Store A sells a dozen donuts in packages as a BOGO, with the regular price of dozen at $6.35. Store B offers a dozen donuts without a special for $3.35. Store C offers a dozen and a half at a price of $6.50. Store D gives you a 25% discount if you buy 2 at a price of $3.70 each. Which is the better buy?

I would advise Rolf to take advantage of the Section 179 deduction for the current year to maximize his tax savings. By doing so, he can deduct the full cost of the equipment purchased and placed into service, up to the Section 179 limit.

Rolf should consider utilizing the Section 179 deduction, which allows business owners to deduct the full cost of qualifying equipment purchased and placed into service during the year, instead of depreciating it over several years. The current Section 179 limit is $1,050,000. Since Rolf purchased equipment worth $1,080,000, he can fully deduct this amount, subject to the limit. By taking advantage of this deduction, Rolf can significantly reduce his taxable income for the current year, thereby lowering his tax liability in the highest marginal tax bracket.

Furthermore, Rolf's plan to semi-retire in the future and potentially drop into lower marginal tax brackets should be considered when deciding whether to utilize cost recovery deductions such as depreciation. If Rolf expects to be in a lower tax bracket in the coming years, it may be more advantageous to spread the deductions over the useful life of the equipment through depreciation. This would allow him to offset income in future years when his tax rate is lower. However, since Rolf plans to keep the business open for another three to five years before fully retiring, it is important to assess the potential tax implications during this period. Consulting with a tax professional would be beneficial in determining the most suitable strategy for Rolf's specific circumstances.

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Answer:

√130 units

Step-by-step explanation:

(8,7) ; (1, -2)

Distance = \(\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\)

               \(= \sqrt{(1-8)^{2}+(-2-7)^{2}}\\\\= \sqrt{(-7)^{2}+(-9)^{2}}\\\\= \sqrt{49 + 81}\\\\= \sqrt{130}\)

Answer:

The measure of all the angles are;

45°, 135°, 45°, and 135°

Step-by-step explanation:

The given parameters are;

The ratio of two adjacent angles of the parallelogram = 1:3

Let x represent one of the adjacent angles, and let y represent the other adjacent angle

Given that two adjacent angles of a parallelogram are supplementary, we have;

x + y = 180°

x:y = 1:3

Therefore, y = 3 × x = 3·x, which gives;

x + 3·x = 180°

4·x = 180°

x = 180°/4 = 45°

y = 3 × x = 3 × 45° = 135°

Given that opposite interior angles of a parallelogram are equal, we have, the measure of all the angles are;

45°, 135°, 45°, and 135°.

The time Jodie have left to match the record of Mandy is 15.11 seconds

Jodie:

= 40.25 seconds

Time spent on the rope = 12.84 seconds

Total time spent = 40.25 seconds + 12.84 seconds

= 53.09 seconds

Total time she have left to match the record = Mandy's obstacle course - Total time spent

= 68.2 seconds - 53.09 seconds

= 15.11 seconds

Therefore, the time Jodie have left to match the record of Mandy is 15.11 seconds

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Answer:

190

Step-by-step explanation:

quotient: 120/3=40

product: 15*10=150

adding them:150+40=190

Answer:

190

Step-by-step explanation:

quotient: 120/3=40

product: 15*10=150

adding them:150+40=190

Answer: 192 square feet

Step-by-step explanation:

Pythagorean theorem:

20^2 = h^2 + 16^2

400 = h^2 + 256

144 = h^2

h = 12

Area of a triangle: 1/2 bh

(1/2)(32)(12)= 192

9514 1404 393

Answer:

  £27.50

Step-by-step explanation:

The general approach is ...

1. The area to be painted will be the area of the four walls, less the area of the door (which is assumed to be a hole in the wall, so is not painted).

Each wall has the same dimensions, so the same area. The area of the rectangular wall is ...

  A = LW

  A = (3.5 m)(2.6 m) = 9.1 m²

The area of the door is ...

  A = (2.2 m)(0.8 m) = 1.76 m²

Then the area to be painted is the area of the 4 walls less the area of the door:

  painted area = 4(9.1 m²) -1.76 m² = 34.64 m²

__

2. Each 2 L tin of paint will cover (2 L)×(8 m²/L) = 16 m², so the number of tins needed is ...

  (34.64 m²)/(16 m²/tin) = 2.165 tins

We assume this means Aisha will need to purchase 3 tins, since she will need more paint than is provided by 2 tins.

