On May 18 th Curly Jackson Company suffered a loss in its warehouse and has asked you to help them in determining the amount of inventory that was lost in the fire for insurance purposes. The following data was salvaged from the accounting records: CJ Company has a normal gross profit percentage of 25%. Beginning Inventory for the month of May was $120,000, purchases so far for the month totaled $300,000 and sales for May prior to the fire were $440,000. Some of the inventory was not damaged in the fire, the inventory not damaged in the fire had a selling price of $40,000. Calculate the amount of inventory that was lost in the fire, show all calculations.

Total length = 14h + 14b + 42

Total length (h) = 2h . 7

Total length (h) = 14h

Total length (b) = 2(b + (b + 1) + (b + 2) + ... + (b + 6))

Total length (b) = 2(7b + (1 + 2 + ... + 6))

Total length (b) = 2(7b + 21)

Total length (b) = 14b + 42

Total length = total length (h) + total length (b)

Total length = 14h + 14b + 42

Total length = 14h + 14b + 42

Using the formula of the area of the circle, we know that the base area of the barrel is 3.14 ft² respectively.

All points in a plane that are at a specific distance from a specific point, the center, form a circle.

In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.

In the center of a circle, equal chords subtend equal angles.

The chord is divided in half by the radius drawn perpendicular to it.

Different-sized circles are comparable.

Rectangles, trapezoids, triangles, squares, and kites can all be encircled by circles.

So, the area of the base of the barrel would be taken out by the formula of the circle:

Radius = 2/2

Radius = 1ft

Now, area:
= πr²

= π1²

= π1

= 3.14*1

= 3.14 ft²

Therefore, using the formula of the area of the circle, we know that the base area of the barrel is 3.14 ft² respectively.

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Given that profits decrease by 13.8% when the degree of operating leverage (DOL) is 3.8.

The decrease in sales is: We have to determine the percentage decrease in sales Let the percentage decrease in sales be x.

Degree of Operating Leverage (DOL) = % change in Profit / % change in Sales3.8

= -13.8% / x Thus, we have: x

= -13.8% / 3.8

= -3.63%Therefore, the decrease in sales is 3.63%.Hence, the correct option is C) 3.63%. Percentage decrease in sales = % change in profit / degree of operating leverage

= 13.8 / 3.8

= 3.63% The percentage decrease in sales is 3.63%.

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Answer:

The value of side b is 24.

Step-by-step explanation:

To obtain the value of side b using the Pythagorean theorem, we have the following information:a = 7 (length of side a)

c = 25 (length of the hypotenuse, side c)

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b). Mathematically, it can be written as:

a² + b² = c²

Substituting the given values:

7² + b²= 25^249 + b² = 625

To isolate b², we can subtract 49 from both sides:

b² = 625 - 49b² = 576

Taking the square root of both sides to solve for b:

b = √576

b = 24

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Answer:

40 m²

Step-by-step explanation:

First, find the perimeter. Using the perimeter formula, p = 2l + 2w, solve for the side lengths of the length and width.

Let w represent the width. The length can be represented by w + 3, since the length is 3 m longer than the width.

Plug in 26 as the perimeter, and plug in w and w + 3 for the width and length:

p = 2l + 2w

26 = 2(w + 3) + 2w

Simplify and solve for w:

26 = 2w + 6 + 2w

26 = 4w + 6

20 = 4w

5 = w

Find the length by adding 3 to this:

5 + 3

= 8

Now, find the area using the area formula, A = lw

Plug in the length and width:

A = lw

A = 8(5)

A = 40

So, the area of the rectangle is 40 m²

Answer:

Step-by-step explanation:

if Charles bought the sneakers for 6.30 and wants to re-sell them with 40% more,

first lets see how much is 40% of 6.30

(6.30*40)/100=2.52

he will resell the shoes with

6.30+2.52=8.82

Answer:

$\(8.82\)

Step-by-step explanation:

\(6.30 + 0.4\times6.30 = 8.82\)

\(\therefore\) Charles will sell the sneakers at a price of $\(8.82\)

Hope this helps :)

The price x which will maximize the company's revenue is 904

The price x which will maximize the company's revenue is 240

Let

Price of the good = x

Number of goods sold = 2712- 3x

The formula for revenue is given as;

Revenue = Price × Quantity

= x( 2712 - 3x)

Expand the bracket

2712x - 3x^2

Therefore, the price x which will maximize the company's revenue will be:

2712x - 3x^2 =0

Collect like terms

3x² = 2712x

3x =  2712

Divide both side by 3

3x/3 = 2712/3

x = 904

Hence, the price x which will maximize the company's revenue is 904

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The factor that provides the basis for the grading of newly diagnosed malignant tumours is degree of differentiation.

The level of differentiation impacts an individual's capacity to control their emotions, thoughts, individuality, and connections to others. The degree of any differential equation can be obtained when it is expressed as a polynomial; otherwise, the degree cannot be defined.

