If v=5 and w=24, what is 5v+w?

Answers

Answer 1

Answer:

49

Step-by-step explanation

5v + w

5(5) + 24

25 + 24

49

First you have to substitute the variables with numbers given (v=5 ; w=24)

Start with multiplying 5*5 which equals 25, then finish off with adding the two numbers.

Answer 2

Answer:

5v+w = 5(5)+24 = 49

Step-by-step explanation:

As you can see we have two variables

v & w

And we have no coefficient to w but we do to v which is...

5

So... we must replace the variables (v & w) replacing them with the numbers you gave us, 5 for v and 24 for w.

The sentence is

5v+w= ?

If you replace v with 5 it becomes...

5(5)+w

When seeing a number & a variable or numerous variables that placed right next to each other, it means that the number and the variable(s) are to be multiplied together.

So now we have 5(5)+w meaning 5 times 5 plus the variable w

The second value you gave us is 24 which is supposed to be subbed in for w.

So... when we replace w with 24 we get...

5(5)+24

Now we evaluate the expression.

According to PEMDAS... since we have no parenthesis or exponents we do m, multiplication first. 5*5=25

We are now left with...

25+24

25 + 24 = 49.

So...

5v+w is now 5(5)+24 which is equal to...

49

Hopefully this helped you!

Have a good day!


Related Questions

ASAP!!! PLEASE help me solve this question! No nonsense answers, and solve with full solutions.

Answers

Answer:

when two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°.

Step-by-step Explanation:

The relationship between an intercepted arc and an inscribed angle is given as:

the measure of the intercepted arc = twice the inscribed angle that intercepts it.

Also, by virtue of this, when two inscribed angles intercepts the same arc, both inscribed angles are said to be congruent. And the measure of both angles equal the measure of the arc they both intercept.

Therefore, if the measure of an arc, that is intercepted by 2 inscribed angles, is given as 75°, both inscribed angles equal 75° as well. Thus, each of the inscribed angles is half the measure of the intercepted arc.

Therefore, the statement that is true about inscribed angles is: "when two inscribed angles in one circle both equal 75°, the two angles must intercept the same arc that measures 75°."

The table shows the relationship between the cost of renting a car from the Wrecko Car Rental Company and the number of days for the rental. Draw a scatter plot and find an equation for the line of best fit. Use the equation to determine the cost of renting a car for 20 days. Days Cost 1 $44 2 $67 3 $90 4 $113 7 $182 10 $251

Answers

Answer:

The cost of renting the car for 20 days is $481

Step-by-step explanation:

The table of values can be formed as follows;

Day,   Cost

1,         $44

2,        $67

3,        $90

4,        $113

7,        $182

10,      $251

From the given values and the scatter plot, there is a straight line relationship between the cost and the number of days of rental of a car.

The line of best fit is therefore a straight line and from the constant increase in cost ($23) for each extra day of rental, it is possible to find the slope, m, of the data as follows;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

(x₁, y,) and (x₂, y₂) can be taken as (1, $44) and (3, $90) respectively to give;

[tex]Slope, \, m =\dfrac{90-44}{3-1} = \dfrac{46}{2} = 23 \ as \ stated \ above[/tex]

The equation in slope and intercept form is therefore, y  - 44 = 23×(x - 1), which gives;

y - 44 = 23·x - 23

y = 23·x - 23 + 44 = 23·x + 21

The cost of renting the car for 20 days is then;

10×23 + 21 = $481

The cost of renting the car for 20 days = $481.

PLEASE help me solve this question! No nonsense answers please!

Answers

Answer: The fourth option. if you round, 200 * 20, 1800 is found out to be much too low.

Step-by-step explanation:

Answer:

Her estimate is too low because 200 * 20 = 4000

Step-by-step explanation:

Take 19 and round to 20

Take 212 and round to 200

20 * 200 =4000

Her estimate is low

the smallest square number which can be divisible by 11 and 5​

Answers

Answer:

3025

Step-by-step explanation:

let's look at it in this concept.

For a number to be divisible by 11 and 5. it must be a multiple of the LCM of 11 and 5.

LCM of 11 and 5=55

therefore the number is 55x, where x is a positive integer.

it is a said that the number is a perfect square

therefore the square root of 55x must be an integer.

[tex] \sqrt{55x} = \sqrt{5 \times 11 \times x} [/tex]

the smallest value of x to make 55x a perfect square is....

[tex]x = 11 \times 5 = 55[/tex]

Therefore the number is.... .

[tex]55x = 55(55) = 3025[/tex]

sweet right

BRAINLIEST PLS....

Of the 600 people at a music festival, 420 had attended the previous year. How many people
out of 100 had attended the previous year?

Answers

Answer:

70 people

Step-by-step explanation:

divide both answers by 6

Answer:

70

Step-by-step explanation:

i-ready BOIIIII

What is the solution to the equation 1 over the square root of 8 = 4^(m + 2)? A) m = − 15 over 4 B) m = − 11 over 4 C) m = 5 over 4 D) m = 9 over 4

Answers

Answer:

B) m = -11/4

Step-by-step explanation:

What is the solution to the equation 1/sqrt(8) = 4^(m+2)

1 over the square root of 8 = 4^(m + 2)?

A) m = − 15 / 4

B) m = − 11 / 4

C) m = 5 / 4

D) m = 9 / 4

1/sqrt(8) = 4^(m+2)   apply law of exponents

1/2^(3/2) = (2^2)^(2m+4)

2^(-3/2) = (2)^(2m+4)

-3/2 = 2m+4

2m = -11/2

m = -11/4

Triangle H N K is shown. Angle H N K is 90 degrees. The length of hypotenuse H K is n, the length of H N is 12, and the length of N K is 6. Law of cosines: a2 = b2 + c2 – 2bccos(A) What is the value of n to the nearest whole number? 10 13 18 21

Answers

Answer:

13

Step-by-step explanation:

From the question, we are given a triangle HNK with an angle of 90°

The length of hypotenuse H K is n,

the length of HN is 12

the length of N K is 6.

From the above values, obtained in the question, we can see that this is a right angled triangle.

We are asked to find the length of the hypotenuse.

We can use Pythagoras Theorem of solve for this.

c² = a² + b²

where c = HK = n

a = NK = 6

b = HN = 12

c² = 6² + 12²

c² = 36 + 144

c² = 180

c = √180

c = 13.416407865

Approximately to the nearest whole number = 13

Therefore the value of HK = n = 13

We can also use Law of Cosines as given in the question to solve for this.

a² = b² + c² - 2ac × Cos A

where c = HK = n

a = NK = 6

b = HN = 12

Hence

c² = a² + b² - 2ab × Cos C

c = √ (a² + b² - 2ab × Cos C)

Where C = 90

c = √ 6² + 12² - 2 × 6 × 12 × Cos 90

c = 13.42

Approximately to the nearest whole number ≈ 13

Therefore the value of HK = n = 13

Answer:

B) 22 units

Step-by-step explanation:

edge 2020 :)

The members of an Olympiad team contributed
a total of $ 1.69 for refreshments for their
weekly practices. Each member contributed the
same amount and paid for his or her share in
five coins. How many nickels were contributed
by all of the members?

Answers

Answer:

26 nickels

Step-by-step explanation:

Given that

Total contributed = $1.69

Number of coins = 5

based on the above information,

The number of nickels to be contributed is

Here first we have to determine the prime factors of 169 i.e 13 and 13

This represents that there are 13 member gives their $0.13 per person so it would be $1.69

Also there are 13 cents out of which 3 cents would be 3 pennies the remaining 10 cents would be 2 nickels

So the 13 people contributed to 2 nickels

Therefore,  it would be

= 13 × 2

= 26 nickels

the lines on a 2 cup liquid measuring cup divide each cup into eighths. if you measure 1 3/4 cups of water between which two quantities can you be certain the exact measurement will be?

