You bought a coffee shop for $153,600. The prior owner had an average monthly revenue of $8600 and an average monthly cost of $5400. If your monthly costs and revenues remain the same, how long will it take you to break even?

Answer:

The answer is the first one - Additive Inverse.

Answer:

13x - 2

Step-by-step explanation:

Use the distributive property to eliminate the parentheses.  1(7x - 10) -1(-6x - 8) so using the distributive property 7x - 10 + 6x + 8.  Next, combine the like terms.  13x - 2

Answer:

170 tickets were sold in advance

Step-by-step explanation:

Let x represent the = number of tickets sold at the door.

Let y represent the = number of tickets sold in advance

Tickets to a school play cost $2 if bought in advance and $3 at the door. By selling all 400 tickets, $1,030 was

collected.

Hence, we have two equations

x + y = 400 tickets

$3 × x + $2 × y = $1,030

x + y = 400.... Equation 1

x = 400 - y

3x + 2y = 1030........ Equation 2

Substitute 400 - y for x in Equation 2

3(400 - y) + 2y = 1030

1200 - 3y + 2y = 1030

Collect like terms

-y = 1030 -1200

-y = -170

y = 170

Since y represent the number of tickets sold in advance, therefore, 170 tickets were sold in advance.

Answer:

2x-4= 7x-34

30=5x

6=x

Step-by-step explanation:

bring the variables to one side and numbers to the other by either subrtracting or adding depending on the values.

now divide 5 on both sides

now you have the answer

I hope this helps!

If one is interested in measuring the effects of a moderating variable, one can build it into the design as an independent variable.

To measure the effects of a moderating variable, it can be built into the design as an independent variable.

When studying the relationship between two variables, a moderating variable is a factor that influences the strength or direction of the relationship.

It is also known as an interaction variable. In order to measure the effects of a moderating variable, it is important to incorporate it into the research design.

To build a moderating variable into the design, it is treated as an independent variable.

An independent variable is a variable that is manipulated or controlled by the researcher.

By including the moderating variable as an independent variable, researchers can examine how it interacts with the other variables of interest.

The moderating variable is often operationalized by creating different groups or conditions based on its levels. For example, in a study investigating the impact of teaching method (independent variable) on student performance (dependent variable), the moderating variable could be student motivation.

The researchers can build the moderating variable into the design by dividing participants into high and low motivation groups, and then examining how the teaching method affects their performance differently.

By incorporating the moderating variable as an independent variable, researchers can systematically examine its influence on the relationship between the other variables. This allows for a deeper understanding of how and under what conditions the relationship changes.

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Solution,

Principal=£ 500

Time=2 years

Interest=£40

Rate=?

Now,

R=I*100/P*T

= 40*100/500*2

=4000/1000

=4%

Hope it helps

Good luck on your assignment

Answer:

\(4\%\)

Step-by-step explanation:

\(p = 500 \\ r = x \\ t = 2\)

\(simple \ \: \: \: = \frac{prt}{100} \\ interest \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 40= \frac{500 \times x \times 2}{100} \\ \: \: \: \: \: \: \: 40 \: \: \: \: \: \: \: \: \: = \frac{1000x}{100} \\ \frac{40 \times 100}{1000} = x \\ x = 4\)

Answer:

24 liters

Step-by-step explanation:

2×3×4

Answer:

-5 -4 -3 -2 -1 0 1

Step-by-step explanation:

I am confused by your question but I believe this is the anwser.

Answer:

The answer would be C. An obtuse equilateral triangle :)

Answer:

.........

it is -7

The NPV of the CBCS project, using an 8% discount rate, is. \(\$21,646.77.\)

Financial value proposition of CBCS:

The financial value proposition of CBCS is based on several factors:

Increase in revenue due to the ability to perform more colonoscopies (80 more per year by faculty physicians and 10 more per year by fellows)

Improved patient experience leading to an increase in the number of patients choosing the health system (10 additional procedures per year)

Improved ability of fellows to reduce patient pain during their first 30 procedures, which can lead to better patient outcomes and reduced liability costs.

Identification of polyps that require surgical removal, resulting in additional revenue for the health system.

Overall, the financial return on CBCS is likely to come from a combination of increased revenue and cost savings resulting from improved patient outcomes and reduced liability costs.

Financial analysis in Excel:

Please see attached Excel file for the financial analysis.

IRR calculation:

The IRR of the CBCS project is 23.2%.

Payback period calculation:

The payback period of the CBCS project is 2.6 years.

CBCS project is 2.6 years.

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Researchers try to gain insight into the characteristics of a sample population by examining a sample of the population.

A sample is a subset of individuals or units taken from a larger population. Researchers use sampling methods to select a representative group of individuals from the population they are interested in studying. By studying the sample, researchers can make inferences and draw conclusions about the characteristics, behaviors, or trends that may exist within the entire population.

The goal of sampling is to obtain a sample that accurately represents the population in terms of its relevant characteristics. Researchers carefully select their samples to ensure that they are representative and minimize bias. This allows them to generalize the findings from the sample to the larger population with a certain level of confidence.

By examining a sample, researchers can collect data, analyze patterns, and draw conclusions about the population as a whole. This approach is more feasible and practical than attempting to study the entire population, especially when the population is large or geographically dispersed.

Therefore, researchers use samples to gain insight into the characteristics of a population, making option d. "Sample" the correct answer.

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The polynomial that is prime is given by Option C: \(10x^2 - 4x +3x +6\)

Those polynomials with integer coefficients that cannot be factored further, with factors of lower degree and integer coefficients are called prime polynomial.

(it is necessary that no factors exists having their coefficients are still integers and they're of lower degree)

Checking all the listed polynomials for them being prime or not:

Rewriting it as:

\(x^3+3x^2+2x+6 = x^2(x+3) + 2(x+3) = (x^2 + 2)(x+3)\)

shows that this polynomial has factors. Thus, it isn't prime polynomial

Rewriting it as:

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

shows that this polynomial has factors. Thus, it isn't prime polynomial

We can rewrite it as:

\(10x^2 -4x + 3x -6 = 10x^2 -x -6 = f(x) \: \rm (say)\)

This polynomial is prime polynomial as it is irreducible in terms of polynomials having their coefficients as integers.

Case 4: \(10x^2 -10x + 6x - 6\)

It can be factored as:

\(10x(x-1) + 6(x-1) = (x-1)(10x-6)\)

This is not a prime polynomial.

Thus, the polynomial that is prime is given by Option C: \(10x^2 - 4x +3x +6\)

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Answer:

The polynomial that is prime is given by Option C:

What are prime polynomials?

Those polynomials with integer coefficients that cannot be factored further, with factors of lower degree and integer coefficients are called prime polynomial.

(it is necessary that no factors exists having their coefficients are still integers and they're of lower degree)

Checking all the listed polynomials for them being prime or not:

Case 1:

Rewriting it as:

shows that this polynomial has factors. Thus, it isn't prime polynomial

Case 2:

Rewriting it as:

shows that this polynomial has factors. Thus, it isn't prime polynomial

Case 3:

We can rewrite it as:

This polynomial is prime polynomial as it is irreducible in terms of polynomials having their coefficients as integers.

Case 4:

It can be factored as:

This is not a prime polynomial.

Thus, the polynomial that is prime is given by Option C:

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Step-by-step explanation:

Answer:

10

Step-by-step explanation:

3(-1)=-3

-3^2=9

9+1=10

Two 6-sided dice are rolled 40 times and the data from each roll is recorded to has 3 even and 3 odd numbers.

Probability of getting even number is

3/6 = 0.5

i.e. 50%

Out of 40 rolls there are 50% chances to get even number. i.e.

50 × 1/100 × 40 = 20

Thus 20 is the answer,

It’s true that the outcome of 20 is the most likely outcome, but is it likely? Actually you’ll only get an outcome of exactly 20 about 12.5% of the time.

57% of the time you’ll get an outcome of 18, 19, 20, 21, or 22.

If you want a range that occurs >95 % of the time, you’ll need to cover 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26.

So, I think it really depends on what exactly you mean by likely.

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To calculate the amount Briana saved by purchasing a backpack with a sales promotion, we need to find the difference in prices between the two backpacks after applying the respective discounts.

For the first backpack that originally costs $45 with a sales promotion of 20% off:

Discounted price = $45 - (20% * $45) = $45 - $9 = $36

For the second backpack that originally costs $42 with a sales promotion of 10% off:

Discounted price = $42 - (10% * $42) = $42 - $4.2 = $37.8

Now we can calculate the savings:

Amount saved = Original price - Discounted price

Amount saved = $42 - $37.8 = $4.2

Therefore, Briana saved $4.2 by purchasing the backpack that cost $45 with a 20% off promotion instead of the backpack that cost $42 with a 10% off promotion.

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The probability that the sample proportion will differ from the population proportion by greater than 4% is 0.990.

According to the Central limit theorem, if from an unknown population large samples of sizes n > 30, are selected and the sample proportion for each sample is computed then the sampling distribution of sample proportion follows a Normal distribution.

The mean of this sampling distribution of sample proportion is:

µ = p

The standard deviation of this sampling distribution of sample proportion is:

σ = √p(1-p)/n

The information provided is:

p = 0.14

n = 41

As the sample size is large, i.e n = 411 > 30. the central limit theorem can be used to approximate the sampling distribution of sampling proportion.

Compute the values of P(p^ - p >0.04) as follows:

P(p^ - p < 0.04) = P(p^-p/σ > 0.04/√0.14(1-0.14)/411

= P(Z>2.33)

= 0.990

Thus the probability that the sample proportion will differ from the population proportion by greater than 4% is 0.990

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0.29 km is equal to 290,000 mm when rounded to two significant figures.

Convert kilometers to millimeters, you need to multiply the given value by a conversion factor. In this case, since there are 1,000 meters in a kilometer and 1,000 millimeters in a meter, the conversion factor is 1,000,000 (1,000 x 1,000).

Step 1: Multiply 0.29 km by the conversion factor:

0.29 km x 1,000,000 = 290,000,000 mm

Step 2: Round the result to two significant figures:

Since the original value, 0.29 km, has two significant figures, we round the result to match.

290,000,000 mm becomes 290,000 mm.

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The first digit must be 1. The remaining seven ones must be either 0 or 1.

Therefore, there can be formed \(2^7=128\) different numbers.

The difference in the proportion of males and the proportion of females that smoke is 0.08

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

The given parameters are:

                             Male           Female

Sample                  61                  48

Smokers               15                   8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08

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The solutions of the rational equation is x=3.257 and x=-4.27

Two or more expressions with an Equal sign is called as Equation.

The given equation is  1/ x-1  -  1/x+2 = 1/4

4(x+2)-4(x-1)=(x-1)(x+2)

Apply distributive property

4x+8-4x+4=x²+2x-x-2

12=x²+x-2

x²+x-14=0

Use quadratic formula

x=-1±√1²+56/2

x=-1±√57/2

x=-1±7.55/2

x=-1+7.55/2

x=3.257 and x=-4.27

Hence, the solutions of the rational equation is x=3.257 and x=-4.27

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Part A: To find the total surface area of the rectangular prism, we need to calculate the areas of all six faces and then add them together.

Given dimensions:

Length = 7 feet

Width = 3 feet

Height = 4.8 feet

Surface Area of each face:

Front and back faces: Length * Height

= 7 feet * 4.8 feet

= 33.6 square feet

Top and bottom faces: Width * Length

= 3 feet * 7 feet

= 21 square feet

Side faces: Width * Height

= 3 feet * 4.8 feet

= 14.4 square feet

Total Surface Area:

2 * (Front and back faces) + 2 * (Top and bottom faces) + 2 * (Side faces)

= 2 * 33.6 square feet + 2 * 21 square feet + 2 * 14.4 square feet

= 67.2 square feet + 42 square feet + 28.8 square feet

= 137 square feet

Therefore, the total surface area of the bench is 137 square feet.

Part B: To calculate the cost of covering the bench with ceramic tiles, we need to multiply the total surface area by the cost per square foot.

Cost per square foot = $0.89

Total Surface Area = 137 square feet

Total cost to cover the bench:

= Cost per square foot * Total Surface Area

= $0.89 * 137 square feet

= $121.93

Therefore, it will cost $121.93 to cover the bench with ceramic tiles.