__

3. Because of the price offer on the paint, Aisha will pay full price for the first two tins, half price for the 3rd tin. That is, she will pay 2 1/2 times the full price of a tin when she buys the 3 tins of paint she needs. Each tin costs £11, so Aisha will pay ...

  (2 1/2)(£11) = £27.50

Aisha will pay £27.50 for the paint to paint her living room.

Answer:

that I have a panda but the black on it and I have kiss me kiss me at

A z-score of -2 indicates that the sample mean does not occur very often by chance in the sampling distribution of means and probably did not come from the given population.

To answer this question, we need to calculate the z-score of the sample mean. The formula for the z-score is (sample mean - population mean) / standard error.

Plugging in the values given, we get:

z = (80 - 100) / 10 = -2

A z-score of -2 indicates that the sample mean is 2 standard errors below the population mean.

Based on this information, we can conclude that the sample mean does not occur very often by chance in the sampling distribution of means, and probably did not come from the given population.

This is because the z-score is beyond the typical range of values we would expect to see if the sample mean came from the population.

In this case, you have a random sample with a mean of 80, while the population mean is 100, and the standard error is 10.

To calculate the z-score, use the formula: (sample mean - population mean) / standard error, which is (80-100)/10 = -20/10 = -2.

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Answer:

9

Step-by-step explanation:

Answer:

AC = 15 units

Step-by-step explanation:

Since BD is an angle bisector then it divides the opposite side into segments that are proportional to the other 2 sides, that is

\(\frac{AB}{BC}\) = \(\frac{AD}{DC}\) , substitute values

\(\frac{12}{18}\) = \(\frac{6}{x}\) ( cross- multiply )

12x = 108 ( divide both sides by 12 )

x = 9

Then

AC = 6 + 9 = 15 units

Answer:

4c + 5 = R

Step-by-step explanation:

This should help you

Answer:

\(13x+4y+12\)

Step-by-step explanation:

Combine all the like terms & then solve:

\((4x+2x+7x)+(-5y+9y)+(4+6+2)\)

\(13x+4y+12\)

\(\implies {\blue {\boxed {\boxed {\purple {\sf { \: 13x + 4y + 12}}}}}}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

\(4x - 5y + 2x + 4 + 6 + 9y +7 x + 2\)

Combining like terms, we have

= \( \:( 4x + 2x + 7x ) + (9y- 5y )+ (4 + 6 + 2)\)

= \( \: 13x + 4y + 12\)

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}\)

Answer:

\(\frac{81}{1000}\)

Step-by-step explanation:

Answer:

Mala had 14 sweets at the start.

Step-by-step explanation:

7 x 2 = 14

To check, 14/2 = 7. (Dividing by 2 is the same as multiplying by 1/2)

The system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

A line process has three processing stages with the characteristics given below:

Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100%

To determine the system capacity and the bottleneck stage and utilization of Stage 3:

The system capacity is calculated by the product of the processing capacity of each stage:

1 x 1 x 2 = 2 units per minute

The bottleneck stage is the stage with the lowest capacity and it is Stage A. Therefore, Stage A has the lowest capacity and determines the system capacity.The utilization of Stage 3 can be calculated as the processing time per unit divided by the available time per unit:

Process time per unit = 1 + 2 + 3 = 6 minutes per unit

Available time per unit = 90% x 100% x 100% = 0.9 x 1 x 1 = 0.9 minutes per unit

The utilization of Stage 3 is, therefore, (6/0.9) x 100% = 666.67%.

However, utilization cannot be greater than 100%, so the actual utilization of Stage 3 is 100%.

Hence, the system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

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Answer:

b I'm pretty sure. its 2.645751311

Answer:

Point X

Step-by-step explanation:

Based on the information provided, the only possible number that satisfies all the conditions is 20.

What is GCF?

GCF stands for "Greatest Common Factor". It is also sometimes referred to as the "Greatest Common Divisor" (GCD). The GCF of two or more numbers is the largest positive integer that divides evenly into each of the numbers. In other words, it is the largest factor that the numbers have in common.

The GCF (Greatest Common Factor) of 18, 36, and a number N is 2. Since 18 and 36 are both even numbers with a common factor of 2, any number that satisfies this condition must also be even and have a factor of 2.

The number N is a multiple of 5. Since the number is even and has a factor of 2, the only even multiple of 5 between 18 and 30 is 20.