Answers

Answer:

1 3/4 cups is between the 13th and 15th lines from the bottom.

Step-by-step explanation:

The bottom of the cup has no line and corresponds to 0 eights.

1st line up: 1/8 cup

2nd line up: 2/8 cup    this is also called 1/4 cup

3rd line up: 3/8 cup

4th line up: 4/8 cup     this is also called 1/2 cup

5th line up: 5/8 cup

6th line up: 6/8 cup     this is also called 3/4 cup

7th line up: 7/8 cup

8th line up: 8/8 cup     this is also called 1 cup

9th line up: 9/8 cup

10th line up: 10/8 cup    this is also called 1 1/4 cup

11th line up: 1 3/8 cup

12th line up: 1 4/8 cup     this is also called 1 1/2 cup

13th line up: 1 5/8 cup

14th line up: 1 6/8 cup    this is also called 1 3/4 cup

15th line up: 1 7/8 cup

16th line up: 1 8/8 cup    this is also called 2 cups

1 3/4 cups is between the 13th and 15th lines from the bottom.

Which of the following are true statements about David Hilbert?
He invented the point.
He was a German mathematician.
n He developed Hilbert's axioms.
He wrote a blography on Euclid.
Hilbert's Improvements to geometry are still used in textbooks today.

Answers

Answer:

he invented the point

he was a German mathematician

he  Hilbert's improvements to geometry are still used in textbooks today

he developed Hilbert's axioms

Step-by-step explanation:

Answer:

He was a German mathematician.

If only one is true then you're good to go.

Whoops never mind.. :/

Suppose you are paid an annual salary, plus a bonus of 20% on annual sales over $500,000. Consider the two functions f(x) = x − 500,000 and g(x) = 0.2x where x equals your annual sales. Which function composition gives the bonus amount when your sales are over $500,000?

A) x(f(g))

B) x(g(f))

C) g(f(x))

D) f(g(x))

Answers

Answer:

C. [tex]g\,\circ \, f (x) =g(f(x))[/tex]

Step-by-step explanation:

Let be [tex]f(x) = x-500000[/tex] the excedent on annual sales and [tex]g(x) = 0.2\cdot x[/tex] the bonus factor, to determine the bonus amount a composition of [tex]f(x)[/tex] is [tex]g(x)[/tex] must be done. That is:

[tex]g\,\circ \, f (x) =g(f(x))[/tex]

Hence, the right answer is C.

what is the equation of the translated function, g(x), if f(x)=x^2

Answers

Answer

The vertex moved 5 units right and 2 unit up.

Hence..

g(x)=(x-5)²+2

Answer:

g(x) = (x - 5)² + 2

Step-by-step explanation:

f(x) = x²

g(x) = (x - 5)² + 2

Find the missing probability. P(B)=720,P(A|B)=14 ,P(A∩B)=?

Answers

Answer:

7/80

Step-by-step explanation:

Given that: P(B) = 7 / 20, P(A|B)= 1 / 4

Bayes theorem is used to mathematically represent the conditional probability of an event A given B. According to Bayes theorem:

[tex]P(A|B)=\frac{P(A \cap B)}{P(B)}[/tex]

Where P(B) is the probability of event B occurring, P(A ∩ B) is the probability of event A and event B occurring and P(A|B) is the probability of event A occurring given event B.

[tex]P(A|B)=\frac{P(A \cap B)}{P(B)}\\\\P(A \cap B)=P(A|B)*P(B)\\\\Substituting:\\\\P(A \cap B)=1/4*7/20=7/80\\\\P(A \cap B)=7/80[/tex]

Joe is responsible for reserving hotel rooms for a company trip. His company changes plans and increases how many people are going on the trip, so they need at least 50 total rooms. Joe had already reserved and paid for 16 rooms, so he needs to reserve additional rooms. He can only reserve rooms in blocks, and each block contains 8 rooms and costs $900. Let B represent the number of additional blocks that Joe reserves. 1) Which inequality describes this scenario? 2)What is the least amount of money that Joe can spend to get the amount of rooms they need? Work not needed!

Answers

Answer:

The answer is below

Step-by-step explanation:

1) The number of rooms Joe company needs is 50. Let the number of rooms needed be n, this can be represented by the inequality:

n ≥ 50

Joe has already reserved 16 rooms, therefore the number of additional rooms needed to be reserved = 50 - 16 = 34 rooms. At least 34 rooms have to be reserved, if B is the number of additional blocks that Joe reserves, the inequality is:

B ≥ 34

2) Each block contains 8 rooms therefore the minimum number of block (a) needed to be reserved = 34/8 = 4.25 = 5 to the next whole number. Therefore the minimum number of blocks needed is given as:

a ≥ 5

Since each block cost $900, let c represent the minimum amount of money needed, therefore the least amount of money needed is given as:

c = $900(5) = $4500

c ≥ $4500

Here, we are required to determine which inequality describes the scenario in the question and the least amount of money that Joe can spend to get the amount of rooms they need.

(1) The inequality which best describes the scenario is; B ≥ 4.25.

(2) The least amount of money that Joe can spend to get the amount of rooms they need is; $4500

First, since they need at least 50 total rooms and Joe had already reserved 16 rooms.

Therefore, Joe needs to reserve an additional 34 rooms to completely accomodate people who are going on the trip.

And since, he can only reserve rooms in blocks with each block containing 8 rooms;

The number of blocks he needs to reserve; B ≥ 4.25.

Therefore, since only whole blocks can be reserved, Joe needs to reserve 5 blocks.

Therefore, since one block costs $900, then, 5 blocks will cost $900 × 5 = $4500.

Read more:

https://brainly.com/question/19003099

PLS HELP IMMEDIATLYRewrite the equation by completing the square. 4 x^{2} +8 x +3 = 0 in (x+_)^2=_

Answers

Answer:

(x + 1)^2 = 1/4

Step-by-step explanation:

Here, we want to rewrite the equation by completing the square.

The equation to rewrite is;

4x^2 + 8x + 3 = 0

4x^2 + 8x = -3

divide through by the coefficient of x^2 which is 4

That will give ;

x^2 + 2x = -3/4

Now divide the coefficient of x by 2, square it and add to both sides of the equation.

We have;

x^2 + 2x + 1^2 = -3/4 + 1^2

x^2 + 2x + 1 = -3/4 + 1

x^2 + 2x + 1 = 1/4

= (x + 1)^2 = 1/4

Is it true or false that this is the graph of f(x) = 3^x?

Answers

Answer: False, this is not the graph of f(x) = 3^x

=====================================================

Explanation:

Plug in x = 0 to get

f(x) = 3^x

f(0) = 3^0

f(0) = 1

That means (0,1) is on the graph. So far so good.

-------

But let's try x = 1

f(x) = 3^x

f(1) = 3^1

f(1) = 3

Meaning (1,3) should be on the graph of y = 3^x. Instead, the graph shows (1,4) is on the red curve. We don't have a match.

The red curve shows the equation y = 4^x.

For which function is the ordered pair (4, 12) not a solution? y = 3 x y = 16 - x y = x + 8 y = 8 - x

Answers

if an ordered pair is a solution, it should satisfy the equation.

see the first option

[tex]y=3x[/tex] , if you put $x=4$ and $y=12$

you'll get $12=12$ which is true.

now the last option, $y=8-x$ put $x=4$ and $y=12$

$12=8-4\implies 12\ne4$ thus it is not a solution.

So option 4 is correct

Answer:

Last one:

y = 8 - x

Step-by-step explanation:

y = 8 - x

Replace x and y in this function

12 = 8 - 4

12 = 4 (impossible)

So, (4 , 12) is not solution for: y = 8 - x

A pet store has m tanks of fish. Each tank has 35 fish. Using m, write an expression for the total number of fish in the store

Answers

Answer:

35m

Step-by-step explanation:

Each tank has 35 fish and the total fish tanks is m, so to find the total you will need to do 35*m.

This is an expression because it does not have anything it is equal to.

Expression: No equal sign

Equation:Equal Sign

Hope this helps!:)

When sketching a normal curve, what

value represents one standard deviation

to the right of the mean for the data set?

56, 54, 45, 52, and 48.

Answers

Answer:

The value representing one standard deviation  to the right of the mean is 55.

Step-by-step explanation:

The provided data set is:

S = {56, 54, 45, 52, and 48}

Compute the mean and standard deviation as follows:

[tex]\mu=\frac{1}{n}\sum X=\frac{1}{5}\times [56+54+45+52+48]=51\\\\\sigma=\sqrt{\frac{1}{n}\sum (X-\mu)^{2}}=\sqrt{\frac{1}{5}\cdot {(56-51)^{2}+...+(48-51)^{2}}}=\sqrt{\frac{1}{5}\times 80}=4[/tex]

Compute the value representing one standard deviation  to the right of the mean as follows:

[tex]X=\mu+1\cdot \sigma[/tex]

    [tex]=51+(1\times 4)\\=51+4\\=55[/tex]

Thus, the value representing one standard deviation  to the right of the mean is 55.

To bake 12 cookies, I use 2 quarts of milk. There are 2 pints in a quart. How many pints of milk do I need to bake 3 cookies?

Answers

Answer:

1 pint

Step-by-step explanation:

You need 2 * 2 = 4 pints to make 12 cookies. Since 3 cookies is 1/4 of 12 cookies, you would need 1/4 * 4 = 1 pint of milk to make 3 cookies.

Answer:

1 pint

Step-by-step explanation:

12c=4p

divide both sides by 4

3 cookies needs 1 pint!!!!

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

       ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                      PEACE!

An object has a mass of 1 kilogram and a density of 10 grams per cubic centimeter. Which of the following statements is true?
The volume of the object is 100 cubic centimeters.
The volume of the object is 100 cubic meters.
The volume of the object is 100 cubic kilometers
The volume of the object cannot be determined because the shape of the object is not given

Answers

Answer:

The volume of the object is 100 cubic centimeters (100cm³)

Someone pleaseeee help me!!!! I’m stuck

Answers

Answer:

Hey there!

1/2 can also be written as 8/16.

Thus, starting from 0, count 8 tick marks, and place a point there.

3/16 is just 3/16.

Thus, starting from the 8th tick mark (where you left off in the first part) count three more tick marks to the 11th tick mark.

This shows us that 8/16+3/16=11/16.

Hope this helps :)

Answer:

so 1/2+3/16 is 11/16

Step-by-step explanation:

count the lines until u get to 11 and thts where u put the point.

hope this helps.have a good day

what is the diamater of a circle
the area of a circle is 144π m^2

Answers

Answer:

24 meters

Step-by-step explanation:

The area of a circle can be found using the following formula.

[tex]a=\pi r^2[/tex]

We know that the area is 144pi m^2.

[tex]a= 144\pi m^2[/tex]

Substitute 144pi m^2 in for a.

[tex]144\pi m^2= \pi r^2[/tex]

We want to find the diameter. First, we must find the radius. We have to get the variable, r,  by itself.

Divide both sides of the equation by pi.

[tex]144\pi m^2/ \pi = \pi r^2 / \pi[/tex]

[tex]144\pi m^2/ \pi = r^2[/tex]

[tex]144 m^2= r^2[/tex]

The variable, r , is being squared. The inverse of a square is the square root. Take the square root of both sides of the equation.

[tex]\sqrt{144 m^2} =\sqrt{r^2}[/tex]

[tex]\sqrt{144 m^2} =r[/tex]

[tex]12 m= r[/tex]

The radius of the circle is 12 meters, but the question asks for diameter. The diameter is twice the radius.

[tex]d= r*2[/tex]

The radius is 12 m.

[tex]d= 12 m*2[/tex]

Multiply

[tex]d= 24 m[/tex]

The diameter of the circle is 24 meters.

solve the equation 2x + 4 > 16

Answers

Answer:

x > 6

Step-by-step explanation:

2x + 4 > 16

2x > 16 - 4

2x > 12

x > 12/2

x > 6

Which of the following statements is true according to the measurements in the diagram?

Answers

Let's look at the corresponding ratios:

[tex]\frac{AB}{ED}=\frac{24}{30}=\frac{4}{5}\\

\frac{BC}{DC}=\frac{16}{20}=\frac{4}{5}\\

\frac{AC}{EC}=\frac{21}{28}=\frac{3}{4}\\[/tex]

And we see that the three aren't equal.

Hence, $\Delta ABC$ and $\Delta EDC$ are not similar.

Answer:

°[Option 3] => Triangle ABC and Triangle EDC are not similar

Step-by-step explanation:

The angles nor the sides are congruent in this image.

Please mark Brainliest

Express as a trinomial.
(3x+5)(2x+9)

Answers

The answer is 6x2+37x+45

Answer:

[tex]6x^{2} +37x+45[/tex]

Step-by-step explanation:

Hello!

A trinomial is a algebraic expression containing 3 terms

To turn this into a trinomial we have to multiply everything by each other

              3x              

3x * 2x = 6x^2

3x * 9 = 27x

              5              

5 * 2x = 10x

5 * 9 = 45

Now we put it all together

6x^2 + 27x + 10x + 45

Combine like terms

6x^2 + 37x + 45

The answer is [tex]6x^{2} +37x+45[/tex]

Hope this helps!

Convert the following:
4 liters is equivalent to
a0 quarts

Answers

Answer:

4.22675 quarts

Step-by-step explanation:

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

       ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                      PEACE!

Please need help ASAP please need help 100 points please

Answers

Answer:

1/32 and 1/64

p and v

Step-by-step explanation:

Answer:

a. 1/32 then 1/64

b. P then V

Step-by-step explanation:

A is multiplied by 2 every time.

While b is doubled every time as well.

Loreto quería decorar un viejo tambor metálico para usarlo de paragüero. Para ello, contaba con un grueso cordón que pretendía pegar en el contorno del borde superior del tambor. Sabiendo que el diámetro de este era 58,5 cm, cortó el cordón, dejando el trozo más largo de 175,5 cm de longitud de modo que le alcanzara justo, pero le faltaron 7 cm. ¿Cuál fue el error de Loreto?

Answers

Answer:

u should put the question in English to so English people can also help

marking as brainliest:)

Given that f(x)=-x+4 and g(x)=-2x-3, solve for f(g(x)) when x=2.

Answers

Answer:11

Step-by-step explanation:

g(2)=-7

f(-7)=11

Answer:

f(g(x))= 11

Step-by-step explanation:

This question asks us to find f(g(x)) when x=2. Therefore, we can substitute 2 in for x.

f(g(x)), x=2

f(g(2))

First, we must find g(2).

We know that g(x)= -2x-3. We can plug 2 in for each x and solve.

g(x)= -2x -3, x=2

g(2)= -2(2)-3

First, multiply -2 and 2.

g(2)= -4-3

Then, subtract 3 from -4.

g(2)= -7

Let's return to our function: f(g(2)). We know that g(2)= -7. Thus, we can substitute -7 in for g(2).

f(g(2)), g(2)= -7

f(-7)

Now we must find f(-7). We know that f(x)= -x+4. We can plug -7 in for x and solve.

f(x)= -x+4 , x= -7

f(-7)= -(-7) +4

f(-7)= 7+4

Add 7 and 4

f(-7)= 11

Our final answer is: f(g(x))= 11

Other Questions
Excerpt from Let's Get It Started!Gillian WhiteSome people do not think that recycling paper is important. Paper Falls apart easily and becomes part of the earth quickly after itis buried. For this reason, some people do not think that throwing away paper is harmful. But what they forget is that trees areused to make paper. In fact, every person uses about two trees' worth of paper each yearl Trees are so important to nature. Theyhelp keep the air clean. Plus, many animals make their homes in trees. By recycling paper instead of throwing it away, we canmake the world a better place.The lines, They help keep the air clean, Plus, many animals make their homes in trees. By recycling paper instead of throwing it away,we can make the world a better place," are an example of which logical fallacy?A)ad hominemB)false causationC)circular reasoningD)sweeping generalization Click on the box to choose whether the sentence is correct (C), contains a comma splice (CS), or is a fused sentence(FS)Don't stack twelve boxes on top of one another, it's the twelfth one that will knock down the pile. Megan leaves her house at 4:15 to go soccer practice. It takes her 35 minutes to get there. Her practice is two hours long. Then, she drives home, which takes 40 minutes. What time does she get back home? Economic globalization refers to the economic of nations resulting from mutual why would it be essential for the successful A/V technician to participate in additional coursework, presentations, and seminars offered by equipment manufacturers as well as annual conferences attended by colleagues in the industry Two long parallel wires are a center-to-center distance of 1.30 cm apart and carry equal anti-parallel currents of 2.40 A. Find the magnitude of the magnetic field at the point P which is equidistant from the wires. (R = 5.00 cm). why is english class an essential part of education Hankins Corporation has 8.1 million shares of common stock outstanding, 300,000 shares of 4.1 percent preferred stock outstanding, par value of $100; and 185,000 bonds with a semiannual coupon rate of 5.5 percent outstanding, par value $2,000 each. The common stock currently sells for $57 per share and has a beta of 1.15, the preferred stock has a par value of $100 and currently sells for $99 per share, and the bonds have 18 years to maturity and sell for 107 percent of par. The market risk premium is 6.6 percent, T-bills are yielding 3.3 percent, and the companys tax rate is 24 percent.A. What is the firms market value capital structure?B. If the company is evaluating a new investment project that has the same risk as the firms typical project, what rate should the firm use to discount the projects cash flows?Solve for:A. DebtPreferred StockEquityB. Discount Rate What is the correct definition of a hemisphere?a line of longitudethe mid point between the North and South Polesone half of the Eartha line of latitude 1.If the manufacturer is considering production quantities of 40,000 units or 80,000 units, assuming 90% of product will be sold and 10% will be salvaged, what is the profit per unit What are some of the challenges African Americans had to overcome in the decades after slavery? I need help factoring this question, Factor 4(20) + 84. The product of 2 rational numbers is -16/9 . If one of the numbers is -4/3 find the other plz fast Who was the richest man till now in history How did hostility and drought affect Jamestown 1. (16 points) True or False, one point each, Write down F (false) or T (true). ___ (01) In a mechanical design, it is recommended to use standard size/dimension to overcome uncertainties in stress or material strength During the Cuban Missile Crisis, President John F. Kennedy and Premier Nikita Khrushchev managed to avert a disaster. Which disaster did they avert? Joy Manufacturing Company needs to know its anticipated cash inflows for the next quarter by month. Cash sales are 25 percent of total sales each month. Historically, sales on account have been collected as follows: 50 percent in the month of the sale, 30 percent in the month after the sale, and the remaining 20 percent two months after the sale. Gross sales for the quarter are projected as follows: January $20,000 February $10,000 March $40,000 Accounts receivable on December 31 were $30,000. Joy's expected cash collections for March would be:________. A. $37,000 B. $32,000 C. $30,250 D. $47,200 Scores on a college entrance examination are normally distributed with a mean of 500 and a standard deviation of 100. What percent of people who write this exam obtain scores between 350 and 650? Which verb form correctly completes this sentence? Es indispensable que las autoridades _________ todo lo necesario para proteger a los animales. A. haga B. hagan C. hagas D. hagamos