NEED HELP ASAPP PLEASE!!

Diversified Citrus Industries will sell Zap to wholesalers at a price of $0.035 per 8-ounce can. The contribution per unit for Zap is -$0.205, indicating potential profitability issues.

a. To determine the price at which Diversified Citrus Industries will be selling its product to wholesalers, we need to consider the suggested retail price, the unit variable costs, and the desired margins for retailers and wholesalers. The suggested retail price to the consumer for the 8-ounce can is $0.05. The unit variable costs for the product are $0.18 for materials and $0.06 for labor. The company intends to give retailers a margin of 20% off the suggested retail price and wholesalers a margin of 10% of the retailer's cost.

Price to Wholesalers = Suggested Retail Price - Retailer's Margin - Wholesaler's Margin

Price to Wholesalers = $0.05 - ($0.05 * 20%) - ($0.05 * 10%)

Price to Wholesalers = $0.05 - $0.01 - $0.005

Price to Wholesalers = $0.035

Therefore, Diversified Citrus Industries will be selling its product to wholesalers at a price of $0.035 per 8-ounce can.

The contribution per unit for Zap can be calculated by subtracting the unit variable costs from the selling price to wholesalers:

Contribution per Unit = Price to Wholesalers - Unit Variable Costs

Contribution per Unit = $0.035 - ($0.18 + $0.06)

Contribution per Unit = $0.035 - $0.24

Contribution per Unit = -$0.205

Since the contribution per unit is negative, it means that the variable costs exceed the price to wholesalers. This suggests that the product may not be profitable in its current pricing and cost structure.

The break-even unit volume in the first year can be calculated by dividing the fixed overhead costs by the contribution per unit:

Break-even Unit Volume = Fixed Overhead Costs / Contribution per Unit

Break-even Unit Volume = $90,000 / (-$0.205)

However, since the contribution per unit is negative, the break-even unit volume cannot be determined using this approach.

The first-year break-even share of the market cannot be determined based on the information provided. The total market size and the expected sales volume of Zap are not specified, making it impossible to calculate the market share at the break-even point.

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Answer:

12 gallons

Step-by-step explanation:

Given the following :

Total amount of gas used by aircraft = 51 gallons

Flight departure time = 9:30 a.m

Arrival time of flight = 1:45p.m

Number of hours traveled by flight:

Arrival time - Departure time

1:45pm - 9:30a.m = 4hrs 15 minutes = [(60*4)+15] minutes = 240 + 15 = 255 minutes

Amount of gallons used per hour :

255 minutes = 51 gallons

I minutes = x

255x = 51 gallons

x = 51 / 255

x = 0.2 gallons

0.2 gallons per minute

1 hour = 60 minutes

Number of gallons per hour = (0.2 * 60) = 12 gallons

Answer:

298.27

Step-by-step explanation:

6% of 281.39 is 16.88. then you get 281.39+16.88 to get 298.27

To find the equation of the line passing through (3, 5) and parallel to the line containing (-4, 0) and (-1, -2), we need to use the slope-intercept form of a line:

y = mx + b

where m is the slope of the line and b is the y-intercept.

First, we need to find the slope of the line containing (-4, 0) and (-1, -2):

m = (y2 - y1) / (x2 - x1)

m = (-2 - 0) / (-1 - (-4))

m = -2 / 3

Since the line we're looking for is parallel to this line, it will have the same slope.

Now we can use the point-slope form of a line to find the equation of the line passing through (3, 5) with slope -2/3:

y - y1 = m(x - x1)

y - 5 = (-2/3)(x - 3)

Simplifying and rearranging, we get:

y = (-2/3)x + 7

So the equation of the line containing the point (3, 5) and parallel to the line containing (-4, 0) and (-1, -2) is y = (-2/3)x + 7.

I Believe This is the answer

Answer: The line through (-4, -6, 1) and (-2, 0, -3), is parallel to the line through (10, 18, 4) and (5, 3, 14).

Step-by-step explanation:

Have a Great Day

The given system of equations has a unique solution if p is not equal to 2. If p is equal to 2 and q is equal to 4, the system has infinitely many solutions.Therefore, the correct answer is (a) 1 correct.