Finally, we are given that N is greater than 18 and less than 30. The only number that satisfies all the given conditions is therefore 20.

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The expression that correctly represents the statement "the product of 4 and a number, n, subtracted from 10" is 10 - 4n.

In general, a statement is a declarative sentence that is either true or false. It is a sentence that makes a claim or assertion about something, and it can be either a simple statement or a complex one.

The statement "the product of 4 and a number, n, subtracted from 10" is an example of a mathematical expression that involves a variable, which is represented by the letter "n". In this expression, we are asked to find the difference between the number 10 and the product of 4 and the variable "n".

To simplify this expression, we can use the order of operations, which tells us to perform the multiplication before subtraction. Therefore, we first multiply 4 and n to get the product of 4n. Then, we subtract that product from 10 to get the final expression:

\($10 - 4n$\)

This expression represents the result of subtracting the product of 4 and the variable "n" from the number 10. We can evaluate this expression for different values of "n" to find the corresponding result. For example, if we substitute "n" with 2, we get:

\($10 - 4(2) = 10 - 8 = 2$\)

This means that when "n" is equal to 2, the result of subtracting the product of 4 and "n" from 10 is equal to 2. Similarly, we can substitute different values of "n" into the expression to find their corresponding results.

Therefore, The expression that correctly represents the statement "the product of 4 and a number, n, subtracted from 10" is 10 - 4n.

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Answer: $21.6

Step-by-step explanation:

Cοnverting units frοm cups tο pints is similar tο cοnverting units frοm οunces tο pοunds because bοth invοlve cοnverting units within the same system οf measurement.

Unit cοnversiοn is the prοcess οf cοnverting οne unit οf measurement tο anοther unit οf measurement fοr the same quantity by multiplying/dividing by cοnversiοn factοrs. Scientific nοtatiοn is used tο express the units, which are then transfοrmed intο numerical values based οn the quantities.

Cοnverting units frοm cups tο pints is similar tο cοnverting units frοm οunces tο pοunds because bοth invοlve cοnverting units within the same system οf measurement. In the U.S. custοmary system, there are 2 cups in a pint and 16 οunces in a pοund. Sο, tο cοnvert frοm cups tο pints, yοu need tο divide the number οf cups by 2, and tο cοnvert frοm οunces tο pοunds, yοu need tο divide the number οf οunces by 16.

The difference between the twο is the scale οf the cοnversiοn factοr. When cοnverting frοm cups tο pints, the cοnversiοn factοr is 2, which is a smaller scale than cοnverting frοm οunces tο pοunds where the cοnversiοn factοr is 16. This means that a smaller change in the quantity οf cups can lead tο a larger change in the quantity οf pints, while a larger change in the quantity οf οunces is required tο result in a cοmparable change in the quantity οf pοunds.

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Answer:

a

Step-by-step explanation:

the answer is a because adding -3 to 12 will make 9 and -3 × 12 is -36.

Answer:

the first one

Step-by-step explanation:

Answer:

A.) The red triangle A is reflected across the x-axis onto triangle B.

B.) ✔The red triangle A is reflected across the y-axis onto triangle D.

C.) ✔The blue triangle D is reflected across the x-axis onto triangle C.

D.) ✔The blue triangle D is reflected across the line y = x onto triangle B.

E.) The green triangle C is reflected across the line y = –x onto triangle A.

Step-by-step explanation:

So the answer is B,C, and, D.

Hope this helps

:)

The changes in weights (b) did not affect the decision as Worldwide Delivery remained the most suitable provider. However, the increase in ratings for Overnight Shipping (c) resulted in it becoming the most suitable outsourcing provider according to the given criteria.

1) Factor rating
2) Outsourcing provider
3) Logistics services
4) Weights
5) Ratings

a) Factor rating is a method used to evaluate and select an outsourcing provider based on predetermined criteria. In this case, Fernando Garza's firm wants to select a logistics services provider using factor rating. The table provided includes the weights assigned to different criteria (quality, delivery, and cost) and the ratings of three potential providers (Overnight Shipping, Worldwide Delivery, and United Freight).

