y=mx+b
What does mx stand for in the equation y=mx+b

14.11 is the price of one share in the company TYK.

Given:

Find:

Solution:

The dividend is the amount paid to the shareholders for their investment in the company.

Dividend at end of 7th year = $1 per share (given)

dividend expected growth rate = 6%  (given)

the dividend will be paid from the end of seven years.

So find the price of the share at the end of the 6th year.

price at the end of the 6th year

= Dividend at the 7th year/discount rate growth rate

= 1/(10%-6%) = 1/4% = 25

price of the share at the end of the 6th year is $25

discount price 10% (given)

current price share = 25/(1+10%)^6

                              = 25/(1.1)^6

                              = 25/1.77

                             = 14.11

The current price of the share is $ 14.11

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Answer: 2

Step-by-step explanation:

8 - 4 = 4

5 - 3 = 2

4/2 = 2

Answer:

Step-by-step explanation:

the rate of change or slope from the given two points is rise over run.

(3, 4) (5, 8)

slope = (y2 - y1) / (x2 - x1)

         = (8 - 4) / (5 - 3)

         = 4 / 2

         = 2

Answer:r=2 cos^4(theta)

Step-by-step explanation:To find the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta), we need to find where the derivative of r with respect to theta is equal to zero, since the maximum r-values occur at these points.

First, we can simplify the equation by using the identity cos(2theta) = 2cos^2(theta) - 1 and substituting cos^2(theta) = (1 + cos(2theta))/2. This gives:

r = 2 cos^4(theta) = 2(1/2 + 1/2 cos(2theta))^2 = 1 + cos(2theta) + cos^2(2theta)/2.

Next, we can take the derivative of r with respect to theta, using the chain rule:

dr/dtheta = -sin(2theta) - 2cos(2theta)sin(2theta).

Setting this equal to zero and factoring out sin(2theta), we get:

sin(2theta)(-1 - 2cos(2theta)) = 0.

This equation is satisfied when sin(2theta) = 0 or cos(2theta) = -1/2.

When sin(2theta) = 0, we have 2theta = k*pi for some integer k. Therefore, theta = k*pi/2.

When cos(2theta) = -1/2, we have 2theta = 2*pi/3 + 2*k*pi or 2theta = 4*pi/3 + 2*k*pi for some integer k. Therefore, theta = pi/3 + k*pi or theta = 2*pi/3 + k*pi.

These are the values of theta where the maximum r-values occur on the graph of the polar equation r = 2 cos^4(theta).

5/8 of the total has been sold, so we just do 64*5/8=40 houses that had been sold this year. Hope this helped!

Answer:

Step-by-step explanation:

Perimeter:  

     \(P=(x+y+z) \ cm\)

Semi-perimeter:

     \(SP=\frac{1}{2} (x+y+z) \ cm\)

The total fixed cost must be B . $2,500 .

Given :

Average variable cost ( AVC ) = $50

Average total cost ( ATC ) = $75

Output ( Q ) = 100

Since Average fixed cost is the difference between the average total cost and the average Variable cost. This will be:

Average fixed cost = average total cost -  average Variable cost

Average fixed cost = $75 - $50

Average fixed cost = $25

We know that :

AFC = TFC / Q

TFC = AFC × Q

TFC = $25 × 100

TFC = $2500

Therefore, total fixed cost is $2500

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Answer:

Not possible with given

Step-by-step explanation:

We know that the volume of a cube is one of the sides raise to the third power.

In this case, we have that we need to raise, both, 3 and 5 to the third power to obtain the volume in cubic centimeters. Then, we have:

For s = 3:

For s = 5:

Then, to find the surface area, we know that the area of one side of the cube is the side to the second power. Since the cube has 6 sides, then, we need to multiply this side by 6. Thus:

That is the given value: 54 cm^2.

The other side is:

Therefore, the answers are:

For the first row:

27 cm^3, 54 cm^2.