The given system of equations is:

2x - y = 4

px - y = q

To determine if the system has a unique solution, we need to analyze the coefficients of x and y.In the first equation, the coefficient of y is -1. In the second equation, the coefficient of y is also -1.If the coefficients of y are equal in both equations, the system may have infinitely many solutions. However, if the coefficients of y are different, the system will have a unique solution.

Now, we consider the options:

a) 1 correct: This statement is correct. If p is not equal to 2, the coefficients of y in both equations will be different (-1 in the first equation and -1 in the second equation), and thus the system will have a unique solution.b) 2 correct: This statement is correct. If p is equal to 2 and q is equal to 4, the coefficients of y in both equations will be the same (-1 in both equations), and therefore the system will have infinitely many solutions.

c) 1 and 2 correct: This statement is incorrect because option 1 is true but option 2 is only true under specific conditions (p = 2 and q = 4).d) 1 and 2 are false: This statement is incorrect because option 1 is true and option 2 is also true under specific conditions (p = 2 and q = 4).

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Answer:95 degrees

Step-by-step explanation:

It is the same angle as the labeled Angle

Answer:

Step-by-step explanation:

You need the Pythagorean Theorem to solve this question. There is no be part.

Equation

c^2 = a^2 + b^2

Givens

a = 32

b = 21

c = ?

Solution

c^2 = a^2 + b^2              Substitute the values

c^2 = 32^2 + 21^2          Expand

c^2 = 1024 + 441            Combine

c^2 = 1465                     Take the square root of both sides

√c^2 = √1465  

c = 38.275

Answer: 38.3 rounded

The Proportion of healthy adults have pulse rates that are more than 86 beats/minute is 27.42%

Z- Score gives an idea how far a data point is from mean .

z = x- μ / σ where numerator is difference between the random variable and the actual mean dividing by the standard deviation .

Given , mean = 80beats/minute

standard deviation = 10 beats/minute

x = 86 beats/minute

Applying z score formula :

z-score = (x-mean)/standard deviation

P(x>86) = P(z > 86-80/10)

=P(z>6/10)

=P(z>0.6) = 1 - P(z<0.6)

= 1 -0.7257

= 0.2742

Hence, the proportion of healthy adults have pulse rates that are more than 86 beats/minute is 0.2742

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Answer:

x= +8 or -8

Step-by-step explanation:

x=  -b±\(\sqrt{b^2-4ac}\) /2a

x=−0±\(\sqrt{0^2 negative4(1)( negative 64)}\) /√2(1)

x=−0±0\(\sqrt{256}\)/√2

x=−0±256−−−√2

x=−0±162

x=16/2 x=−16/2

x=8

x=−8

The observation tower is 12 yards tall

Answer:

741^-8

Step-by-step explanation:

Answer:

Connor will earn more interest because he is getting compound interest.

Step-by-step explanation:

I have to assume in this case that the interest is 3.5% Per year:

Simple Interest = P(r + t)

{P = Principle, r = interest rate, t = time)

Wendy = $8,300 x (3.5% x 25)

Wendy = $7,262.50 (2 d.p)

Wendy = $8,300 + $7,262.50

Wendy = $15,562.50

Compound Interest = \(P (1 +r )^{t}\)

{P = Principle, r = interest rate, t = time)

Connor = $8,300 x \((1 + 0.035)^{25}\)

Connor = $19,614.93

Wendy's Interest = $15,562.50 - $8,300 = $7,262.50

Connor's interest = $ 19,614.93 - $8,300 = $11,314.93

Connor earned more interest by $4,052.43

___________________________________________________

Hope this helps!

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The correct statement regarding the mean absolute deviation of the delivery times is given as follows:

B. The mean number of deliveries for driver A is less than the mean number of deliveries for driver B by 1 MAD.

Both drives have the same MAD, however the mean for Driver A is 3 less than the mean for driver B, that is, one MAD less.