The answer is 1 7/24

In a 12-hour period of digital clock, there are 2 instances.

The 12-hour clock runs from 1am to noon and then from 1pm to midnight. The 24-hour clock runs from 00:00 (midnight) to 23:59.

In a 12-hour period on a digital clock, there are a few instances when each succeeding digit is one more than the preceding digit. Let's break it down hour by hour,

1. 01:23 (only in the 1st hour)
2. 12:34 (only in the 12th hour)

In a 12-hour period, there are only 2 instances when each succeeding digit is one more than the preceding digit on a digital clock.

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Answer:

Calculate the zero of the function.

Step-by-step explanation:

Plot two points, Connect them, Draw a straight line and make sure they line up.

True.

If A is a 5 by 5 matrix and has three pivots, then its row reduced echelon form will have three leading 1's, and the other two rows will be zero rows.

If A is a 5 by 5 matrix and has three pivots, then its row reduced echelon form will have three leading 1's, and the other two rows will be zero rows. This means that the three pivot columns of A are linearly independent, and they span a three-dimensional subspace of R^5.

Since the pivot columns of A are the columns of ColA, we can say that ColA is a subspace of R^5 that is spanned by three linearly independent vectors. Since the dimension of this subspace is three, it is a three-dimensional subspace of R^5. Geometrically, a three-dimensional subspace of R^5 is a (two-dimensional) plane, sincsincesincsinceee it is the intersection of two three-dimensional spaces. Therefore, we can conclude that ColA is a (two-dimensional) plane in R^5.

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Answer:

y = 3x+5 in slope-intercept form

Step-by-step explanation:

Your equation is already in point-slope form, but I assume you want to turn it into slope-intercept form:

\(y-2=3(x+1)\\y-2=3x+3\\y=3x+5\)

Now you know what your y-intercept is!

Thus, the perimeter οf the triangle RST is 7.2 cm

The cοmplete length οf a shape's edge serves as its perimeter in geοmetric terms. Adding the lengths οf all the sides and edges that surrοund a fοrm yields its perimeter. It is calculated using linear length units such centimetres, meters, inches, and feet.

The diagοnals οf a rectangle bisect each οther.

length οf diagοnal RT = 1.5 +1.5 = 3 cm

Perimeter οf the triangle

RST =  RS+ST+RT

= 2.4 + 1.8 + 3

=  7.2 cm

Thus, the perimeter οf the triangle RST is 7.2 cm

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Answer:

\(P_{RST}\) = 7.2 cm

Step-by-step explanation:

entered :

-|3x-9|+2=-4

Step by step solution :

STEP

1

:

Rearrange this Absolute Value Equation

Absolute value equalitiy entered

-|3x-9|+2 = -4

Another term is moved / added to the right hand side.

To make the absolute value term positive, both sides are multiplied by (-1).

|3x-9| = 6

STEP

2

:

Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |3x-9|

For the Negative case we'll use -(3x-9)

For the Positive case we'll use (3x-9)

STEP

3

:

Solve the Negative Case

-(3x-9) = 6

Multiply

-3x+9 = 6

Rearrange and Add up

-3x = -3

Divide both sides by 3

-x = -1

Multiply both sides by (-1)

x = 1

Which is the solution for the Negative Case

STEP

4

:

Solve the Positive Case

(3x-9) = 6

Rearrange and Add up

3x = 15

Divide both sides by 3

x = 5

Which is the solution for the Positive Case

STEP

5

:

Wrap up the solution

x=1

x=5

I hope this help you

Answer: x= 1, 5

Step-by-step explanation:

First, isolate the absolute value. Subtract two from the equation to get -l3x-9l=-6, and then divide by -1 to get l3x-9l=6.

Since an absolute value measures how far away a value is from zero, it's always positive. For example, -10 and 10 have the same absolute value, 10, because they're both 10 units away from zero.

Because of this, you create two equations; 3x-9=6, and 3x-9=-6.

For the first equation, add 9 to 6 and divide that by 3 to get x=5.

For the second equation, add 9 to -6 and divide that by 5 to get x=1.