Waterways Corporation is preparing its budget for the coming year, 2022. The first step is to plan for the first quarter of that coming year. The company has gathered information from its managers in preparation of the budgeting process. Sales Unit sales for November 2021 112,000

Unit sales for December 2021 104,000

Expected unit sales for January 2022 113,000

Expected unit sales for February 2022 112,000

Expected unit sales for March 2022 116,000

Expected unit sales for April 2022 125,000

Expected unit sales for May 2022 138,000

Unit selling price $12

Waterways likes to keep 10% of the next month’s unit sales in ending inventory. All sales are on account. 85% of the Accounts Receivable are collected in the month of sale, and 15% of the Accounts Receivable are collected in the month after sale. Accounts receivable on December 31, 2021, totaled $187,200. Direct Materials

Direct materials cost 80 cents per pound. Two pounds of direct materials are required to produce each unit. Waterways likes to keep 5% of the materials needed for the next month in its ending inventory. Raw Materials on December 31, 2021 totaled 11,290 pounds. Payment for materials is made within 15 days. 50% is paid in the month of purchase, and 50% is paid in the month after purchase. Accounts Payable on December 31, 2021, totaled $120,595. Labor requires 12 minutes per unit for completion and is paid at a rate of $9 per hour. Manufacturing Overhead

Indirect materials

30¢ per labor hour

Indirect labor

50¢ per labor hour

Utilities

50¢

per labor hour

Maintenance

20¢

per labor hour

Salaries

$41,000 per month

Depreciation

$18,000 per month

Property taxes

$2,900 per month

Insurance

$1,200 per month

Maintenance

$1,300 per month

Selling and Administrative

Variable selling and administrative cost per unit is $1. 60. Advertising

$15,000 a month

Insurance

$1,400 a month

Salaries

$70,000 a month

Depreciation

$2,800 a month

Other fixed costs

$3,300 a month

Other Information

The Cash balance on December 31, 2021, totaled $99,000, but management has decided it would like to maintain a cash balance of at least $700,000 beginning on January 31, 2022. Dividends are paid each month at the rate of $2. 70 per share for 4,610 shares outstanding. The company has an open line of credit with Romney’s Bank. The terms of the agreement requires borrowing to be in $1,000 increments at 9% interest. Waterways borrows on the first day of the month and repays on the last day of the month. A $480,000 equipment purchase is planned for February

Answer: I think the answer is A (4,6)

Step-by-step explanation:

Because point B is translated up you have to move the whole shape and pint D would end up at (4,6)

If a line's angle with the x-axis is then, that line's slope will be tanα, and the new road's slope will be tan(0) = 0.

D Street is depicted as a vertical line with a 90° angle of inclination in the accompanying figure. In other words, D Street has an infinite slope.

The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.

A horizontal line now has zero slopes.

The new road has a zero slope as a result.

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Answer:

An adjacent angle and the included side.

Step-by-step explanation:

The ASA Triangle Congruence Theorem states that 2 triangles are congruent if 2 corresponding angles and the included have the same measure. That means that you need the angle next to the angle already given and the side that is in between the two angles to prove that the triangles are congruent.

Using the center value with error method, the measured value with uncertainty can be written as:

21.4 ± 2.2 cm (center value: 21.4 cm, error: ±2.2 cm)

23.8 ± 2.2 cm (center value: 23.8 cm, error: ±2.2 cm)

19.3 ± 2.2 cm (center value: 19.3 cm, error: ±2.2 cm)

19.4 ± 2.2 cm (center value: 19.4 cm, error: ±2.2 cm)

23.9 ± 2.2 cm (center value: 23.9 cm, error: ±2.2 cm)

This means that the true value of the length measurement is expected to fall within the range of the measured value ± the error, with a level of confidence determined by the size of the error.

The center value with error method is a way to estimate the uncertainty of a measurement based on a set of repeated measurements. The central value is the average of the measurements, and the error is estimated as half of the range of the measurements.

In this case, the student took five measurements of length with a centimeter ruler, and the measurements were 21.4 cm, 23.8 cm, 19.3 cm, 19.4 cm, and 23.9 cm. The central value is the average of the measurements:

Central value = (21.4 + 23.8 + 19.3 + 19.4 + 23.9) / 5 = 21.96 cm

The range of the measurements is the difference between the largest and smallest measurement:

Range = 23.9 cm - 19.3 cm = 4.6 cm

The error is estimated as half of the range:

Error = 4.6 cm / 2 = 2.3 cm

Therefore, the measured value with uncertainty using the center value with error method is:

Measured value = 21.96 ± 2.3 cm

This means that the true value of the length is likely to be between 19.66 cm and 24.26 cm, with a best estimate of 21.96 cm.

