Management estimates that 5% of credit sales are eventually uncollectible. Of the collectible credit sales, 65% are likely to be collected in the month of sale and the remainder in the month following the month of sale. The company desires to begin each month with an inventory equal to 70% of the sales projected for the month. All purchases of inventory are on open account; 30% will be paid in the month of purchase, and the remainder paid in the month following the month of purchase. Purchase costs are approximately 60% of the selling prices. Budgeted January cash payments for December inventory purchases by Collection Corporation are:

Answer:

The value of A is 34 degrees angles on the right angle triangle are equal to 180 degrees

This group is isomorphic to the group of invertible matrices GL(n) if the vector space has finite dimension n.

Matrices are rectangular arrays of numbers or other mathematical objects, such as complex numbers, polynomials, or functions. Matrices are an important tool in many branches of mathematics, including linear algebra, calculus, and statistics. A matrix is usually written with square brackets enclosing its elements, with rows and columns separated by commas or spaces.

by the question.

Yes, you are correct! The set of all n x n matrices with entries in a field (such as the real numbers) is a group under addition, known as the general linear group GL(n), where the operation is matrix addition. This group satisfies the four group axioms:

Closure: The sum of two matrices is also a matrix.

Associativity: Matrix addition is associative.

Identity: The zero matrix is the identity element of GL(n).

Inverse: For every matrix A in GL(n), there exists a matrix -A such that A + (-A) = 0.

However, the set of all n x n matrices with entries in a field is not a group under multiplication because matrix multiplication is not always commutative and not every matrix has an inverse with respect to matrix multiplication.

On the other hand, the set of invertible n x n matrices, denoted by GL(n) or GL (n, F) when the field is specified, does form a group under matrix multiplication. The group axioms are satisfied:

Closure: The product of two invertible matrices is invertible.

Associativity: Matrix multiplication is associative.

Identity: The identity matrix I_n is the identity element of GL(n).

Inverse: For every invertible matrix A in GL(n), there exists an inverse matrix A^-1 such that A * A^-1 = I_n.

Similarly, the set of invertible linear transformations of a vector space into itself forms a group under composition of functions, known as the general linear group GL(V) of the vector space V.

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When a quantity increases by 25%, the new quantity becomes 100% + 25% = 125% of the original quantity.

After the first year, the quantity has increased to 125% of its original value. After the second year, it increases an additional 25%, making the new value 125% + (25% of 125%) = 156.25% of the original value. Finally, after the third year, it increases by another 25%, making the new value 156.25% + (25% of 156.25%) = 195.3125% of the original value.

So the quantity has increased by 195.3125% - 100% = 95.3125% over the three-year period. Therefore, the combined percentage growth p over the three-year period is 95.3125%.

, [tex]\frac{-21 \pi}{8}[/tex] lies in 3rd quadrant, ,[tex]\frac{-5 \pi }{9}[/tex] lies in 3rd quadrant,t, [tex]\frac{5 \pi}{6}[/tex]  radian lies in 2nd quadrant and [tex]\frac{35 \pi}{4}[/tex] lies in 1st quadrant.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

To determine the quadrant in which the angle -21π/8 lies

Convert, [tex]\frac{-21 \pi}{8}[/tex]  to number

-21×180/8

-472.5 degrees lies in which quadrant we have to check.

The value is negative

Quadrant IV =  0 to -90°

Quadrant III = -90° to -180°

Quadrant II  = -180° to -270°

Quadrant I   = -270° to -360°

-21π/8 lies in 3rd quadrant

-5π/9=-100 which lies in 3rd quadrant

5π/6=150 which is positive so it lies in 2nd quadrant

35π÷4=1575 which is positive so it lies in 1st quadrant

Hence, [tex]\frac{-21 \pi}{8}[/tex]  lies in 3rd quadrant,[tex]\frac{-5 \pi }{9}[/tex]lies in the 3rd quadrant, [tex]\frac{5 \pi}{6}[/tex] lies in 2nd quadrant and [tex]\frac{35 \pi}{4}[/tex] lies in  1st quadrant.

