Which is the composite function for the price a loyalty
member would pay based on the original price, x?
ne
An
C(L(x)) = 2.7800x
O C(L(x)) = 0.9180x
O C(L(x)) = 0.7803x
C(L(x)) = 0.7225x

Answer:

I believe the answer is D

Step-by-step explanation:

that one made them ost sense to me but I'm sorry if I'm wrong

a) The break-even point for the division is: 4000 units

b) The level of sales for 10% profit is: 4681 units

The break-even point is defined as the point at which total cost and total revenue are equal, meaning there is no loss or gain for your small business. In other words, you've reached the level of production at which the costs of production equals the revenues for a product.

a) We are told that:

Selling price for income tax app = $8

Monthly fixed cost = $20000

Variable cost producing each app = $3

Thus:

8x = 3x + 20000

5x = 20000

x = 4000 units

b) 8x = 1.1(3x + 20000)

8x = 3.3x + 22000

4.7x = 22000

47x =220000

x = 4681 units

Read more about Break even point at: https://brainly.com/question/15281855

#SPJ1

Missing questions are:

(a) Find the break-even point for the division.

(x,y)=

(b) What should be the level of sales in order for the division to realize a 10% profit over the cost of making the income tax apps? (Round your answer up to the nearest whole number.)

We have 305 cakes. As we know

Answer:

  x = 31.2

Step-by-step explanation:

You want the solution to the proportion 12/x = 5/13.

You can eliminate the fractions by multiplying this equation by the least common denominator. That value is 13x, the product of these denominators. Multiplying by 13x, we have ...

  \(\dfrac{12}{x}\times13x=\dfrac{5}{13}\times13x\\\\\\12\cdot13=5\cdot x\qquad\text{simplified}\)

Now, the value of x is found by dividing both sides by its coefficient.

  \(\dfrac{12\cdot13}{5}=\dfrac{5x}{5}\\\\\\\dfrac{156}{5}=x\\\\\boxed{31.2=x}\)

__

Additional comment

The first step we did, multiplying by 13x, is also sometimes called "cross multiplication." The result of that step is that each numerator is multiplied by the opposite denominator.

Multiplying both sides of the equation by the same value (13x) is supported by the multiplication property of equality. The term "cross multiplication" is descriptive of the result, but is not a recognized property of equality. It is a good idea to keep the math operations you do grounded in the properties of equality.

You will notice that the steps we did were "multiply by 13x" and "divide by 5". These can be done at once by "multiply by 13x/5". Of course, that operation is done to both sides of the equation.

Any proportion can be written 4 ways:

  \(\dfrac{12}{x}=\dfrac{5}{13}\qquad\dfrac{x}{12}=\dfrac{13}{5}\qquad\dfrac{x}{13}=\dfrac{12}{5}\qquad\dfrac{13}{x}=\dfrac{5}{12}\)

These can be thought of as "upside down" and "sideways." We like the versions with the variable on top of a fraction, because the solution to that is simply multiplication by the variable's denominator.

<95141404393>

Danielle sent 503 messages on that month.

What is Division method?

Division method is used to distributing a group of things into equal parts.

Given that;

Danielle's text messaging plan costs $11 for the first 300 messages

And, 20¢ for each additional text message.

Let, C = Cost above 300 messages

E = Number of extra messages sent.

T = Total messages.

Hence, C = 51.60 - 11

               = 40.60

And, C = 0.2 E

E = C / 0.2

  = 40.60 / 0.2

  = 203

So, T = 203 + 300

     T = 503

Thus, Danielle sent 503 messages on that month.

Learn more about the division visit:

https://brainly.com/question/3038198

#SPJ1

Answer:

20

None of the answers shown are correct

Step-by-step explanation:

12 : 30 = x : 50

Handle as a proportion

12/30 = x/50

multiply both sides by 50

12/30 * 50 = x

20 = x

The 99% confidence interval for the population proportion p is (0.776, 0.824).

To find the 99% confidence interval for a proportion, we can use the formula:

CI = p^ ± z*(SE)

where p^ is the sample proportion, SE is the standard error, and z is the critical value from the standard normal distribution corresponding to the level of confidence.

For a 99% confidence interval, the critical value z is 2.576.

Substituting the given values into the formula, we have:

CI = 0.80 ± 2.576*(0.03/√200)

Simplifying this expression, we have:

CI = 0.80 ± 0.024

This means that we are 99% confident that the true population proportion falls between 0.776 and 0.824. We can interpret this interval as a range of plausible values for the population proportion, based on the sample data.

To learn more about confidence interval here:

https://brainly.com/question/24131141

#SPJ1

Answer:

Step-by-step explanation:

i think you meant whats the probabilty of it being red

if thats what you meant, then it would be:

total number of marbles : 18

number of red marbles: 6

probability of the green marbles: 6/18

so the answer is 1/3

The proportion that shows the relationship is h/4 = 8/h

The values of a, h and b are a = 16√3, b = 16√6 and h = 4√2

From the question, we have the following parameters that can be used in our computation:

The similar triangles

Using the right triangle/altitude similarity theorem, we have

h/4 = 8/h

Calculating the values of a, h and b

In (a), we have

h/4 = 8/h

This means that

h² = 32

So, we have

h = 4√2

For the value of (a), we have

a² = h² + 4²

So, we have

a² = 32 + 4²

a² = 48

Evaluate

a = 16√3

Next, we have

b² = 32 + 8²

b² = 96

So, we have

b = 16√6

Read more about similar triangles at

https://brainly.com/question/14285697

#SPJ1

Answer:

The answer is 3

Step-by-step explanation:

Step-by-step explanation:

24 employees from each sales department at each location

Answer: D. 24 employees from each sales department at each location

Step-by-step explanation: took the test I got it right

Answer:

60 degrees sorry if its wrong

Step-by-step explanation:

Answer:

\(E(10x + 3y) =106\)

Step-by-step explanation:

Given

\(E(x) =10\)

\(Var(x) = 100\)

\(E(y) =2\)

\(Var(y) = 16\)

Required

\(E(10x + 3y)\)

To do this, we make use of the following equation

\(E(ax + by) =aE(x) + bE(y)\)

So, we have:

\(E(10x + 3y) =10 * E(x) + 3 *E(y)\)

\(E(10x + 3y) =10 * 10 + 3 *2\)

\(E(10x + 3y) =100 + 6\)

\(E(10x + 3y) =106\)

Answer: y = 12.6

Step-by-step explanation:

Since x = 2 and y = 6.3 * x, y = 6.3 * 2.

6.3 * 2 is equal to 12.6, so y is 12.6.

Answer:

y = 12.6

Step-by-step explanation:

y = 6.3x                     x = 2

Solve for y.

y = 6.3(2)

y = 12.6

So, the answer is 12.6

The value of x in the polygon will be 13.25 degrees.

The value of x is 10.

We can find the value of x by plugging in the number of sides of the regular polygon into the formula x = (n-2)*15° - 1.

The sum of the interior angles of a regular polygon with n sides is (n-2) x 180 degrees.

Sum of angles = (24-2) x 180 = 22 x 180 = 3960 degrees

Since all the angles in a regular polygon are congruent, we can divide the sum of the angles by the number of angles to find the measure of one angle:

Measure of one angle = 3960/24 = 165 degrees

165 = 12x + 6

159 = 12x

x = 13.25

Therefore, the value of x is 13.25 degrees.

Each of the triangles in our decomposition has one angle equal to (17x+2)°, so the sum of all the angles in the triangles is 43 × (17x+2)° = 731x+86°.

Therefore, we have:

731x+86° = 7380°

Solving for x, we get:

731x = 7294°

x = 10

Therefore, the value of x is 10.

The equation that can be used to find the value of x is:

(9x+48)° + (15x-24)° = (n-2)*180°

24x + 24 = (n-2)*180°

Dividing both sides by 24, we get:

x + 1 = (n-2)*15°

Subtracting 1 from both sides, we get:

x = (n-2)*15° - 1

Learn more about polygon on

https://brainly.com/question/1592456

#SPJ1

To solve the exercise, we can first convert the first addend to an improper fraction:

Now we have a sum of homogeneous fractions. Homogeneous fractions are those that have the same denominator. To add these fractions, the numerators are added, and the denominator is left the same. So, we have:

Therefore, the result of the given operation is -2.

Answer:

The calculated value Z = 0.063< 1.96 at 5% level of significance

Null hypothesis is accepted

There is no significant difference between age and watching television in teenagers

Step-by-step explanation:

Step(i):-

Given random sample size 'n' = 905

Given data 198 say they watch 3 or more hours of television per day.

Given random first sample size

                                  n₁ = 905

First sample proportion

           \(p_{1} = \frac{x_{1} }{n_{1} } = \frac{198}{905} = 0.2187\)

Given random second sample size

                                  n₂ = 503

second sample proportion

           \(p_{2} = \frac{x_{2} }{n_{1} } = \frac{97}{503} = 0.1928\)

Step(ii):-

Null Hypothesis : H₀

There is no significant difference between age and watching television in teenagers

Alternative Hypothesis :H₁

There is  significant difference between age and watching television in teenagers

Step(iii):-

Test statistic

\(Z = \frac{p_{1}-p_{2} }{\sqrt{PQ(\frac{1}{n_{1} }+\frac{1}{n_{2} } }) }\)

Where

\(P = \frac{n_{1}p_{1} + n_{2} p_{2} }{n_{1}+n_{2} }\)

\(P = \frac{905 X0.2187 + 503 X0.1928 }{905+503 }\)

P =  0.2094    

Q = 1 - 0.2094 = 0.7906

\(Z = \frac{0.2187-0.1928}{\sqrt{0.2094 X0.7906(\frac{1}{905} +\frac{1}{503} } )}\)

on calculation , we get

Z =   0.063

The critical value Z₀.₀₅ = 1.96

The calculated value Z = 0.063< 1.96 at 5% level of significance

Conclusion:-

Null hypothesis is accepted

There is no significant difference between age and watching television in teenagers

Answer:

Answer is f(t)= 870(1.0582)t

5.82% increased per year

Step-by-step explanation:

Answer:

approx 26%

Step-by-step explanation:

you try find the multiplier

200000 * 1. ???? ^3= 400000

rearrange equation

\(\sqrt[3]{\frac{400000}{200000} }\)       =   multiplier

1.25992105

subract one

0.25992105

multiply by 100 to get percentage

25.9%

rounded to whole number = 26%

Answer:

b

Step-by-step explanation:

Answer: 115$

Step-by-step explanation: you start with the total value of both the ipod and the earbuds and then subtract the amount of money Macy paid for earbuds. The answer you get after doing that is the answer for the amount of money

204 - 89 = 115$

Answer:

5 is an acute triangle

6 is a right triangle

Step-by-step explanation:

Tell me if you need anything else, and remember to give me brainliest :P

We can answer this question using trigonometric ratios. This is possible because we have a right triangle in the question (we can check this by looking at the small square between the sides DE and EF).

We also need to have into account the reference angle. The reference angle here is the angle mHaving all this information, we have that the trigonometric ratios are the sine, the cosine, and the tangent, and they are defined, respectively as follows:

As we can see, the sine is the ratio between the opposite side to the reference angle over the length of the hypotenuse, the cosine the ratio between the adjacent side to the reference angle to the hypotenuse, and the tangent is the ratio between the opposite side to the reference angle to the adjacent side to this reference angle.

We are asked for the side DE. This side is opposite to the reference angle 30. We have that the hypotenuse is equal to 16. Therefore, we need to use the sine ratio to solve this triangle. Remember: you can only use this trigonometric ratio in case of having a right triangle.

Then, we have:

And we know that sin(30) = 1/2. Then, we have:

Therefore, the side DE (one of the legs of the right triangle) is equal to 8, DE = 8.

Answer:

B: rectangle JKLM ~ rectangle QRSP

Step-by-step explanation:

5/6=0.83

12.5=0.83

JK corresponds to QR

JM corresponds to PQ

rectangle JKLM ~ rectangle QRSP