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The underlying problem in this case from the perspective of CEO Elon Musk is that Tesla is having trouble meeting production targets for the Model 3. T

There are a number of causes of the problem, including:

Tesla's plan to remedy the issues with the Model 3 includes the following areas of organizational control:

The two core principles of total quality management are customer focus and continuous improvement.

However, Musk is not always successful in implementing these principles. For example, he has been criticized for making unrealistic promises to customers, which has led to disappointment.

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a) Contribution (objective value) = $132.14

b) The firm earns $132.14 at the optimal solution.

c) An additional hour of time available for the third machine is worth $0.14 to the firm.

d) An additional 5 hours of time available for the second machine will increase the objective value by $3.69.

The best result obtained from using computer software to solve the LP problem is: X1 = 11.43, X2 = 12.86, X3 = 5.71

b) The number of unused hours at the ideal solution is:

Machine 1 still has 8.57 hours of time left.

There are no hours left on Machine 2 at the moment.

There are still 94.29 hours left on Machine 3.

c) The shadow price of the third limitation is worth an extra hour of time available for the third machine. With the exception of increasing the right-hand side of the third constraint by one unit, we can solve the LP problem using the same constraints to determine the shadow price. Using LP to solve this issue, we discover that the shadow price for the third constraint is

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The residential buildings' total assessed land value has the smallest standard deviation.

To determine the standard deviations for the commercial and residential buildings' total assessed land value and total assessed parcel value, we would need access to a specific dataset that includes these values. However, based on general trends and assumptions, residential buildings' total assessed land value is likely to have the smallest standard deviation.

Residential properties typically exhibit more homogeneity compared to commercial properties. Residential neighborhoods often consist of similar types of properties, with comparable land values within a specific area. As a result, the assessed land values for residential buildings are more likely to cluster around a mean value, resulting in a smaller standard deviation.

In contrast, commercial properties can vary significantly in terms of size, location, and intended use. They may be diverse in terms of their land value and parcel value. The assessed land values and parcel values for commercial buildings are more likely to have a wider range of values, leading to a larger standard deviation.  

Therefore, based on these general characteristics, the residential buildings' total assessed land value is expected to have the smallest standard deviation compared to the commercial buildings' total assessed land value and total assessed parcel value.

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Answer:

Step-by-step explanation:

140

Answer:

19° = m∠B

73° = m∠T

88° = m∠R

Step-by-step explanation:

Let x = measure of angle B

then 4x - 3 = measure of angle T

 and 31 + 3x = measure of angle R

x + 4x - 3 + 31 + 3x = 180

8x + 28 = 180

8x = 152

x = 19° = m∠B

4(19) - 3 = 73° = m∠T

31 + 3(19) = 88° = m∠R

The five-number summary calculator is a statistical method. It is used to find the third quartile, first quartile, median, minimum, and maximum value of the given data set.

A five-number summary calculator is a statistical test that includes five items. The items are Q₁ or first quartile, Q₃ or third quartile, the median, the maximum, and the minimum. This helps to give an idea about the data set. This also helps to calculate ascending order, descending order, and interquartile of the given data set.

In this method, we first input the list of numbers or data. Then, we arrange those numbers. From this, the minimum value and the maximum value will be found. Then, the median is calculated using the formula for odd and even numbers of terms. Then, the median of the lower half numbers gives the first quartile and the upper half number gives the third quartile.

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According to the World Health Organization (WHO), the European and Mediterranean populations over the age of 20 have a high percentage of overweight people. In fact, the WHO estimates that approximately 55% of the population in this region is overweight or obese.

This is a significant percentage, and it is important to note that being overweight or obese can increase the risk of numerous health problems, including cardiovascular disease, diabetes, and certain types of cancer.

There are a number of factors that contribute to the high prevalence of overweight and obesity in this region, including changes in diet, decreased physical activity levels, and cultural factors. For example, many people in these regions consume a diet that is high in calories, fat, and sugar, while also engaging in sedentary behaviors.

Overall, the high percentage of overweight and obese individuals in the European and Mediterranean populations over the age of 20 is a cause for concern. It highlights the need for effective public health interventions to promote healthy lifestyles and prevent chronic disease.