The complete question is-

In what quadrant does the terminal ray of the angle lie?

Select Quadrant I, Quadrant II, Quadrant ​III​, or Quadrant IV.

Angle measure Quadrant I Quadrant II Quadrant ​III​ Quadrant IV

−21π8

Quadrant , I – negative fraction numerator 21 pi over denominator 8 end fraction

Quadrant , I I – negative fraction numerator 21 pi over denominator 8 end fraction

Quadrant , ​, I I I, ​ – negative fraction numerator 21 pi over denominator 8 end fraction

Quadrant , I V – negative fraction numerator 21 pi over denominator 8 end fraction

−5π9

Quadrant , I – negative fraction numerator 5 pi over denominator 9 end fraction

Quadrant , I I – negative fraction numerator 5 pi over denominator 9 end fraction

Quadrant , ​, I I I, ​ – negative fraction numerator 5 pi over denominator 9 end fraction

Quadrant , I V – negative fraction numerator 5 pi over denominator 9 end fraction

5π6

Quadrant , I – fraction numerator 5 pi over denominator 6 end fraction

Quadrant , I I – fraction numerator 5 pi over denominator 6 end fraction

Quadrant , ​, I I I, ​ – fraction numerator 5 pi over denominator 6 end fraction

Quadrant , I V – fraction numerator 5 pi over denominator 6 end fraction

35π4

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Answer:

Step-by-step explanation:

The center of the circle is the midpoint of the diameter. To find the midpoint, we use the midpoint formula:

Midpoint = [(x1 + x2)/2, (y1 + y2)/2]

where (x1, y1) and (x2, y2) are the coordinates of the endpoints of the diameter.

Midpoint = [(3 + (-2))/2, (1 + 3)/2]

Midpoint = [1/2, 2]

So, the center of the circle is (1/2, 2).

The radius of the circle is half the length of the diameter. To find the length of the diameter, we use the distance formula:

Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

where (x1, y1) and (x2, y2) are the coordinates of the endpoints of the diameter.

Distance = sqrt((-2 - 3)^2 + (3 - 1)^2)

Distance = sqrt(25 + 4)

Distance = sqrt(29)

So, the length of the diameter is sqrt(29).

The radius of the circle is half of sqrt(29), which is sqrt(29)/2.

Therefore, the equation of the circle is:

(x - 1/2)^2 + (y - 2)^2 = (sqrt(29)/2)^2

Simplifying this equation, we get:

(x - 1/2)^2 + (y - 2)^2 = 29/4

So, the equation of the circle with a diameter whose endpoints are (3, 1) and (-2, 3) is (x - 1/2)^2 + (y - 2)^2 = 29/4.

Answer: 811 adult tickets and 868 child tickets

Step-by-step explanation:

35x +20y = 44,620

add 35+20

divide the sum by 44,620 and

the answer

Answer:

18. 10 women, 8 blondes. the 3 blonde women have already fallen into the previous categories.

Answer:

77.7

Step-by-step explanation:

if you know, you know. laso make sure your calculator is on degrees and not radians

The angle congruent to angle FYE is angle EYD.

A line known as a bisector splits an angle or a line into two equally sized segments. A segment's midpoint is always contained in the segment's bisector. Based on the geometric shape that they bisect, there are two different sorts of bisectors. An angle is divided into equal angles by an angle bisector. The line segment is split into two equal halves by a line segment bisector. It travels through the line segment's centre.

Given that, YE bisects the angle FYD.

That is, the segment YE divides the angle FYD into two equal parts.

Thus, the angle congruent to angle FYE is angle EYD.

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The volume of the composite figure is 837.33 cubic units.

The area or capacity of a cone is determined by its volume. A cone's circular base tapers from a flat base to a point known as the apex or vertex in three dimensions. A cone is made up of a collection of line segments, half-lines, or lines that link the apex—the common point—to each point on the base, which is on a plane without the apex. A cone may be thought of as a collection of irregularly shaped circular discs placed on top of one another with the ratio of their radii remaining constant.