The mechanisms by which immature cells develop into mature cells with particular roles are described in biology. This indicates the degree to which tumour tissue resembles the healthy tissue from which it originated in the context of cancer. Compared to poorly or undifferentiated cancer cells, well-differentiated cancer cells resemble normal cells more and grow and spread more slowly. Tumour grading systems, which vary for each form of cancer, use differentiation.

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The probability that the mean number of raisins in a sample of 17 randomly selected Happy Trail Mix bags is more than the mean number of raisins in a sample of 17 randomly selected generic trail mix bags is approximately 0.954, or 95.4%.

To solve this problem, we can use the Central Limit Theorem, which states that the distribution of sample means tends to be approximately normal, regardless of the shape of the population distribution, when the sample size is sufficiently large. In this case, we have a sample size of 17 for both the Happy Trail Mix and the generic trail mix.

We can calculate the mean and standard deviation of the sampling distribution of the mean for each trail mix. The mean of the sampling distribution for the Happy Trail Mix is equal to the population mean, which is 33.6, while the mean of the sampling distribution for the generic trail mix is equal to the population mean, which is 28.8.

The standard deviation of the sampling distribution for the Happy Trail Mix is equal to the population standard deviation divided by the square root of the sample size, which is 8.4 divided by the square root of 17. Similarly, the standard deviation of the sampling distribution for the generic trail mix is equal to 12.7 divided by the square root of 17.

To find the probability that the mean number of raisins in the Happy Trail Mix is more than the mean number of raisins in the generic mix, we can calculate the z-score using the formula: z = (sample mean of Happy Trail Mix - sample mean of generic mix) / (standard deviation of Happy Trail Mix - standard deviation of generic mix).

Once we calculate the z-score, we can then look up the corresponding probability using a standard normal distribution table or calculator. In this case, the calculated z-score corresponds to a probability of approximately 0.954, or 95.4%.

Therefore, the probability that the mean number of raisins in a sample of 17 randomly selected Happy Trail Mix bags is more than the mean number of raisins in a sample of 17 randomly selected generic trail mix bags is approximately 0.954, or 95.4%.

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For the given equation, values to get equal the value of w equals \(\frac{7}{16}\).

Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.

The three primary forms of linear equations are point-slope, standard, and slope-intercept.

A simple equation is a mathematical formula that expresses the relationship between two expressions on both sides of the "equal to" sign.

These equations contain a variable, which is frequently written as x or y. It is frequently necessary to rearrange simple equations in order to solve them.

Given, the equation is

\(2 \frac{2}{3} w = 1 \frac{1}{6}\)

Simplifying the equation,

\(\frac{8}{3}w = \frac{7}{6}\)

\(w = \frac{7}{6} \times \frac{3}{8}\)

\(w = \frac{7}{16}\)

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Answer:

23) 53/100

24)2/5

25)3/5

26)11/50

27)17/50

28)19/1000

29)4/5

30)1/250

31)9/25

32)1 3/10

33)11 1/2

34) 7 3/40

Step-by-step explanation: Hope this helps!

Answer:

Step-by-step explanation:

Midpoint formula:

Substituting values:

Missing endpoint is:

Answer:

The supply will be greater than the demand.

Step-by-step explanation:

Answer:

y = -2x + 2

Step-by-step explanation:

(-4-8)/(3-(-3)) = -12/6 = -2

-4 = -2(3) + b

-4 = -6 + b

b = 2

Answer:

Step-by-step explanation:

The statement that best compares the theoretical and experimental probability of landing on blue is:

The theoretical probability of landing on blue is one fourth, and the experimental probability is 35%.

Theoretical probability is the probability of an event occurring based on the assumption that the spinner is fair, and the experimental probability is the probability of an event occurring based on the data collected from the spins.

Since the spinner has four equal sections, the theoretical probability of landing on any section is 1/4 or 25%. Therefore, the theoretical probability of landing on blue is 1/4 or 25%.

On the other hand, the experimental probability is the number of times an event occurs, divided by the total number of trials.

In this case, the experimental probability of landing on blue is 7/20 or 35%.

So the theoretical probability of landing on blue is one fourth or 25% and the experimental probability is 35%.

Answer:

The dishwasher will use 80 gallons of water to wash 10 loads of dishes.

Step-by-step explanation:

Given,

Water used for 4 loads of dishes = 32 gallons

Ratio of water used to load of dishes = 32:4

Let,

x represents the gallons of water required for 10 loads of dishes.

Ratio of water used to load of dishes = x:10

Using proportion

Ratio of water used to load of dishes :: Ratio of water used to load of dishes

Product of mean = Product of extreme

Dividing both sides by 4

The dishwasher will use 80 gallons of water to wash 10 loads of dishes.

Answer: It would be 80 gallons of water that the dishwasher will use to wash 10 loads of dishes. To figure this out you would need to divide 32 by 4 which would equal 8. You would do this to figure out how many gallons of water a dishwasher needs to wash 1 load of dishes. Then you would multiply 8 times 10 which would equal 80.

Step-by-step explanation: hoped this helps thx for the points :D

Answer:

x=9

Step-by-step explanation:

180 =120+5x+15

60=5x+15

45=5x

9=x

The length οf tangent AD is 6x - 3.

In mathematics, geοmetry is the branch οf mathematics cοncerned with the study οf shapes, sizes, relative pοsitiοns οf οbjects, and the prοperties οf space. It includes tοpics such as pοints, lines, angles, planes, curves, and surfaces, amοng οthers.

In a circle, if a tangent and a secant are drawn frοm a pοint οutside the circle, then the length οf the tangent squared is equal tο the prοduct οf the secant's external part and the entire secant. Using this theοrem, we can find the length οf the tangent AD.

AB is the secant and AD is the external part, sο:

\(AD^2 = AB x (AB + BD)\)

We knοw that AB = 4x + 7, and BD = AD - AB = 6x - 3 - (4x + 7) = 2x - 10.

Substituting these values, we get:

\((6x - 3)^2 = (4x + 7) x (4x + 7 + 2x - 10)\)

Expanding and simplifying:

\(36x^2 - 36x + 9 = (6x - 3) x (6x - 3)\)

\(36x^2 - 36x + 9 = 36x^2 - 36x + 9\)

The equatiοn is true fοr all values οf x, sο AD = 6x - 3.

Therefοre, the length οf tangent AD is 6x - 3.

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Answer:

5

Step-by-step explanation:

Convert the element to fraction:

\(\frac{2}{1}\) / \(\frac{2}{5}\)

Switch the division to multipl:

2/1 * 2/5

Cross multiply:

2 is elimiated and 1 and 5 remain.

Answer is 1/5 which is 5.

Answer:

5

Step-by-step explanation:

2 ÷ 2/5

= 2 x 5/2

= 10/2

= 5

Answer:

idk good luck have a nice day

Answer:

6 miles

Step-by-step explanation:

To find the miles in an hour, we must found the unit rate. A fraction is a division problem, so we would set this up as a fraction. The numerator is the distance, and the denominator is the time it takes to travel the distance.

10.5/1.75=6

7.5/1.25=

4.5/0.75=

Answer:  6 miles

Step-by-step explanation:

Christy went jogging and covered 4.5 miles in 0.75 hr
and in 1.75 hr she covered 10.5
To find distance she covered in 1 hour = 10.5 - 4.5 (because 1.75 hr - 0.75 hr)

:)

Answer:

y=4x

Step-by-step explanation:

Answer:

12x-8+9x+8+12x-(-8)

33x+8

Step-by-step explanation:

Answer:

21/25 is greater than 8/10. so no they arent equal to each other

Answer:

No 8/10 is 0.8

21/25 is 0.84

there Is difference of 0.04

Answer:

Step-by-step explanation:

To find the surface area of a cylinder, we need to add the area of the circular bases to the lateral area (the curved surface).

The diameter of the cylinder is 9 inches, so the radius (r) is half of that, or 4.5 inches.

The height of the cylinder (h) is given as 15 inches.

The area of each circular base is πr^2. Therefore, the area of both bases is 2πr^2.

The lateral area of the cylinder is given by the formula 2πrh.

Substituting the values we have:

Area of both bases = 2πr^2 = 2π(4.5)^2 = 2π(20.25) = 40.5π

Lateral area = 2πrh = 2π(4.5)(15) = 135π

Total surface area = area of both bases + lateral area = 40.5π + 135π = 175.5π

Approximating π to 3.14, we get:

Total surface area = 175.5π ≈ 175.5(3.14) ≈ 551.07

Therefore, the surface area of the cylinder is approximately 551.07 square inches.

The length of the base of the triangle is 16 in.

To find the length of the base of the triangle, we can use the formula for the area of a triangle:

Area = (base× height) / 2

Given:

Area = 24 in²

Height = Base - 13 in

Substituting these values into the formula, we get:

24 = (base × (base - 13)) / 2

To solve for the base, we can rearrange the equation and solve the resulting quadratic equation:

48 = base² - 13base

Rearranging further:

base² - 13base - 48 = 0

Now we can factor the quadratic equation:

(base - 16)(base + 3) = 0

Setting each factor equal to zero and solving for the base:

base - 16 = 0

base = 16

base + 3 = 0

base = -3 (not a valid solution for length)

Therefore, the length of the base of the triangle is 16 in.

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The possible solution set for the system is (- 1, 4) and (4, - 1).

Given are the equations as -

x + y = 3

x² + y² = 17

Refer to the graph of the function attached. The points of intersection represents the possible solution set.

Therefore, the possible solution set for the system is (- 1, 4) and (4, - 1).

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