Second row:

125 cm^3, 150 cm^2.

Answer:

y - 7 = 5(x + 7).

Step-by-step explanation:

The slope m  (7--3)/ (-7- -9)

= 10 / 2 = 5.

y - y1 = m(x - x1)

Using the point (-7, 7):

y - 7 = 5(x + 7).

Answer:

Step-by-step explanation:

The domain and range of a linear function is always real numbers (T or F)

It is True. This is because of a couple of reasons.

    1.) You cannot divide by 0.

     2. A negative number cannot have its square root taken.

The range is determined by the domain in a linear function, and thus it must always consist of real numbers.

Answer:

improper fraction would be 3 2/3 and mixed number would be 11/3

Step-by-step explanation:

Answer:

1) $15 2) 10 apples

Step-by-step explanation:

First off you would do 30 divided by 2.00 which is 15.

Then for 2 the answer is 5 because if you 10 divided by 2 which gives you five

Your welcome! :))

Answer:

8+pi/2

Step-by-step explanation:

The area of the rectangle on the bottom is 8, or 2*4. The area of the top is half (because it's a semi circle) of pi*r^2, or just 1/2 pi

Answer:

A?

Step-by-step explanation:

I believe it's a because $1.99 is the dependent variable

The correct answer is option b which is the cost will be $264.00

The complete question is given below:-

Tiles in this image would cover a 1 ft.? area of the kitchen. The large tiles cost $0.96 each and the small tiles cost $0.26 each. If Fred needs to cover an area of 22 ft.

by 3 ft., how much will the tile cost?

Click on the correct answers)

A

$244.00

B

$264.00

C

8346.00

D

$366.00

E

$412.00

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

The image that shows the pattern of the arrangement of tiles consists of:

2 large tiles = $0.96 x 2 = $1.92

8 small tiles = $0.26 x 8 = $2.08

This implies that $4 would need to be spent to cover 1ft²

Therefore, to cover an area of 22ft by 3ft, it would cost Fred the following below:

Area to be covered = 22×3 = 66ft²

$4 --> 1ft²

x$ ---> 66ft²

= (66 × 4)/1

= $264.00

Therefore the correct answer is option b which is the cost will be $264.00

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The answer is explained below.

In order to be considered a language, a system of communication must have vocabulary, grammar, syntax, and people who use and understand it. Mathematics meets this definition of a language. Linguists who don't consider math a language cite its use as a written rather than spoken form of communication.

Mathematics is pure language - the language of science. It is unique among languages in its ability to provide precise expression for every thought or concept that can be formulated in its terms. In a spoken language, there exist words, like "happiness", that defy definition.

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Answer:

\( \frac{3( {5}^{8} - 1) }{5 - 1} = 292968\)

Let's put more details in the given figure to better understand the problem:

In a function, f(x) = y. This means that the function means at given x, y is the result or output of the function.

a.) At f(-2), we are asked what is the y equivalent of the function at x = -2.

Looking at the graph, we've determined that at x = -2, y = 2.

Therefore, f(-2) = 2

b.) Finding one value of x for which f(x) = 4. This means that we are asked what is the x equivalent of the function will have a y equivalent of 4.

From the graph, 4 appears to be a vertex of the parabolic graph. And the x at y = 4 is at the origin which is equal to 0.

Therefore, we can say, that at y = 4, x = 0.

Answer: f(x) = 4, x = 0

Answer:

150

Step-by-step explanation:

100%/ x% = 219/ 416

Cross multiply

x = 150 %

219 is 150% of 416

Answer: 3375

Step-by-step explanation: The formula for simple interest is P( Principal, or initial amount) x R ( Rate or the percentage) x T ( Time) all out of 100( because of the percentage)

P x R x T/100

1. 1250 x 18 x 15/ 100

If you can simplify, or divide or cancel out, please do, it’ll make it easier; the 0 at the end of 1250, takes out one 0 from 100. 5 could cancel out 15 and 10, leaving them at 3 and 5 respectively, and lastly the two ( the hundred broken down) dividing 18, leaving us with 9.
2. 125 x 27

With all the breaking down we just did, we just have to multiply the two, leaving us with your answer: 3375.

Hope this was helpful

The given triangle is a right angled triangle, therefore the rules of basic Trigonometry can be used here to find the solution.

\(\qquad\displaystyle \tt \dashrightarrow \: \sin(45 \degree) = \frac{opposite \:\: side}{hypotenuse} \)

[ sin 45° = 1/√2 ]

\(\qquad\displaystyle \tt \dashrightarrow \: \frac{1}{ \sqrt{2} } = \frac{b}{x} \)

\(\qquad\displaystyle \tt \dashrightarrow \: x = b \sqrt{2} \: \: cm\)

So, the side HG is b√2 cm long

The domain of the given set of functions is (Alex, Alesia, Bob,  Yolanda, Maria , Elvis)

The collection of all potential inputs for a function is its domain. Think of this box as the f(x) = 2x function. The domain is only the collection of natural numbers when the input values are x = 1,2,3,4,..., and the values that are returned are referred to as the range.

The collection of all a function's outputs is its range. Example: Let's have a look at the function f: A-> B, where f(x) = 2x and A and B each represent a "collection of natural numbers." The domain in this instance is A, and the co-domain is B. The range then appears as the function's output.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it may take as input. After we enter an x value, the function outputs this sequence of values.

The domain of the given set of functions is (Alex, Alesia, Bob,  Yolanda, Maria , Elvis)

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Answer:

A

Step-by-step explanat

Answer:

it is important because the number of people who are infected by the disease is rising

Derivative of function is 5(2x + 4) * (x² + 4x + 6)⁴.

What is differentiation?

In arithmetic, the derivative of a function of a true variable measures the sensitivity modification of the perform price with relation to a change in its argument. Derivatives are a elementary tool of calculus.

Main body:

by using product rule;

Let = u = x² + 4x + 6

⇒ du/dx = 2x + 4 .

Now y = u⁵

⇒ dy/dx = 5u⁴ .

dy/dx = dy/dx * du/dx = 5u⁴ * (2x + 4)

= 5 * (x² + 4x + 6)⁴ * (2x + 4)

= 5(2x + 4) * (x² + 4x + 6)⁴

hence , derivative of function is 5(2x + 4) * (x² + 4x + 6)⁴.

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Under the units-of-activity method, the depreciation expense per mile for Bus #3 is $0.4616.

The units-of-activity method is one of the depreciation methods in use.

Under the units-of-activity method, the depreciation expense per unit is determined by dividing the depreciable amount by the total units of activity.

The depreciation amount (the value of the asset subject to depreciation) is the net of the total cost less the salvage value.

Depreciable amount of Bus #3 = $57,700 ($66,500 - $8,800)

Expected total miles for Bus #3 = 125,000

Depreciation expense per mile for Bus #3 = $0.4616 ($57,700 ÷ 125,000)

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Bus    Acquired    Cost    Salvage    Useful Life     Depreciation
                                          Value         in Years          Method

1          1/1/12      $99,100   $7,900           4             Straight-line

2         1/1/12      128,000     11,000          4             Declining- balance

3         1/1/13       66,350      8,800          5             Unit-of-activity

We can see that, when the input is 5, the output is 24.

Here we have the equation:

\(y = x^2 - 1\)

Where y is the output and x is the input.

We want to evaluate it with the input as 5, so we need to replace the variable x by the number 5, we will get:

\(y = 5^2 - 1 = 24\)

Then we can see that, when the input is 5, the output is 24.

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Answer: 150

Step-by-step explanation:

You got it right, just divide 300 by 2 :)

Answer:

150

Step-by-step explanation:

50% is half if everything... half of 300 is 150