The volume of any composite figure is the addition of the volume of all the shapes present in the figure.

Here, the composite solid is made of 2 cones and a cylinder.

The volume of cone is:

V = 1/3(πr²h)

For cone with height 12 and r= 4:

V = 1/3(π)(4)²(12)

V = 200.96 cubic units.

For cone with h = 8 and r = 4:

V = 1/3(π)(4)²(8)

V = 133.97

The volume of cylinder is:

V = πr²h

V = (3.14)(4)²(10)

V = 502.4 cubic units.

The volume of the composite solid is:

Total volume = 200.96 + 133.97 + 502.4

Total volume = 837.33 cubic units.

Hence, the volume of the composite figure is 837.33 cubic units.

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The area of enclosed region as a function of x is A(x) = 8x^2/3 + (200/3)x - 2x. Using a table, the estimated dimensions that produce maximum area are longer side x = 12 and shorter side y = 17.3 m. Using a graph, the estimated dimensions that produce maximum area are longer side 2x = 25 m and shorter side y = 16.7 m. The dimensions for an enclosed area of 336 square meters are smaller value of x: longer side y = 23.3 m, shorter side 2x = 15 x m and larger value of x: longer side 2x = 35 m, shorter side y = 10 x m.

The area of the enclosed region can be written as a function of x as follows.

A(x) = 2xy

Substituting y = (100 - 4x)/3, we get

A(x) = 2x(100 - 4x)/3 = (200x - 8x^2)/3 = 66.7x - 2.67x^2

Using a graphing utility, we can generate additional rows of the table as follows.

xy Area

2    92 368

3    122.7 367.1

4     128 512

5     116.7 583.3

6     100.7 604.2

7     80.0 560.0

8     65.3 522.7

9     56.0 504.0

10    51.3 513.0

11     51.0 561.0

12    54.7 656.7

13     62.0 806.2

14     72.7 1003.3

From the table, we can see that the maximum area occurs when x = 12 and y = 17.3.

The graph of the area function is shown.

From the graph, we can estimate that the dimensions that will produce a maximum area are x ≈ 12.5 and y ≈ 16.7.

From the graph, we can estimate that the smaller value of x for an area of 336 square meters is x ≈ 7.5 and the larger value of x is x ≈ 17.5. Substituting these values in the equation for y, we get:

For the smaller value of x:

y = (100 - 4(7.5))/3 ≈ 23.3

So, the required dimensions are longer side = 15 m and shorter side = 2(7.5) = 15 m.

For the larger value of x:

y = (100 - 4(17.5))/3 ≈ 10.0

So, the required dimensions are longer side = 2(17.5) = 35 m and shorter side = 10 m.

To find the required dimensions algebraically, we need to solve the equation A(x) = 336. We already have the expression for A(x) as:

A(x) = 8x(50 - 4x)

Substituting 336 for A(x), we get:

8x(50 - 4x) = 336

Dividing both sides by 8, we get:

x(50 - 4x) = 42

Expanding the left side, we get:

50x - 4x^2 = 42

Rearranging and simplifying, we get a quadratic equation:

4x^2 - 50x + 42 = 0

We can solve this quadratic equation using the quadratic formula:

x = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 4, b = -50, and c = 42.

Substituting these values, we get:

x = (50 ± sqrt(50^2 - 4(4)(42))) / 2(4)

Simplifying, we get:

x = (50 ± sqrt(196)) / 8

x = (50 ± 14) / 8

So, the two possible values of x are:

x = 7 or x = 1.25

For x = 7, the corresponding dimensions are:

longer side 2x = 14 m

shorter side y = (50 - 4x) = 22 m

For x = 1.25, the corresponding dimensions are:

longer side 2x = 2.5 m

shorter side y = (50 - 4x) = 32.5 m

Therefore, the required dimensions for an enclosed area of 336 square meters are:

Smaller value of x: longer side 2x = 2.5 m, shorter side y = 32.5 m

Larger value of x: longer side 2x = 14 m, shorter side y = 22 m

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If a 5-year swap contract can be viewed as a portfolio of 5 forward contracts with maturities of 1, 2, 3, 4 and 5 years. One important exception is option (a) the forward price is the same for the swap contract but not for the forward contracts

In a swap contract, the fixed rate is agreed upon at the beginning of the contract, and the floating rate is determined by a reference rate such as LIBOR. The swap contract's value is based on the difference between the fixed and floating rates at each settlement date. In contrast, forward contracts involve an agreement to buy or sell an asset at a specified price on a specific future date. The forward price is determined at the time the contract is entered into and is based on the spot price of the underlying asset, the time to maturity of the contract, and the cost of carry.

Therefore, the forward price will be different for each forward contract in the swap portfolio, whereas the forward price for the swap contract will be the same throughout the contract's life. The other options mentioned are not true for swap or forward contracts.

Therefore, the correct option is (a) the forward price is the same for the swap contract but not for the forward contracts

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The area of the surface obtained by rotating the curve about the x-axis.

y = X²⁾⁴- ln x is 2.8.

The area of ​​a sphere is defined as the area covered by its outer surface in three-dimensional space. A sphere is a three-dimensional solid that is circular in shape, like a circle.

Based on the Question:

Knowing the area of ​​a solid obtained by rotating a curve governed by the function f(x) around the y-axis, where a ≤ x ≤ b, is represented by a single integral given below:

Surface Area = [tex]2\pi \int\limits^b_a {f(x)\sqrt{1+f(x')^2} } \, dx[/tex]

Consider the curve equation y(x) where 1 ≤ x ≤ 2 is shown below.

        [tex]y(x) = \frac{x^2}{4} -\frac{ln x}{2}[/tex]

Now,

Derivations the above equation:

   [tex]y'(x) =\frac{d}{dx} {\frac{x^2}{4} -\frac{ln x}{2} }[/tex]

⇒ [tex]y'(x)=\frac{x}{2} -\frac{1}{2x}[/tex]

⇒ [tex]y'(x) = \frac{x^2-1}{2x}[/tex]

Calculate the numerical value of the obtained area value to obtain the desired result.

Surface area = 5.30144 - 2.55493

                      = 2.74651 ≈ 2.8

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Step-by-step explanation:

Mean is the average of all of the scores (26 of them)

  Mean =    (3x6 + 4x3 +5x1 + 6x2 + 7x0 + 8x5 +9x5 + 10x4) / 26 = 6.6

 Median is the score in the middle of all of the scores arranged in ascending order ( or the average of the middle two if there is an even number (26) of scores )

333333 444 5 66 88 888 99999 10 10 10 10       Median = 8

Mode is the score with the highest frequency  = 3  (there are 6 of them)

ii)  3/4 of the students would be   3/4 x 26 = 19.5 students ~ 20 students

      this would mean the average the teacher is talking about is '3'  (the 'mode')  since 20 students scored above '3'   ( 3+1+2 +0+5+5+4 = 20)

Answer:

ion kno but good luck

Step-by-step explanation:

Answer: 6234 × 32 = 199488.

Step by step:

To calculate 6234 × 32 without using a calculator, you can use the traditional multiplication method as follows:

   6234

x    32

-------

  12468   (2 x 6234)

+ 62340   (3 x 6234 with a zero added)

--------

 199488

Answer:

Based on the given information, we know that:

g(n) = 80 - 4g(n-1)

Also, we have the initial condition:

g(1) = g(n) = g(n-1)

Putting everything together, we can write the recursive formula for g(n) as follows:

g(1) = g(n) = g(n-1) (initial condition)

g(n) = 80 - 4g(n-1) (recursive formula)

where n > 1.

(please mark my answer as brainliest)

Answer: 37.5

Step-by-step explanation:

75 - 180 = 105

105 degrees = the obtuse angle, bottom triangle.