To make his decision, Garza needs to multiply the weight of each criterion by the rating of each logistics provider and sum up the results. The highest sum indicates the most suitable outsourcing provider. Let's calculate the results:

Overnight Shipping:
Quality: 5 (weight) x 90 (rating) = 450
Delivery: 3 (weight) x 70 (rating) = 210
Cost: 2 (weight) x 70 (rating) = 140
Total: 450 + 210 + 140 = 800

Worldwide Delivery:
Quality: 5 (weight) x 80 (rating) = 400
Delivery: 3 (weight) x 85 (rating) = 255
Cost: 2 (weight) x 80 (rating) = 160
Total: 400 + 255 + 160 = 815

United Freight:
Quality: 5 (weight) x 75 (rating) = 375
Delivery: 3 (weight) x 70 (rating) = 210
Cost: 2 (weight) x 95 (rating) = 190
Total: 375 + 210 + 190 = 775

Based on these calculations, Worldwide Delivery has the highest total score of 815, making it the most suitable outsourcing provider according to the given criteria.

b) Garza decides to increase the weights for quality, delivery, and cost to 10, 6, and 4, respectively. This change means that Garza now considers quality to be twice as important as before, delivery to be 1.5 times as important, and cost to be twice as important.

Let's recalculate the results with the updated weights:

Overnight Shipping:
Quality: 10 (weight) x 90 (rating) = 900
Delivery: 6 (weight) x 70 (rating) = 420
Cost: 4 (weight) x 70 (rating) = 280
Total: 900 + 420 + 280 = 1600

Worldwide Delivery:
Quality: 10 (weight) x 80 (rating) = 800
Delivery: 6 (weight) x 85 (rating) = 510
Cost: 4 (weight) x 80 (rating) = 320
Total: 800 + 510 + 320 = 1630

United Freight:
Quality: 10 (weight) x 75 (rating) = 750
Delivery: 6 (weight) x 70 (rating) = 420
Cost: 4 (weight) x 95 (rating) = 380
Total: 750 + 420 + 380 = 1550

With the updated weights, the new results show that Worldwide Delivery still has the highest total score of 1630, making it the most suitable outsourcing provider.

c) If Overnight Shipping's ratings for each of the factors increase by 10%, we need to recalculate the results while considering these changes.

Overnight Shipping:
Quality: 10 (weight) x (90 + 10% of 90) = 990
Delivery: 6 (weight) x (70 + 10% of 70) = 462
Cost: 4 (weight) x (70 + 10% of 70) = 308
Total: 990 + 462 + 308 = 1760

With the increased ratings, Overnight Shipping now has the highest total score of 1760, making it the most suitable outsourcing provider.

In summary, the changes in weights (b) did not affect the decision as Worldwide Delivery remained the most suitable provider. However, the increase in ratings for Overnight Shipping (c) resulted in it becoming the most suitable outsourcing provider according to the given criteria.

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Answer:

Zeros of the given function are x = 1, 7

Step-by-step explanation:

Given function is,

f(x) = (x - 1)(x - 7)

For zeros of the function,

f(x) = 0

(x - 1)(x - 7) = 0

(x - 1) = 0

x = 1

(x - 7) = 0

x = 7

Therefore, zeros of the given function are x = 1, 7

We can find the zeros by suing a graphing tool.

Answer:

x = 3

Step-by-step explanation:

Jacob has 1/2 of a container of trail mix.

He is filling snack packs that each use about 1/6 of a container

We need to find the number of snack packs can Jacob make. Let he can make x snack packs.

\(\dfrac{1}{6}x=\dfrac{1}{2}\\\\x=3\)

Hence, he can make 3 snack packs.

The mean in minutes of the length of time given= 9.1

The formula used for the determination of mean when a frequency table is given is

= total/n

Where total = frequency×midpoint

n = 42

To calculate the total, the mid point of each length of time is determined as follows;

1+4/2 = 2.5 × 4 = 10

4+7/2= 5.5 × 8 = 44

7+10/2 = 8.5 × 14= 119

10+13/2 = 11.5× 9 = 103.5

13+16/2= 14.5×5 = 72.5

16+19/2= 17.5× 2= 35

Total= 10+44+119+103.5+72.5+35 = 384

Therefore mean = 384/42= 9.1

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Answer:

reflection across x axis

Step-by-step explanation:

The transformations that were used to create congruent triangle E’F’G from triangle EFG are (d) reflection across the x-axis and a translation

From the figure, we can see that

The second highlight above means that the triangle EFG is first reflected across the x-axis and then translated

Hence, the transformations that were used to create congruent triangle E’F’G from triangle EFG are (d)

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