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The expression \(\mathbf{\frac{\left(x^2\:-\:\frac{1}{y^2}\right)^x\cdot \left(x\:-\:\frac{1}{y}\right)^{y-x}}{\left(y^2\:-\:\frac{1}{x^2}\right)^y\cdot \left(y\:+\:\frac{1}{x}\right)^{x-y}}}\) when simplified to the simplest form is \(\frac{x^{x+y}}{y^{x+y}}}\)

From the question, we have the following expression to be used in our computation:

\(\mathbf{\frac{\left(x^2\:-\:\frac{1}{y^2}\right)^x\cdot \left(x\:-\:\frac{1}{y}\right)^{y-x}}{\left(y^2\:-\:\frac{1}{x^2}\right)^y\cdot \left(y\:+\:\frac{1}{x}\right)^{x-y}}}\)

Simplifying the numerator, we get

\(\mathbf{\frac{\left(x^2\:-\:\frac{1}{y^2}\right)^x\cdot \left(x\:-\:\frac{1}{y}\right)^{y-x}}{\left(y^2\:-\:\frac{1}{x^2}\right)^y\cdot \left(y\:+\:\frac{1}{x}\right)^{x-y}} = \frac{\left(x^2y^2 - 1\right)^x\cdot \left(xy - 1\right)^{y-x}/y^{x+y}}{\left(y^2\:-\:\frac{1}{x^2}\right)^y\cdot \left(y\:+\:\frac{1}{x}\right)^{x-y}}}\)

Simplifying the denominator, we get

\(\mathbf{\frac{\left(x^2\:-\:\frac{1}{y^2}\right)^x\cdot \left(x\:-\:\frac{1}{y}\right)^{y-x}}{\left(y^2\:-\:\frac{1}{x^2}\right)^y\cdot \left(y\:+\:\frac{1}{x}\right)^{x-y}} = \frac{\left(x^2y^2 - 1\right)^x\cdot \left(xy - 1\right)^{y-x}/y^{x+y}}{\left(x^2y^2 - 1}\right)^y\cdot \left(xy\:+\:1\right)^{x-y}/x^{y+x}}}\)

Applying the following fraction rule:

(a/b)/(c/d) = (a * d)/(b * c)

So, we have

\(\mathbf{\frac{\left(x^2\:-\:\frac{1}{y^2}\right)^x\cdot \left(x\:-\:\frac{1}{y}\right)^{y-x}}{\left(y^2\:-\:\frac{1}{x^2}\right)^y\cdot \left(y\:+\:\frac{1}{x}\right)^{x-y}} = \frac{\left(x^2y^2 - 1\right)^x\cdot \left(xy - 1\right)^{y-x} \cdot x^{x+y}}{\left(x^2y^2 - 1}\right)^y\cdot \left(xy\:+\:1\right)^{x-y} \cdot y^{x+y}}}\)

Cancel the common factors

So, we have

\(\mathbf{\frac{\left(x^2\:-\:\frac{1}{y^2}\right)^x\cdot \left(x\:-\:\frac{1}{y}\right)^{y-x}}{\left(y^2\:-\:\frac{1}{x^2}\right)^y\cdot \left(y\:+\:\frac{1}{x}\right)^{x-y}} = \frac{x^{x+y}}{y^{x+y}}}\)

Hence, the expression when simplified is \(\frac{x^{x+y}}{y^{x+y}}}\)

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Answer:

4. 432 cm^2/2 = 216 cm^2

6. 309.76 mm^2

8. pi * 22^2 = 484pi (or, approximately 1,519.76) in^2

484/2 = 242pi or 759.88 in^2.

10. 297.84 in^2/2 = 148.92 in^2

Step-by-step explanation:

To find the area of a triangle, you take the base and multiply by the height, and then divide by 2. Hence giving me the answers I obtained in #4 and #10.

A square is equal on all sides, so you would just square the measurement of the one side.

To find the area of a circle, you would do pi times the radius^2. Since this is a semicircle, you actually should divide the number you got by 2. (Which is why I did so up above).

I hope this helps!

The area of a shape is the amount of space it can occupy.

The areas of the shapes are: 216cm\(^2,\), 309.76mm\(^2,\),760.61in\(^2,\) and 148.92 in\(^2,\) respectively

(a) Triangle

Given that:

\(Base = 27cm\)

\(Height = 16cm\)

The area is:

\(Area = 0.5 \times Base \times Height\)

\(Area = 0.5 \times 27cm \times 16cm\)

\(Area = 216cm^2\)

(b) Square

Given that:

\(Length = 17.6mm\)

The area is:

\(Area = Length^2\)

\(Area = (17.6mm)^2\)

\(Area = 309.76mm^2\)

(c) Semi-circle

Given that:

\(diameter =44in\)

First, calculate the radius (r)

\(r = 0.5 \times diameter\)

\(r = 0.5 \times 44in\)

\(r = 22in\)

The area is:

\(Area = \frac{\pi r^2}{2}\)

\(Area = \frac{3.143 \times (22in)^2}{2}\)

\(Area = 760.61in^2\)

(d) Triangle

Given that:

\(Base = 20.4in\)

\(Height = 14.6in\)

The area is:

\(Area = 0.5 \times Base \times Height\)

\(Area = 0.5 \times 20.4in \times 14.6in\)

\(Area = 148.92in^2\)

Hence, the areas are: 216cm\(^2,\), 309.76mm\(^2,\),760.61in\(^2,\) and 148.92 in\(^2,\) respectively

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The three solutions of the equation y = -2x - 1 are (–2, 3), (1, –3), and (2, –4).

To find the solutions, we substitute different values of x into the equation and solve for y.

For the first solution, when x is –2, we have y = -2(-2) - 1 = 3. Therefore, the first solution is (-2, 3).

For the second solution, when x is 1, we have y = -2(1) - 1 = -3. Thus, the second solution is (1, -3).

For the third solution, when x is 2, we have y = -2(2) - 1 = -4. Hence, the third solution is (2, -4).

These three points satisfy the equation y = -2x - 1, and therefore, they are the solutions of the equation. They represent coordinate pairs (x, y) where the equation holds true.

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Since these are the only two categories that contain oil, the probability of finding oil is the sum of the probabilities of finding high-quality oil and medium-quality oil.

Given that to find

P(finding oil) = P(high-quality oil) + P(medium-quality oil)

= 0.50 + 0.20

= 0.70

Thus the probability of finding oil is 0.70, or 70%.

Probability is a measure of how likely an event is to occur. It is a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain. The probability of an event is calculated by dividing the number of possible outcomes by the number of favourable outcomes.

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Answer: 17.5%

Step-by-step explanation:

Flipping tails: 50%

Rolling at least 14: 35%

Total: 50% x 35% = 17.5%

I donno if i'm right

Answer:

3x (2x+1)

Step-by-step explanation:

Factor 3x out of 6x + 3x

step 1 6+3 add numbers

step 2 x²×x¹ multiply powers

step 3 9X²

The measure of side JG is approximately 115 units in the quadrilateral GHIJ.

What is quadrilateral ?

A quadrilateral is a four-sided polygon, which means it is a closed figure with four straight sides. The word "quadrilateral" comes from the Latin words "quadri," which means "four," and "latus," which means "side."

Since quadrilateral CDEF is similar to quadrilateral GHIJ, the corresponding sides are proportional.

Let x be the length of side JG. Then we have:

JG/DE = HI/CF

Substituting the given values, we get:

x/57.5 = 40/20

Simplifying, we get:

x = (57.5 * 40)/20 = 115

Therefore, the measure of side JG is approximately 115 units.

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Answer:

7.62

Step-by-step explanation:

To calculate the distance we can set up a right triangle and use the pythagorean theorem to calculate the distance.

A^2 + B^2 = C^2

Keep in mind that the A and B in this theorem (and my proceeding work) does not correlate to the labels for the points in the problem and are the standard variables used in the theorem.

First lets find the lengths of the sides A and B of our triangle by determing the distance on each axis that seperates the points.

On the x-axis we have

A = 5 - 2

A = 3

The y-axis has

B = 4 - (-3)

B = 7

Plugging these values into the equation from earlier we get:

3^2 + 7^2 = C^2
Where C is the hypotenuse of the right triangle we have created, and the distance between the two points.

9+49 = C^2

sqrt(58) = C

7.615773106 = C

Rounded the the nearest hundredth:

C = 7.62

Answer:

6x+4y-13=0

Step-by-step explanation:

Answer:

5.23 × 10 ^7

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the  10  If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

The surface area of a square pyramid is 27.

The lateral and surface area of a square pyramid with a base edge of 3 units.

The lateral area of a square pyramid can be calculated using the formula: Lateral Area = 2 × base edge × slant height.

Let's denote the original base edge as "b" and the original slant height as "s".

The lateral areas of the pyramid for slant heights of 1,3, and 9 units.

The surface area of a square pyramid (A) = 1 * 3 * 9 = 27.

Therefore, the surface area of a square pyramid is 27.

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a) The interest on the loan using exact interest and ordinary interest is as follows:

b) The difference between exact interest and ordinary interest amounts is d. $10.38.

Exact Interest is interest based on a period of 365 days.

Ordinary interest is interest based on a period of 360 days.

Loan amount = $35,000

Loan period = August 6 to December 14 (130 days)

Interest rate = 6%

Interest = $35,000 x 6% x 130/365

= $747.95

Interest = $35,000 x 6% x 130/360

= $758.33

Difference = $10.38 ($758.33 - $747.95)

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Answer:

104.5

Step-by-step explanation:

10% of 95 is 9.5 and if you add that to the original value you get the answer

Answer:

95, percentage increased by 10% (percent) of its value = 104.5

Two squares are chosen at random on a chessboard. The probability that they have a side in common is 1/18. Which is an option (C).

A chessboard is an 8x8 checkerboard with 64 squares of alternating colors, which are typically black and white, or dark and light-colored.

The board has eight horizontal ranks and eight vertical files. Chess pieces are placed on the chessboard, and their movements across the board are controlled by the rules of the game.

A chessboard has 8 rows and 8 columns, making a total of 64 squares. The total number of ways to choose two squares is \(64\choose2\) = 2016.

There are two ways that two squares can have a side in common: they can be in the same row or the same column. If they are in the same row, there are 8 rows and 7 ways to choose two adjacent squares in each row, for a total of 8 * 7 = 56 ways. If they are in the same column, there are also 56 ways.

So the total number of ways to choose two squares with a side in common is 56 + 56 = 112.

Therefore, the probability that two randomly chosen squares have a side in common is 112/2016 = 1/18. Hence, the correct option is (C).

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In the case of the electronic chess game, with a useful life that follows an exponential distribution with a mean of 30 months, we need to determine the length of service time after which the percentage of failed units will approximately equal 50 percent. The options provided are 9 months, 16 months, 21 months, and 25 months.

For the major television manufacturer, the service life of its 50-inch LED televisions follows a normal distribution with a mean of six years and a standard deviation of half a year. We are asked to calculate the probability of service lives of at least five years.

1. Electronic Chess Game:

The exponential distribution is characterized by a constant hazard rate, which implies that the percentage of failed units follows an exponential decay. The mean of 30 months indicates that after 30 months, approximately 63.2% of the units will have failed. To find the length of service time when the percentage of failed units reaches 50%, we can use the formula P(X > x) = e^(-λx), where λ is the failure rate. Setting this probability to 50%, we solve for x: e^(-λx) = 0.5. Since the mean (30 months) is equal to 1/λ, we can substitute it into the equation: e^(-x/30) = 0.5. Solving for x, we find x ≈ 21 months. Therefore, the length of service time after which the percentage of failed units will approximately equal 50 percent is 21 months.

2. LED Televisions:

The service life of 50-inch LED televisions follows a normal distribution with a mean of six years and a standard deviation of half a year. To find the probability of service lives of at least five years, we need to calculate the area under the normal curve to the right of five years (60 months). We can standardize the value using the formula z = (x - μ) / σ, where x is the desired value, μ is the mean, and σ is the standard deviation. Substituting the values, we have z = (60 - 72) / 0.5 = -24. Plugging this value into a standard normal distribution table or using a calculator, we find that the probability of a service life of at least five years is approximately 1.0000 (or 100% with four digits after the decimal point).

Therefore, the probability of service lives of at least five years for 50-inch LED televisions is 1.0000 (or 100%).

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The events are mutually exclusive events, so P(A|B) is 0.

In this question,

If two events are mutually exclusive, there is no chance that both events will occur. Being the intersection an operation whose result is made up of the non-repeated and common events of two or more sets, that is, given two events A and B, their intersection is made up of the elementary events that they have in common, then

⇒ A ∩ B = 0

Now the conditional probability, P(A|B) = \(\frac{P(A \cap B )}{P(B)}\)

⇒ \(\frac{0}{0.10}\)

⇒ 0.

Hence we can conclude that the events are mutually exclusive events, so P(A|B) is 0.

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