75/2= 37.5 (since both sides of the bottom triangle are equal angles)

Answer:

father age 45 son age 0 this is answer

The result of the formula  [tex]12 - 3y2 + (v=4) / (2y - 2)[/tex] for y = 3 is  [tex]-29/2[/tex]  .

When [tex]y = 3[/tex] is used, the value of the expression [tex]12 - 3y2 + (v=4) / (2y - 2)[/tex]  has a value of  [tex]-29/2[/tex] .

To analyse an algebraic expression is to determine its value when a certain number is used in lieu of the variable. To evaluate the expression, we first replace the variable with the given number, then we use the order of operations to simplify the expression.

If  [tex]y = 3[/tex] , we can insert it into the expression & simplify as follows to evaluate   [tex]12 - 3y2 + (v=4) / (2y - 2)[/tex] for  [tex]y = 3[/tex]  .

[tex]12 - 3(3)^2 + (√4) / (2(3) - 2)[/tex] (y = 3 replacement)

[tex]12 - 27 + 2 / 4\s-15 + 1/2\s-29/2[/tex]

Therefore, The result of the formula  [tex]12 - 3y2 + (v=4) / (2y - 2)[/tex] for y = 3 is  [tex]-29/2[/tex]  .

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Answer:

The answer is 2.45 litres in one week.

Answer:

2.45 liters

Step-by-step explanation:

1 days - 350 ml of Milk

We know that, there are 7 days per week.

Therefore,

To find the milliliters of milk that she drinks in a week,

multiply milliliters of milk she drinks for a day by 7 ( number of days in a week).

Let us find it now.

350 ml × 7 = 2450 ml

And now to convert your answer into litres divide it by 1000.

2450ml ÷ 1000 = 2.45 liters

The expected value of a total of all 10 cards is 65.38 when the five players are dealt with 2 cards each without replacement.

The expected value of the sum of all 10 cards dealt without replacement can be calculated by multiplying the expected value of a single card by 10.

The expected value of a single card can be calculated by adding up all possible outcomes (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K) and dividing by the total number of cards in a deck (52).

= 52/13

This gives us an expected value of 6.5381.

Therefore, the expected value of the sum of all 10 cards is 65.38

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Complete question is:

Five players are each dealt 2 cards without replacement.

What is the expected value of the sum of all 10 cards?

Answer:

the answer would be 100 I guess

For Gasoline Expense, the account number may be something like 4540 (4 for expenses, 5 for operating expenses, and 40 for the specific account number). For Water Expense, the account number may be something like 4550 (4 for expenses, 5 for utility expenses, and 50 for the specific account number

How to assign account number?

To add new accounts to the chart of accounts, Mr. Ross should first determine the account type and the appropriate category. In this case, Gasoline Expense would be classified as an operating expense account, while Water Expense would be classified as a utility expense account.

Once the account types have been identified, Mr. Ross should then determine the account number for each account. The account numbering system may vary depending on the accounting system in use, but generally, account numbers are structured hierarchically based on the account category and type.

For example, if the account numbering system uses a four-digit code, the first digit may represent the account category (e.g., 1 for assets, 2 for liabilities, 3 for equity, 4 for revenues, and 5 for expenses), the second digit may represent the specific account type (e.g., 4 for operating expenses and 5 for utility expenses), and the last two digits may be assigned sequentially to each account within that category and type.

So, for Gasoline Expense, the account number may be something like 4540 (4 for expenses, 5 for operating expenses, and 40 for the specific account number). For Water Expense, the account number may be something like 4550 (4 for expenses, 5 for utility expenses, and 50 for the specific account number).

However, the specific account numbering system used may vary depending on the accounting system in use, so Mr. Ross should consult with his accountant or accounting software provider for guidance on how to properly create and assign account numbers in his specific system.

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The policies listed in the "Policies to Keep" column are beneficial to Jack as they help to reduce the risk of fraud, financial loss, and mismanagement of resources. They also serve to ensure that the business is operating in a compliant and legal manner. Additionally, these policies can help to ensure that the organization is operating efficiently and in an ethical manner.

If a flood occurs, there is a 72.7%  probability that it rains non-stop in December of that year

What is probability ?

Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain to occur. Probabilities between 0 and 1 indicate the likelihood of an event occurring, with smaller values indicating lower likelihoods and larger values indicating higher likelihoods.

Probabilities can be determined using mathematical formulas, statistical analysis, and empirical data. They are used in a wide range of fields, including mathematics, science, economics, and social sciences, to make predictions and inform decision-making.

According to the question:
Let's use the following notation:

NR: Non-stop rain

F: Flood

We want to find the conditional probability of NR given that F occurred, or P(NR|F). We can use Bayes' theorem to find this probability:

P(NR|F) = P(F|NR) * P(NR) / P(F)

We know that 50% of the rainy days are non-stop rain, so P(NR) = 0.5. We also know that if there is non-stop rain, 80% will flood, so:

P(F|NR) = 0.8

If there is no non-stop rain, 30% flooding will occur, so:

P(F|~NR) = 0.3

We can use the law of total probability to find P(F), which is the probability of flooding occurring:

P(F) = P(F|NR) * P(NR) + P(F|~NR) * P(~NR)

P(~NR) = 1 - P(NR) = 0.5

P(F) = 0.8 * 0.5 + 0.3 * 0.5 = 0.55

Now we can plug in all the values to find P(NR|F):

P(NR|F) = P(F|NR) * P(NR) / P(F)

P(NR|F) = 0.8 * 0.5 / 0.55 = 0.727 or 72.7% (rounded to one decimal place)

Therefore, if a flood occurs, there is a 72.7% chance that it rains non-stop in December of that year.

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Answer:

19782m

Step-by-step explanation:

1  revolution = circumference

circumference = π * diameter

π = 3.1416

Then

circumference = 3.1416 * 63

= 197.92m

1 revolution = 197.82m

100 revolutions = 100*197.82m

= 19782m

Answer:

19.8 km

Step-by-step explanation:

To find:-

Answer:-

We are here given that,

We can first find the circumference of the wheel using the formula,

[tex]:\implies \sf C = 2\pi r \\[/tex]

Here radius will be 63/2 as radius is half of diameter. So on substituting the respective values, we have;

[tex]:\implies \sf C = 2\times \dfrac{22}{7}\times \dfrac{63}{2} \ m \\[/tex]

[tex]:\implies \sf C = 198\ m \\[/tex]

Now in one revolution , the cycle will cover a distance of 198m . So in 100 revolutions it will cover,

[tex]:\implies \sf Distance= 198(100)m\\[/tex]

[tex]:\implies \sf Distance = 19800 m \\[/tex]

[tex]:\implies \sf Distance = 19.8 \ km\\[/tex]

Hence the bicycle would cover 19.8 km in 100 revolutions.

Your question is incomplete. The complete question is: Consider the following algebraic statements and determine the values of x for which each statement is true. On a number line, show the set of all points corresponding to the values of x.

|x| = 7

4=|-2x|

The values of x for which each statement is true are:

|x| = 7: x = -7 or x = 7

4 = |-2x|: x = -2    or x = 2

a) |x| = 7

-x = 7 or x = 7

x = -7 or x = 7

This statement is true for two values of x:

x = -7 and x = 7.

b) 4 = |-2x|

4 = -2x or 4 = 2x

x = -2    or x = 2

This statement is true for two values of x:

x = -2 and x = 2.

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Answer:

Step-by-step explanation:

Assuming you mean [tex]9a^2[/tex]:

   Multiply nine by a squared.

OR

   Times nine by a squared.

If you mean 9a^2:

Multiply nine by a number squared

or

Multiply a number squared by nine

Answer:

x = 52.2

Step-by-step explanation:

Add 4x - 4y^2 = 36 and x + 2y^2 = 225

x + 2y^2 + 4x - 4y^2 = 225 + 36

5x = 261

x = 261/5=52.2