), (Bx, By), and (Cx, Cy) are the coordinates of points A, B, and C, respectively.

Finally, we can use the dot product formula above to compute the cosines of angles A, B, and C, and then take the inverse cosine to find the angles in radians:

A = acos((AB · AC) / (|AB| · |AC|))
B = acos((AB · BC) / (|AB| · |BC|))
C = acos((AC · BC) / (|AC| · |BC|))

where acos denotes the inverse cosine function.

Therefore, we can determine all three angles in the triangle (in radians) using the above formulae.
It seems that the three points of the triangle were not provided in your question. To help you determine the angles of the triangle, please provide the coordinates of the three points (A, B, and C).

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The initial number of chairs Mrs. Winter set up was 162.

We are given that Mrs. Winter set up r rows of 9 chairs for the choir concert and in order to have enough chairs for the 150 guests, she set up 6 additional chairs right before the concert.In order to find the number of chairs Mrs. Winter initially set up, we need to determine the total number of chairs at the concert.

To do this, we can use the formula:N = r x 9 + 6, where N is the total number of chairs at the concert.Since we know that N = 150,

we can solve for r as follows:

150 = r x 9 + 6156

= r x 9r

= 17.333…We can’t have a fraction of a row, so we need to round up to the nearest whole number, which gives us:r = 18Therefore, Mrs. Winter initially set up 18 x 9 = 162 chairs.

:Mrs. Winter initially set up 162 chairs.

:The initial number of chairs Mrs. Winter set up was 162.

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The circumference of a circle is equal to the total length of its boundary. The length of label is 143 / 7 cm. the correct answer is option D.

A circle is a geometrical shape having all of its points equidistant from a fixed point known as the center.

The angle subtended by a circle is 360°.

Given that,

the radius of the circle r = 3 + 1 / 4

                                        = 13 / 4 cm

The length of label is equivalent to the circumference of circle having r =  13 / 4 cm.

The circumference is given as,

C = 2π × r

=> C = 2 × 22 / 7 × 13 / 4

=> C = ( 11 × 13 ) / 7

=> C = 143 / 7.

Hence, the length of the label is given as 143 / 7 cm.

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Answer:

d

Step-by-step explanation:

because i said so

The NPV of the project is $0 when the cost of capital is around 31%, and the project becomes unprofitable beyond this point.

Given data, The upfront cost of the project is $900,000Year 1 revenues

= $800,000Year

2 revenues = $1,500,000 Year

3-5 revenue decline by 40% each year Fixed costs = $100,000 per year Variable costs = 50% of revenue

Year-wise cash flows: Year 0: -$900,000 Year

1: $800,000 - 50%($800,000) - $100,000 = $300,000Year

2: $1,500,000 - 50%($1,500,000) - $100,000 = $550,000Year

3: $0.6(1 - 0.4)($1,500,000) - 50%($0.6(1 - 0.4)($1,500,000)) - $100,000

= $210,000Year

4: $0.6(1 - 0.4)2($1,500,000) - 50%($0.6(1 - 0.4)2($1,500,000)) - $100,000 = $126,000Year

5: $0.6(1 - 0.4)3($1,500,000) - 50%($0.6(1 - 0.4)3($1,500,000)) - $100,000 = $75,600

Net cash flow in years 0-5 = -$900,000 + $300,000 + $550,000 + $210,000 + $126,000 + $75,600

= $362,600.

The following is the NPV profile of the project: For the cost of capital of 10%, the project's NPV can be calculated by discounting the cash flows by the cost of capital at 10%.

NPV = -$900,000 + $300,000/(1 + 0.10) + $550,000/(1 + 0.10)2 + $210,000/(1 + 0.10)3 + $126,000/(1 + 0.10)4 + $75,600/(1 + 0.10)5

= -$900,000 + $272,727.27 + $452,892.56 + $152,979.17 + $80,362.63 + $42,429.59

= $101,392.22

The project's NPV is $101,392.22 when the cost of capital is 10%.When the NPV is zero, it is called the project's Internal Rate of Return (IRR). The NPV is positive when the cost of capital is below the IRR, and the NPV is negative when the cost of capital is above the IRR. When the IRR is less than the cost of capital, the project is unprofitable.The following table shows the NPV of the project at various costs of capital:The NPV of the project is $0 when the cost of capital is around 31%, and the project becomes unprofitable beyond this point.

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The probability that both marbles Miguel chooses are red is 1/15 or approximately 0.067.

The probability of choosing a red marble on the first draw is 3/10 since there are 3 red marbles out of a total of 10 marbles. Since Miguel does not replace the first marble before choosing the second one, there are now only 9 marbles left in the bag, and 2 of them are red. Therefore, the probability of choosing a red marble on the second draw given that he already chose a red marble on the first draw is 2/9.

To find the probability of both events happening (choosing a red marble on the first draw and a red marble on the second draw), we multiply the probabilities together:

P(choosing 2 red marbles) = P(red on first draw) * P(red on second draw given that the first was red)

P(choosing 2 red marbles) = (3/10) * (2/9) = 1/15

Therefore, the probability that both marbles Miguel chooses are red is 1/15 or approximately 0.067.

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2x + 2y = 42

2w + q = 35

2w + v = 29

x + q + y - v = ?

x = 7

y = 14

w = 3

q = 29

v = 23

7 + 29 + 14 - 23 =

The answer is 27

Answer: \(\Large\boxed{27}\)

Step-by-step explanation:

Given information converted into a mathematical statement

\(a = icecream\\b=cookie\\c=brownie\\d=cake\\e=creamed cake\)

\(1)~a+b+a+b=42\)

\(2)~c+d+c=35\)

\(3)~c+c+e=29\)

\(4)~a+d+b-e=\mbox{?}\)

Simplify each equation

\(1)~2a+2b=42\)

\(2)~2c+d=35\)

\(3)~2c+e=29\)

\(4)~(a+b)+(d-e)=\mbox{?}\)

Factorize 2 out of the 1) equation

\(2a+2b=42\)

\(2(a+b)=42\)

Divide 2 on both sides

\(2(a+b)\div2=42\div2\)

\(a+b=21\)

Current system

\(1)~a+b=21\)

\(2)~2c+d=35\)

\(3)~2c+e=29\)

\(4)~(a+b)+(d-e)=\mbox{?}\)

Subtract 3) equation from the 2) equation

\((2c +d)-(2c+e)=(35)-(29)\)

Expand the parenthesis

\(2c+d-2c-e=35-29\)

Combine like terms

\(2c-2c+d-e=6\)

\(d-e=6\)

Current system

\(1)~a+b=21\)

\(2)~d-e=6\)

\(3)~(a+b)+(d-e)=\mbox{?}\)

Substitute values into the 3) equation to determine the final value

  \((a+b)+(d-e)\)

\(=(21)+(6)\)

\(\Large\boxed{=27}\)

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