Ashley is making cookies. The recipe calls for ¾ of a cup of sugar. She needs to make five batches of cookies. How many cups of sugar does Ashley need?

Answers

Answer 1

Answer:

3 3/4

Step-by-step explanation:

3/4×5

15/4

simplify

3 3/4

Answer 2

Answer:

Ashley needs [tex]3\frac{3}{4}[/tex] cups of sugar

Step-by-step explanation: 3/4 multiplied by 5 is 3.75 or 3 3/4


Related Questions

Sam was asked to place the numbers shown below in order from greatest to least.
5, -0.5, 4, 350%, -13, 4.7, -66, 1.22
ANSWER ASAP

Answers

Answer:

5 > 4.7 > 4 > 350% > 1.22 > -0.5 > -13 > -66

Step-by-step explanation:

Twenty point question!

Answers

Answer:

yes

no

Step-by-step explanation:

i hope im correct please give me brainliest and some feedback if im correct or not :)

Express the ratio as a fraction in simplest form.

7 kilograms to 400 grams

Answers

Answer:

35:2

Step-by-step explanation:

7000 and 400 are each multiples of 100. 7000÷100=70

400÷100=4

70/4 is left

divide each by 2 as it is the only number that can go both in to 70 and 4

Ram bought an article for rs. 148.75. He gave rs. 200 to the shopkeeper. What balance will he get ?

Answers

Answer:

his balance will be 51.25 rs.

Step-by-step explanation:

200 - 148.75 = 51.25

Answer:

51.25

Step-by-step explanation:

200-148.75

=51.25

Find the value of a. Then find the angle measures of the quadrilateral.

Answers

Answer:

a = 60

Step-by-step explanation:

Since it is a quadrilateral, the sum of interior angles is equal to 360°. Now you have to create an equation to solve this question. To create an equation, you have to add all the interior angles to 360°.

The equation would be 2a°+a°+a°+2a° = 360°.

Then you would simplify it to 6a° = 360.

You would divide 6 on both sides to get to a° = 60.

Therefore, the value of a is 60.

Hope this helped! If not, please let me know! <3

A=60 hope this helps you

Help. Please, I will give you brainliest. Give me the right answers.

Answers

Step-by-step explanation:

[tex] \sf{\dfrac{5( \fbox{41} - 32)}{9} = C}[/tex]

[tex] \sf{\dfrac{5( \fbox{9})}{9} = C}[/tex]

[tex] \sf{ \dfrac{45}{9} = C}[/tex]

[tex] \sf{C = 5 }[/tex]

So,

41° F = [5]°C

41 F
5 c
And whatever else I missed I’m sorry I’m just trying to re-write what other people said so they can get brainly

Anybody Know This. ?

Answers

Answer second option

Step-by-step explanation:

Answer:

the 2nd

Step-by-step explanation:

one is the one and only

40% of 250 is equal to 60% of what number

Answers

Answer:

24

Step-by-step explanation:

250% × ? = 60

? =

60 ÷ 250% =

60 ÷ (250 ÷ 100) =

(100 × 60) ÷ 250 =

6,000 ÷ 250 =

24

The age of earth’s crust is 5 · 10^9 years. Express this number as an integer.

Answers

Answer:

5,000,000,000 (see below)

Step-by-step explanation:

Integers are whole numbers and their opposites. That doesn't include fractions or decimals, even if they're negative. Being negative doesn't do anything, really.

For example, 5 and –5 are integers, but 5.1 or –5.3 are not integers. They're decimals, which means they're rational.

Integers also include 0.

Whole numbers do not include 0, so they're only 1, 2, 3, 4, 5, 6, 7, 8, 9 . . . and so on.

All whole numbers are integers.

So in order to find 5 × [tex]10^{9}[/tex] as an integer, you'll have to multiply the 5 and [tex]10^{9}[/tex] together.

[tex]10^{9}[/tex] is simply nine zeros, so it's: 1,000,000,000.

5 × 1,000,000,000 = 5,000,000,000

5,000,000,000 is not a decimal or fraction—and it also isn't negative. That means it's a whole number. Which qualifies it as an integer as well.

Find the area of the surface. The part of the paraboloid z = 1 - x2 - y2 that lies above the plane z = -6 ​

Answers

Answer:

π/6 [(29)^³/₂ − 1]

81.247

Step-by-step explanation:

Surface area is:

S = ∫∫ √(fₓ² + fᵧ² + 1) dA

The partial derivatives are:

fₓ = -2x

fᵧ = -2y

Substituting:

S = ∫∫ √(4x² + 4y² + 1) dA

To make this easier, we can convert to polar coordinates.

S = ∫∫ √(4r² + 1) dA

S = ∫∫ √(4r² + 1) r dr dθ

S = ⅛ ∫∫ 8r √(4r² + 1) dr dθ

The limits for θ are 0 to 2π.  The minimum of r is 0.  The maximum of r is:

-6 = 1 − x² − y²

-6 = 1 − r²

r² = 7

r = √7

Integrating the first integral:

S = ⅛ ∫ ⅔ (4r² + 1)^³/₂ |₀ᴿ dθ

S = ⅛ ∫ [⅔ (4(7) + 1)^³/₂ − ⅔ (4(0) + 1)^³/₂] dθ

S = ⅛ ∫ [⅔ (29)^³/₂ − ⅔] dθ

S = ¹/₁₂ [(29)^³/₂ − 1] ∫ dθ

Integrating the second integral:

S = ¹/₁₂ [(29)^³/₂ − 1] θ |₀²ᵖⁱ

S = ¹/₁₂ [(29)^³/₂ − 1] (2π − 0)

S = π/6 [(29)^³/₂ − 1]

S ≈ 81.247

The area of a shape is the amount of space it covers.

The surface area is approximately 81.3 unit squares

The given parameters are:

[tex]\mathbf{z = 1 - x^2 - y^2}[/tex]

[tex]\mathbf{z = -6}[/tex]

Calculate the partial derivatives of [tex]\mathbf{z = 1 - x^2 - y^2}[/tex]

[tex]\mathbf{f_x = -2x}[/tex]

[tex]\mathbf{f_y = -2y}[/tex]

So, the surface area is:

[tex]\mathbf{A = \int\limits^a_b\int\limits^a_b {\sqrt{(f_x^2 + f_y^2 +1 )}} \, dA }[/tex]

So, we have:

[tex]\mathbf{A = \int\limits^a_b\int\limits^a_b {\sqrt{((-2x)^2 + (-2y)^2 +1 )}} \, dA }[/tex]

[tex]\mathbf{A = \int\limits^a_b\int\limits^a_b {\sqrt{(4x^2 + 4y^2 +1 )}} \, dA }[/tex]

Factor out 4

[tex]\mathbf{A = \int\limits^a_b\int\limits^a_b {\sqrt{(4(x^2 + y^2) +1 )}} \, dA }[/tex]

Substitute

[tex]\mathbf{r^2 = x^2 + y^2}\\\mathbf{dA = rdr d\theta}[/tex]

So, we have:

[tex]\mathbf{A = \int\limits^a_b\int\limits^a_b {\sqrt{(4r^2 +1 )}} \, r\ dr\ d\theta }[/tex]

Multiply by 1

[tex]\mathbf{A = \int\limits^a_b\int\limits^a_b {\sqrt{(4r^2 +1 )}} \, r \times 1\ dr\ d\theta }[/tex]

Express 1 as 8/8

[tex]\mathbf{A = \int\limits^a_b\int\limits^a_b {\sqrt{(4r^2 +1 )}} \, r \times \frac{8}{8}\ dr\ d\theta }[/tex]

Rewrite as:

[tex]\mathbf{A =\frac{1}{8} \int\limits^a_b\int\limits^a_b {8r \sqrt{(4r^2 +1 )}}, \ dr\ d\theta }[/tex]

From the question,

[tex]\mathbf{z = -6}[/tex]

So, we have:

[tex]\mathbf{1 - r^2 = -6}[/tex]

Add 6 to both sides

[tex]\mathbf{7 - r^2 = 0}[/tex]

So, we have:

[tex]\mathbf{r^2 = 7}[/tex]

Integrate [tex]\mathbf{A =\frac{1}{8} \int\limits^a_b\int\limits^a_b {8r \sqrt{(4r^2 +1 )}}, \ dr\ d\theta }[/tex]

[tex]\mathbf{A =\frac{1}{8} \int\limits^a_b {\frac{8}{12} (4r^2 +1 )^{\frac 32}}, |\limits^R_0 d\theta }[/tex]

[tex]\mathbf{A =\frac{1}{8} \times \frac{8}{12} \int\limits^a_b { (4r^2 +1 )^{\frac 32}}, |\limits^R_0 d\theta }[/tex]

[tex]\mathbf{A =\frac{1}{12} \int\limits^a_b { (4r^2 +1 )^{\frac 32}}, |\limits^R_0 d\theta }[/tex]

[tex]\mathbf{A =\frac{1}{12} \int\limits^a_b { (4r^2 +1 )^{\frac 32} -(4 \times 0^2 +1 )^{\frac 32} }, d\theta }[/tex]

Substitute [tex]\mathbf{r^2 = 7}[/tex]

[tex]\mathbf{A =\frac{1}{12} \int\limits^a_b { (4\times 7 +1 )^{\frac 32} - 1^{\frac 32}}, d\theta }[/tex]

[tex]\mathbf{A =\frac{1}{12} \int\limits^a_b {29^{\frac 32} - 1}, d\theta }[/tex]

Rewrite as:

[tex]\mathbf{A =\frac{1}{12} (29^{\frac 32} - 1), \int\limits^a_b d\theta }[/tex]

Integrate

[tex]\mathbf{A =\frac{1}{12} (29^{\frac 32} - 1), \times \theta |\limits^{2\pi}_0}[/tex]

So, we have:

[tex]\mathbf{A =\frac{1}{12} (29^{\frac 32} - 1), \times (2\pi - 0) }[/tex]

[tex]\mathbf{A =\frac{1}{12} (29^{\frac 32} - 1), \times 2\pi}[/tex]

Rewrite as:

[tex]\mathbf{A =\frac{2\pi}{12} (29^{\frac 32} - 1)}[/tex]

[tex]\mathbf{A =\frac{\pi}{6} (29^{\frac 32} - 1)}[/tex]

[tex]\mathbf{A =81.3}[/tex]

Hence, the surface area is approximately 81.3 unit squares

Read more about surface areas at:

https://brainly.com/question/3621496

Write as a product:

25a^2−0.01b^10

Answers

Answer:

(5a + 0.1b^5)(5a + 0.1b^5)

Step-by-step explanation:

25a^2 − 0.01b^10 =

This follows the pattern: x^2 - y^2 = (x + y)(x - y)

= (5a + 0.1b^5)(5a + 0.1b^5)

What’s 3 over 4 plus 1 over 8

Answers

Answer:

7/8

Step-by-step explanation:

3/4+1/8

give common denominators

6/8+1/8

add like terms

7/8.

Answer:

3/4 +1/8=

6/8+1/8=7/8

Solve: 2/3x-7=17 please help

Answers

Answer:

x=36

Step-by-step explanation:

2/3x-7=17

2/3x-7+7=17+7

2/3x=24

2/3x(3)=24(3)

2x=72

2x/2=72/2

x=36

A man earned wages of $30,600 , received $2900 in interest from a savings account, and contributed $2600 to a tax-deferred retirement plan.He was entitled to a personal exemption of $2500 and had deductions totaling $5020. Find his gross income, adjusted gross income, and taxable income

Answers

Answer:

So the answer is gonna be: 33,580.  Hope this help!

Step-by-step explanation:

You borrow $600 to buy a violin. The simple interest rate is 15%. You
pay off the loan after 5 years. How much do you pay for the loan?
What would the monthly payment be for the loan?

Answers

Answer:

$1050

Step-by-step explanation:

$600*15%*5=$450 interest

interest+borrowed=loan

$450+$600=$1050

I don't know the monthly payment sorry

In a test of a printed circuit board using a random test pattern, an array of 14 bits is equally likely to be 0 or 1. Assume the bits are independent.
(a) What is the probability that all bits are 1s? Round your answer to six decimal places (e.g. 98.765432). Enter your answer in accordance to the item a) of the question statement
(b) What is the probability that all bits are 0s? Round your answer to six decimal places (e.g. 98.765432). Enter your answer in accordance to the item b) of the question statement
(c) What is the probability that exactly 7 bits are 1s and 7 bits are 0s? Round your answer to three decimal places (e.g. 98.765). Enter your answer in accordance to the item c) of the question statement

Answers

Answer:

(a) 0.000061

(b) 0.000061

(c) 0.209

Step-by-step explanation:

An array of 14 bits is equally likely to be 0 or 1.

That is, P (0) = P (1) = 0.50.

(a)

Compute the probability that all bits are 1s as follows:

[tex]P(\text{All bits are 1s})=[P(1)]^{14}[/tex] ∵ the bits are independent

                            [tex]=(0.50)^{14}\\=0.00006103515625\\\approx 0.000061[/tex]

Thus, the probability that all bits are 1s is 0.000061.