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Answer:

Option 2 and 4

Step-by-step explanation:

Area of the big rectangle to fit small ones:

Area of small rectangles:

Now, the answer options:

To prove that τ and σ are multiplicative, we need to show that if m and n are relatively prime, then τ(mn) = τ(m)τ(n) and σ(mn) = σ(m)σ(n).

To prove τ(mn) = τ(m)τ(n), we can start by considering the prime factorization of m and n. Let's say m = p₁^a₁ * p₂^a₂ * ... * pₖ^aₖ and n = q₁^b₁ * q₂^b₂ * ... * qₙ^bₙ, where p₁, p₂, ..., pₖ and q₁, q₂, ..., qₙ are distinct prime numbers. Since m and n are relatively prime, none of their prime factors overlap.

Now, the divisors of mn are the numbers of the form p₁^x₁ * p₂^x₂ * ... * pₖ^xₖ * q₁^y₁ * q₂^y₂ * ... * qₙ^yₙ, where 0 ≤ xᵢ ≤ aᵢ and 0 ≤ yⱼ ≤ bⱼ. Thus, the number of divisors of mn, τ(mn), can be calculated by multiplying the number of divisors of m, τ(m), with the number of divisors of n, τ(n). Hence, τ(mn) = τ(m)τ(n).

To prove σ(mn) = σ(m)σ(n), we can again use the prime factorization of m and n. Similar to the previous proof, the sum of divisors of mn, σ(mn), can be calculated by multiplying the sum of divisors of m, σ(m), with the sum of divisors of n, σ(n). Hence, σ(mn) = σ(m)σ(n).

Therefore, we have proved that τ and σ are multiplicative when m and n are relatively prime.

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We have shown that both τ and σ are multiplicative functions, satisfying the properties τ(mn) = τ(m)τ(n) and σ(mn) = σ(m)σ(n) for relatively prime numbers m and n.

To prove that τ (the number of positive divisors) and σ (the sum of positive divisors) are multiplicative functions, we need to show that for any two relatively prime numbers, m and n, the following properties hold:

1. τ(mn) = τ(m)τ(n)

2. σ(mn) = σ(m)σ(n)

Let's start with property 1:

1. τ(mn) = τ(m)τ(n)

If m and n are relatively prime, it means that they do not share any prime factors. Therefore, the divisors of mn are formed by taking a divisor of m and a divisor of n. Each divisor of mn can be uniquely expressed as the product of a divisor of m and a divisor of n.

Since the number of divisors of mn is equal to the product of the number of divisors of m and the number of divisors of n, we can conclude that τ(mn) = τ(m)τ(n).

Now let's move on to property 2:

2. σ(mn) = σ(m)σ(n)

Similar to property 1, we can express the sum of divisors of mn as the sum of products, where each product is formed by taking a divisor of m and a divisor of n. Again, since m and n are relatively prime, their divisors are distinct.

Using the distributive property, we can expand the sum of products as the sum of two separate terms: one involving the divisors of m and another involving the divisors of n. The sum of divisors of mn is therefore equal to the product of the sum of divisors of m and the sum of divisors of n.

Hence, we can conclude that σ(mn) = σ(m)σ(n).

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Answer:

The third one

Step-by-step explanation:

Answer:

4 I think, Im not 100 percent sure.

Answer:

The solution to the system is (1.8, 7.6)

Step-by-step explanation:

To solve the system of linear equations by graphing, we need to plot the two lines on the same coordinate plane and find the point where they intersect, which will be the solution of the system.

Plot the lines:

y = 2/3x + 4 can be written as y = (2/3)x + 4, where the slope is 2/3 and the y-intercept is 4.

y = -x + 1 can be written as y = -x + 1, where the slope is -1 and the y-intercept is 1.

Find the intersection point:

To find the intersection point, we can substitute the x-value from one equation into the other equation. Let's use y = 2/3x + 4.

Substitute x from y = 2/3x + 4 into y = -x + 1:

-x + 1 = 2/3x + 4

Multiplying both sides by -3, we get:

3x - 3 = -2x - 12

Adding 2x to both sides, we get:

5x - 3 = -12

Adding 12 to both sides, we get:

5x = 9

Dividing both sides by 5, we get:

x = 1.8

Now that we have x, we can substitute it back into either equation to find the corresponding y-value. Let's use y = 2/3x + 4:

y = 2/3x + 4

y = 2/3 * 1.8 + 4

y = 3.6 + 4

y = 7.6

So the solution to the system is (1.8, 7.6), which is the point where the two lines intersect.