(b)

Compute the probability that all bits are 0s as follows:

[tex]P(\text{All bits are 0s})=[P(0)]^{14}[/tex] ∵ the bits are independent

                            [tex]=(0.50)^{14}\\=0.00006103515625\\\approx 0.000061[/tex]

Thus, the probability that all bits are 0s is 0.000061.

(c)

Compute the probability that exactly 7 bits are 1s and 7 bits are 0s as follows:

Define X as the number of bits that 1s.

Then the random variable X will follows a binomial distribution with parameters n = 14 and p = 0.50.

The value of P (X = 7) is:

[tex]P(X=7)={14\choose 7}(0.50)^{7}(1-0.50)^{14-7}[/tex]

               [tex]=\frac{14!}{7!\times 7!}\times (0.50)^{14}\\\\=3432\times 0.000061\\\\=0.209352\\\\\approx 0.209[/tex]

Thus, the probability that exactly 7 bits are 1s and 7 bits are 0s is 0.209.

50 twenties minus 1 twenty

Answers

980


correct me if i am wrong
I agree with the first answer I belive it would be 989

John earns $437 a week after a 15% pay rise. What was his pay initially? Round your answer to the nearest dollar.

Answers

Answer:

380 dollars

Step-by-step explanation:

John earns $437 a week after a 15% pay rise.

Let the initially pay of John be x

x + (15% of x) = 437

x + 0.15x = 437

1.15x = 437

x = \frac{437}{1.15}

1.15

437

x = 380

In the triangle below, what is the length of the side opposite the 60° angle?

Answers

Answer:

3

Step-by-step explanation:

Answer:

3 sqrt3

Step-by-step explanation:

AP3X

Multiply the polynomial expressions.
-3x*(2x2 - 4x + 1)

Answers

the answer would be -15x + 12x ^2

Answer:

-15

Step-by-step explanation:the

use long division by dividing 78 and 3

Answers

Answer:

26

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Step 1:

Start by setting it up with the divisor 3 on the left side and the dividend 78 on the right side like this:

           

   3 ⟌ 7 8  

Step 2:

The divisor (3) goes into the first digit of the dividend (7), 2 time(s). Therefore, put 2 on top:

       2    

   3 ⟌ 7 8  

Step 3:

Multiply the divisor by the result in the previous step (3 x 2 = 6) and write that answer below the dividend.

       2    

   3 ⟌ 7 8  

       6    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (7 - 6 = 1) and write the answer below.

       2    

   3 ⟌ 7 8  

     - 6    

       1    

Step 5:

Move down the 2nd digit of the dividend (8) like this:

       2    

   3 ⟌ 7 8  

     - 6    

       1 8  

Step 6:

The divisor (3) goes into the bottom number (18), 6 time(s). Therefore, put 6 on top:

       2 6  

   3 ⟌ 7 8  

     - 6    

       1 8  

Step 7:

Multiply the divisor by the result in the previous step (3 x 6 = 18) and write that answer at the bottom:

       2 6  

   3 ⟌ 7 8  

     - 6    

       1 8  

      1 8  

Step 8:

Subtract the result in the previous step from the number written above it. (18 - 18 = 0) and write the answer at the bottom.

       2 6  

   3 ⟌ 7 8  

     - 6    

       1 8  

     - 1 8  

         0  

Find the total surface area of this cuboid,
5 cm
4 cm
6 cm

Answers

I don’t see a picture:(

Calculating Rate of change

Answers

Answer/Step-by-step explanation:

We are given the following coordinates of two points on the line of the graph shown in the question as: A(2, 1) and B(4, 2)

Vertical change from point A = [tex] y_2 - y_1 = 2 - 1 = 1 [/tex]

Horizontal change from point A = [tex] x_2 - x_1 = 4 - 2 = 2 [/tex]

Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{1}{2} = 0.5 [/tex]


I need help I currently have a c trying to make up some work

Answers

Answer:

y=(-2)

Step-by-step explanation:

x=(-4) so 3x(-4)=(-12) (note: negative times a positive always equals a negative) 12/6=2 so 6x(-2)=(-12) both equations equal the same answer

You have wanted a car you entire life (literally since you were born)!! It is time...you found the car of you dreams AND the car is marked as 80% of!!!! What a deal!!! "What could go wrong" you ask yourself. You buy the car for $625 (and the man in the hood walks off smiling). As your parent(s) drive you home after picking you up next to your broken down vehicle 3 hours later, they ask you what the original price of the car was before the price reduction. What was the original price of your.... "dream car"?

Answers

Answer:

200,000

Step-by-step explanation:

What is 8/23/25 as decimal

Answers

9514 1404 393

Answer:

  0.01_3913043478260869565217...

Step-by-step explanation:

The value of 8/23/25 is a repeating decimal with a repeat of 22 digits.

  [tex]\dfrac{8}{23}\div25=0.01\overline{3913043478260869565217}[/tex]

A rectangle is dilated using a scale factor of 6. The
image is then dilated using a scale factor of 1/3. What
scale factor could you use to dilate the origianl
rectangle to get the final rectangle? Explain.

Answers

9514 1404 393

Answer:

  2

Step-by-step explanation:

The second rectangle's dimensions are 1/3 of those after they were multiplied by 6, so are (6)(1/3) = 2 times the original dimensions.

A scale factor of 2 could be used to get the final rectangle.

The answer is 2 I’m pretty sure

Soft drinks are often sold in six-packs of 12-ounce cans and in 2-liter bottles. A liter is about 33.8 fluid ounces.

Which is the greater volume: a six-pack or 2 liters?

A store offers a 2-liter bottle of soft drink for $1.31 and a six-pack of 12-ounce cans for $1.37. Which is the better value (based on price per ounce)?

Answers

Answer:

List some of the given data:

1 L = 33.8 oz.

A) Which one has more volume?

In a six-pack, each can has 12 oz.

Then in total, this is:

6*12oz = 72oz.

In one liter we have 33.8 oz.

Then in two liters, we have two times that:

2L = 2*33.8 oz = 67.7 oz.

Then the sixpack has more volume.

B) Which one has more value?

Here we must divide the volume by the price:

Six-pack:

Volume  = 72 oz.

Price = $1.37

Ratio = 72oz/$1.37 = 52.55 oz/$.

2L bottle:

Volume = 67.7 oz

Price = $1.31

Ratio = 67.7oz/$1.31 = 51.68 oz/$.

You can see that the ratio is larger in the case of the six-pack, this means that you get more ounces for each dollar.

It is necessary to find the times when the temperature is 8° F. Which of the following is the correct equation to do this
(A) 9 - 1 = 8
(B) 9+2 = 8
(C) 9-12 = 8

Answers

the answer is A... 9-1=8

-2/7 x 3/7 as fraction

Answers

Answer:

-6/49

Step-by-step explanation:

this is the answer it is very easy

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Lorenzo caballero was just hired as an engineer for saxon engineering his starting salary is $57600 annually what is his semimonthly salary Solve the equation x/3 9 = 11 1. Luis no es moreno. Es... a. bajo b. rubio c. perezoso 2. Marta no es antiptica. Es... a. tmida b. activa c. simptica 3. Luis no es perezoso. Es... a. trabajador b. Inteligente c. pelirrojo 4. Marta no es tmida. Es... a. extrovertida b. Morena c. atltica 5. Luis no es bajo. Es... a. Romntico b. gracioso 6. Marta no es pelirroja. Es... a. morena b. Perezosa c. bonita C. alto PLEASE EXPLAIN HOW TO GET SOLUTION What is the solution to the system for. PLEASE HELP ASAP! Stage theories and continuity theories of development can be used together to adequately assess changes in growth that occur throughout life.Please select the best answer from the choices providedTFThis is psychology but there no subject for that Which statement best describes the effect of replacing the function f(x) = 2x 2 with the function g(x) = 2x + 5? (1 point)The graph shifts 7 units left.The graph shifts 5 units left.The graph shifts 2 units up.The graph shifts 3 units up. Beth's Diner offers its clients a choice of regular and diet soda. Last night, the diner served 88 sodas in all, 66 of which were regular. What percentage of the sodas were regular? CollegePak Company produced and sold 86,000 backpacks during the year just ended at an average price of $46 per unit. Variable manufacturing costs were $20.00 per unit, and variable marketing costs were $6.68 per unit sold. Fixed costs amounted to $556,000 for manufacturing and $228,800 for marketing. There was no year-end work-in-process inventory. (Ignore income taxes.) Required:Compute CollegePaks break-even point in sales dollars for the year. (Do not round intermediate calculations. Round your final answer up to the nearest whole dollar.)Compute the number of sales units required to earn a net income of $620,000 during the year. (Do not round intermediate calculations. Round your final answer up to nearest whole number.)CollegePak's variable manufacturing costs are expected to increase by 10 percent in the coming year. Compute the firms break-even point in sales dollars for the coming year. (Do not round intermediate calculations. 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Increasing the amount of current that flows through a wire________ the strength of an electromagnet. Does anyone know how to do this ???? Or how to find answers :( How can we confirm that a sketch is fully constrained? *( In AutoDesk Inventor) The value of a share of common stock depends on the cash flows it is expected to provide, and those flows consist of the dividends the investor receives each year while holding the stock and the price the investor receives when the stock is sold. The final price includes the original price paid plus an expected capital gain. The actions of the marginal investor determine the equilibrium stock price. Market equilibrium occurs when the stock's price is -Select-less thanequal togreater thanCorrect 1 of Item 1 its intrinsic value. If the stock market is reasonably efficient, differences between the stock price and intrinsic value should not be very large and they should not persist for very long. When investing in common stocks, an investor's goal is to purchase stocks that are undervalued (the price is -Select-abovebelowequivalent toCorrect 2 of Item 1 the stock's intrinsic value) and avoid stocks that are overvalued.The value of a stock today can be calculated as the present value of -Select-a finitean infiniteCorrect 3 of Item 1 stream of dividends:This is the generalized stock valuation model. We will now look at 3 different situations where we can adapt this generalized model to each of these situations to determine a stock's intrinsic value:1. Constant Growth Stocks;2. Zero Growth Stocks;3. Nonconstant Growth Stocks.Constant Growth Stocks:For many companies it is reasonable to predict that dividends will grow at a constant rate, so we can rewrite the generalized model as follows:This is known as the constant growth model or Gordon model, named after Myron J. Gordon who developed and popularized it. There are several conditions that must exist before this equation can be used. First, the required rate of return, rs, must be greater than the long-run growth rate, g. Second, the constant growth model is not appropriate unless a company's growth rate is expected to remain constant in the future. This condition almost never holds for -Select-maturestart-upCorrect 4 of Item 1 firms, but it does exist for many -Select-maturestart-upCorrect 5 of Item 1 companies.Which of the following assumptions would cause the constant growth stock valuation model to be invalid?The growth rate is zero.The growth rate is negative.The required rate of return is greater than the growth rate.The required rate of return is more than 50%.None of the above assumptions would invalidate the model.-Select-Statement aStatement bStatement cStatement dStatement eCorrect 6 of Item 1Quantitative Problem 1: Hubbard Industries just paid a common dividend, D0, of $1.60. It expects to grow at a constant rate of 2% per year. If investors require a 10% return on equity, what is the current price of Hubbard's common stock? Round your answer to the nearest cent. Do not round intermediate calculations.$ per shareZero Growth Stocks:The constant growth model is sufficiently general to handle the case of a zero growth stock, where the dividend is expected to remain constant over time. In this situation, the equation is:Note that this is the same equation developed in Chapter 5 to value a perpetuity, and it is the same equation used to value a perpetual preferred stock that entitles its owners to regular, fixed dividend payments in perpetuity. The valuation equation is simply the current dividend divided by the required rate of return.Quantitative Problem 2: Carlysle Corporation has perpetual preferred stock outstanding that pays a constant annual dividend of $2.00 at the end of each year. If investors require an 10% return on the preferred stock, what is the price of the firm's perpetual preferred stock? Round your answer to the nearest cent. Do not round intermediate calculations.$ per shareNonconstant Growth Stocks:For many companies, it is not appropriate to assume that dividends will grow at a constant rate. Most firms go through life cycles where they experience different growth rates during different parts of the cycle. For valuing these firms, the generalized valuation and the constant growth equations are combined to arrive at the nonconstant growth valuation equation:Basically, this equation calculates the present value of dividends received during the nonconstant growth period and the present value of the stock's horizon value, which is the value at the horizon date of all dividends expected thereafter.Quantitative Problem 3: Assume today is December 31, 2013. Imagine Works Inc. just paid a dividend of $1.15 per share at the end of 2013. The dividend is expected to grow at 15% per year for 3 years, after which time it is expected to grow at a constant rate of 6% annually. The company's cost of equity (rs) is 9.5%. Using the dividend growth model (allowing for nonconstant growth), what should be the price of the company's stock today (December 31, 2013)? Round your answer to the nearest cent. Do not round intermediate calculations.$ per share