Answer:

If Bill grows 6 Inc in 2 years than he grows 3 Inc every year... hope that helps :)

Step-by-step explanation:

Answer:  angle 1 = 110 degrees

This is because angle 1 and the red 110 degree angle are corresponding angles.

They correspond to one another due to the fact they are both in the southwest corner of each 4-corner angle configuration (which is the result of crossing two lines)

Corresponding angles are congruent only when we have parallel lines like this.

The distance between the point A and B is 15 units.

The distance between two points can be found using Pythagoras's principle.

Point A is located at (7,4), and point B is located at (-8,4). Let's find the distance between point A and B as follows:

Therefore,

d = √(y₂ - y₁)² + (x₂ - x₁)²

Hence, using (7, 4) (-8, 4)

x₁ = 7

x₂ = -8

y₁ = 4

y₂ = 4

Hence,

d = √(4 - 4)² + (-8 - 7)²

d = √(0)² + (-15)²

d = √225

d = 15 units

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The vertex of your parabola lies at those two coordinates .The axis of symmetry, x is 1, was already discovered.

To locate a parabola's vertex, you must first determine x (or y, if your parabola is sideways) using the axis of symmetry formula. The quadratic equation will then be used to solve for y (or x, if your parabola opens to the side) using that value. The vertex of your parabola lies at those two coordinates.

The axis of symmetry is shown as a line, hence x=1. Since it is the highest or lowest point of the parabola, the vertex of a quadratic equation also serves as its maximum and minimum. We need to do a few things in order to locate the vertex: The axis of symmetry, x=1, was already discovered.

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Answer:

B

Step-by-step explanation:

the question is asking to name any point, B is a point that falls on the graph

Answer:

5 and 0.25

Step-by-step explanation:

5 I think thou ok but sure

Answer: The Third one is correct

Step-by-step explanation:

Answer:

180°

Step-by-step explanation:

1/2 hour = 30 minutes

1 hour is 360° degrees.

1/2 hour = 360 ÷ 2 = 180°

Answer:

180

Step-by-step explanation:

because half a circle is 180 degrees and since 1/2 hour means she returns at 9:30 the minute hand would have to move half of a circle around the clock

they are equal to each other

Determine the total number of marbles in the bag.

The number of marbles that ae not yellow are red and blue, whose total count is 10 in bag.

Determine the probability for the choosen marble is not yellow.

So answer is 5/12.

Option C is correct.

The given paragraph states that a stationery shop has been running for 10 years near campus in Jakarta.

Students like the asker often visit this store to purchase stationery, markers, rulers, and photocopiers.

The word "been" is a past participle of the verb "be." It is used to show the completion of an action in the past.

In this case, it implies that the stationery shop has been operating for the past 10 years near the campus.

The sentence can be rewritten as follows to make use of the word "been":

"The stationery shop has been providing stationery, markers, rulers, and photocopiers to students near the campus for 10 years."

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Answer:

x = 5.5

EF = 14

Step-by-step explanation:

We can use ratios to solve

AG                  7

----------- =  -----------------

EG                   2x+3

We know that EG is 2 times AG since A is the midpoint

AG                  7

----------- =  -----------------

2 AG                   2x+3

Canceling like terms

1                  7

----------- =  -----------------

2                    2x+3

Using cross products

1 (2x+3) = 2*7

2x+3 = 14

Subtract 3 from each side

2x+3-3 = 14-3

2x =11

Divide by 2

x = 11/2

x = 5.5

EF = 2x+3 = 2*5.5+3 = 14

The values of x, RM, RT, and MT are 15, 84, 168, and 84 respectively.

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.

Given a system of equations Where RM = 5x + 9 and MT = 8x - 36.

Since,

M is the midpoint of RT

Thus,

RM = MT

5x + 9 = 8x - 36

3x = 45

x = 15

So,

1) RM = 5x + 9

RM = 75 + 9 = 84

2) MT = 8x -36

MT = 120 - 36 = 84

3) RT = RM + MT

RT = 84 +84 = 168

Therefore, The values of x, RM, RT, and MT are 15, 84, 168, and 84 respectively.

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Answer:

Here's your answer !

Step-by-step explanation: