If 6+2=8, does 6+2+3=8+3? Why or not

Answers

Answer 1

Answer: Yes

Step-by-step explanation:

Well, since 6+2, 6+2+3 does equal 8 plus 3 because 6+2+3 is basically saying 8+3, but just broken up.


Related Questions

Find the area of the figure.

Answers

the area is 41 ft :)
The total area is 41ft

What are all possible values of x that satisfy the inequality x3−8≥1?

Answers

Answer:

x is greater than or equal to 3

Step-by-step explanation:

I'm gonna assume you meant 3x-8

Treat it as an equation

3x-8 =1, 3x=9, x=3

If its x^3 -8

x^3 -8 =1, x^3=9, x is greater than or equal to the cubed root of 9

solve each system using substitution
y=1/2x+4
x-y=8

Answers

We are given the following system of equations:

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

x - y = 8 ---(2)

We can solve this system of equations by substitution method.

From equation (2), we have:

x - y = 8

Solving for x, we get:

x = y + 8

Substitute this value of x in equation (1):

y = (1/2)(y+8) + 4

Simplifying and solving for y, we get:

y = 2

Now, substitute this value of y back in equation (2) to find the value of x:

x - 2 = 8

x = 10

Therefore, the solution of the given system of equations is (x, y) = (10, 2).

Plot the point where

Answers

follow the order

[tex]\pi /2[/tex] should be in between 0 and [tex]\pi[/tex], therefore it should be right in the middle. every 90 degrees, the circle increases by [tex]\pi /2[/tex] as well.

P=$4000; r=9%;t=2 years; A=?

Answers

Answer:

First, if it's a simple interest problem, convert R percent to r a decimal, r = R/100 = 9%/100 = 0.09 per year, then, solving our equation

I = 4000 × 0.09 × 2

I = 4000 × 0.18

I = $720.00

The simple interest accumulated on a principle of $4,000.00 at a rate of 9% per year for 2 years is $720.00.

Hope this helps. (Compound interest will be added if the equation needs it)

If the quarterly interest at 10.5% is $3,150, the principal amount of a loan is

Answers

The principal amount of the loan is $1,200,000.

What is simple interest?

Simple interest is the amount of borrowing-related interest that is computed using only the initial principal and a constant interest rate.

To find the principal amount of a loan, we need to use the formula for simple interest:

I = Prt

Where I is the interest, P is the principal, r is the interest rate as a decimal, and t is the time in years.

In this case, we know that the interest is $3,150 and the interest rate is 10.5%. We also know that the interest is earned quarterly, so the time period is 1/4 of a year, or 0.25 years.

Substituting these values into the formula, we get:

3150 = P * 0.105 * 0.25

Solving for P, we get:

P = 3150 / (0.105 * 0.25) = $1,200,000

Therefore, the principal amount of the loan is $1,200,000.

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7+x^5 answer is waht i need help

Answers

Answer:

8, 39, 250, 1031

Step-by-step explanation:

(Needing a bit more context but if its sequences then:)

A budding game developer follows gaming trends to make informed decisions about what products to pitch and what console to target to ensure success. Which type of console is most at risk of being discontinued?

handheld
entertainment
interactive
computer

Answers

Handheld consoles are the most at risk of being discontinued compared to other types of consoles.

option A.

Which type of console is most at risk of being discontinued?

Handheld consoles have faced tough competition from the rise of mobile gaming on smartphones and tablets, which has impacted their market share and sales.

For example, Nintendo has faced challenges with their handheld consoles, such as the Nintendo DS and 3DS, which experienced a decline in sales due to the emergence of mobile gaming. As a result, Nintendo shifted its focus to the hybrid console, the Nintendo Switch, which can be used as both a handheld and home console.

That being said, it's important to note that the market for handheld consoles is still significant, and there are still popular handheld devices on the market such as the Nintendo Switch Lite and Sony's PlayStation Vita. The entertainment, interactive, and computer console markets also have their own unique challenges and opportunities, and each type of console has its own risks and benefits.

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how do I use order of operations

Answers

Answer:

pemdas

Step-by-step explanation:

pemdas means Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction

you always want to go left to right

when using pemdas.

example 4^5 • (9-8)

you start from left to right

we would work in parentheses because that is what pemdas said to do.

Can you help on this fast 20 points

Answers

Answer: 15 Liters (15L)

Step-by-step explanation:

The constant of proportionality (also known as k), is for every bottle, there are 2.5 liters. (k = y/x)

5 / 2 = 2.5 , 12.5 / 5 = 2.5, 20 / 8 = 2.5, etc.

So, we need to multiply 6 by 2.5, 6 * 2.5 = 15

For 6 bottles, there are 15 liters

A football player is running straight down the sideline towards the goal line at 8m/s. As he cross the 50-yard line, a defensive player 13.7m inside is running to catch him. At what velocity must the defensive player run in Order to catch the man with the ball before he scores

Answers

oh my God cr7 ans messi are running

40
Kiddie Swings
Must be at most
48 inches
to ride
42
44
46
48
HW: Kiddie Swings
50
52
You must be 48 inches or shorter to ride the kiddie
swings.
Make a graph on the number line to represent the
possible heights for this ride.
Check My Work
Can someone tell me where I can put and plot this

Answers

Number line graph representing the possible heights to ride the kiddie swings is mentioned below.

Describe Number Line?

A number line is a visual representation of the real numbers, arranged in a linear sequence from negative infinity to positive infinity. It is a straight line that is divided into segments or intervals, with each interval representing a specific range of numbers.

The number line is typically drawn with zero in the center, and positive numbers to the right of zero and negative numbers to the left. Each point on the number line corresponds to a specific real number, with the distance between adjacent points representing a unit of one.

Sure, here's a number line graph representing the possible heights to ride the kiddie swings, where the y-axis represents the eligibility to ride and the x-axis represents the height in inches:

   |__________________|__________________|

                      0                                   48

The shaded area on the left side of the number line represents the eligible heights to ride the kiddie swings, which are 48 inches or shorter.

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QUESTION 7
Consider the following argument: If Russia invades the Ukraine, America will impose trade sanctions upon Russia. Russia
invades the Ukraine. So American will impose trade sanctions upon Russia. What is the logical form of this argument?
O a. Modus Tollens
O b. Disjunctive Syllogism
O c. Hypothetical Syllogism
O d. Affirming the consequent
O e. Modus Ponens

Answers

The logical form of this argument in " If Russia invades the Ukraine, America will impose trade sanctions upon Russia" is c. Hypothetical Syllogism.

What is Hypothetical Syllogism?

A hypothetical syllogism is a logical argument that uses two conditional statements, or "if-then" statements, to draw a conclusion. The general form of a hypothetical syllogism is:

If A is true, then B is true.

If B is true, then C is true.

Therefore, if A is true, then C is true.

Here's an example of a hypothetical syllogism:

If it rains, then the ground is wet.

If the ground is wet, then the grass is slippery.

Therefore, if it rains, then the grass is slippery.

Therefore, option C is correct.

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Match the correct term or statement to its description below.
A y = -0.75x² -0.75x+ 1.5
D
-b± √b² - 4ac
2a
B
b²-4ac
Ey=-0.75(x + 2)(x-1)
C -2 and 1
F 2
the number of roots of the equation y=-0.75x²-0.75x+1.5
the factored form of y=-0.75x² -0.75x+1.5
the quadratic formula
the zeros of y = -0.75x² -0.75x+ 1.5
the discriminant
X (image included ) show how you get it please. I cannot figure it out

Answers

Answer:

Step-by-step explanation:

2

-3
21V
0
-1 1 3
-2
zoom in
X
*REQUIRED 1
4. Vocabulary: Identify the vertex of the
parabola.
O (2,0)
) r = 0
Oy=3x-2
Oy=0
O(-2,0)
(0,-4)

Answers

The vertex of the parabola is ( 0, -4). The correct option is F.

What is a vertex of parabola?

A vertex of a parabola is the point at which the parabola changes direction. It is the point on the parabola where the curve reaches its minimum or maximum value, depending on whether the parabola opens upward or downward.

A parabola is a type of conic section, a geometric shape formed by the intersection of a plane and a cone. In particular, a parabola is formed when a plane intersects a right circular cone parallel to one of its generating lines.

From the given graph the vertex of the parabola is,

Vertex = ( 0, -4 )

Therefore, the vertex is (0,-4).

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The mean age of a family of seven is 23 years. The median is 16 years, the modes are 12, years and 45 years, and the range is 35 years. Find the ages of the seven family members

Answers

Let's use the given information to set up equations to solve for the ages of the family members.

We know that the mean age of the family is 23 years, so we can write:

(sum of ages) / 7 = 23

sum of ages = 161

We also know that the median age is 16 years, which means that the ages of the family members can be arranged in order from smallest to largest, and the middle age (or the average of the two middle ages, if there are an even number of ages) is 16. We can use this information to set up an equation:

(3rd smallest age + 4th smallest age) / 2 = 16

3rd smallest age + 4th smallest age = 32

Next, we know that the range of the ages is 35 years, which means that the difference between the largest age and the smallest age is 35. We can use this information to set up another equation:

largest age - smallest age = 35

Finally, we know that the modes (the most common ages) are 12 years and 45 years. This means that there are two family members whose ages are 12 years and two family members whose ages are 45 years. We can use this information to set up two more equations:

number of 12-year-olds + number of 45-year-olds = 4

12 x number of 12-year-olds + 45 x number of 45-year-olds = sum of ages

We now have five equations and five unknowns (the ages of the seven family members). We can solve for these unknowns using algebra. One possible set of ages that satisfies all of the equations is:

2, 2, 12, 16, 20, 45, 64

(Note that the ages do not have to be integers, but this particular set of ages happens to be integers and satisfies all of the given conditions.)

Can anyone help me out with this?​

Answers

The solution to the system of equations is given below.

What is function?

A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.

Given is the system of equations as shown in the image.

{ 1 } -

x - 2y = - 7

2x + 5y = 8

We can write -

x = 2y - 7

Now -

2(2y - 7) + 5y = 8

4y - 14 + 5y = 8

9y = 22

{y} = 22/9

x = 44/9 - 7

x = 44/9 - 63/9

{x} = - 19/9

{ 2 } -

5x - 3y = 16

3x + 6y = 18

We can write -

5x - 3y = 16

x + 2y = 9

So -

x = 9 - 2y

5(9 - 2y) - 3y = 16

45 - 10y - 3y = 16

45 - 13y = 16

45 - 16 = 13y

13y = 29

y = 29/13

x = 9 - 58/13

x = 117/13 - 58/13

x = 59/13

Similarly, we can solve the other two system of equations.

Therefore, the solution to the system of equations is given above.

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10. Jordan went to Europe for vacation. He spent of his time in Spain.
If he was in Spain for 14 days, how long was he in Europe?
Let v represent the number of days he was in Europe.
A v = 14
3
B (14) = v
C v ÷ 14 = ²

Answers

The number of days that he was in Europe will be 42 days.

How to calculate the days spent in Spain

A fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.

Since Jordan went to Europe for vacation. He spent 1/3 of his time in Spain.

If he was in Spain for 14 days, the number of days that he was in Europe will be:

1/3 × x = 14

x = (14 × 3)

x = 42 days

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Jordan went to Europe for vacation. He spent 1/3 of his time in Spain. If he was in Spain for 14 days, how long was he in Europe?

d) Como se observa, al igualar las expresiones y resolver la ecuación que resulta, se
obtiene el mismo valor para x indicado en la tabla. ¿Qué pueden decir de este
valor con respecto a la gráfica?

Answers

Answer:

El valor obtenido para x es una solución a la ecuación y, por lo tanto, es un punto en la gráfica de la función. Esto significa que el punto (x,y) en la gráfica se encuentra en la recta que representa la ecuación

Step-by-step explanation:

I give crown help and more points if you help

Answers

The equation and solution for given situations are

Situation 1: 1.45x + 3.25 = 9.05; 4 pounds

Situation 2: 850 - 15a = 805; 3 days

Situation 3: 12.50 + 1.50r = 39.50; 18 times

Situation 4: 29.95x + 5.95 = 185.65; 6

Situation 5:  y = x - 5; 37 inches

Linear equation:

The linear equation is a mathematical statement that is used to find an unknown quantity or number in a given situation. In this, we used different types of variables to represent the unknown value.

To solve the following situations use different variables and solve them for the value of variables.

Here we have

Situation 1:

A freight company charges $ 1.45 per pound plus a handling fee of $ 3.25. A customer was charged $ 9.05 to ship a package  

Let 'x' be the weight of the package

=> 1.45x + 3.25 = 9.05

=> 1.45x = 5.8

=> x = 4

weight of the package is 4 pounds

Situation 2

A tenant is charged $ 850 for rent on the 5th of the month. For every day they are early, they can deduct $ 15 from the rent. The tenant pays $ 805

Let the tenant pay the rent 'a' number of days early

=> 850 - 15a = 805

=> 15a = 45

=>  a = 3

∴ The tenant paid 3 days early.

Situation 3

Jordan pays $ 12.50 for a city bus pass lowering his bus fare to $ 1.50 per ride. In March, Jordan spent $ 39.50 to ride the city How many times did he ride the bus

Let Jordan ride for 'r' time

=> 12.50 + 1.50r = 39.50

=> 1.5r = 27

=> r = 18

∴  Jordan ride the bus 18 times

Situation 4

Jung purchased several video games priced at $ 29.95 and the shipping cost is $ 5.95. His total purchase is $ 185.65

Let Jung buy 'y' number of games

=> 29.95x + 5.95 = 185.65

=> 29.95x = 179.7

=> x = 6

∴ Jung purchased 6 video games.

Situation 5:

Milo is five inches shorter than his brother, Jayce. Milo is 42 inches tall

Let Jayce is 'x' inches and Milo is 'y' inches

=> y = x - 5

=> 42 = x - 5   [ From the data ]

=> x = 37 inches

Therefore,

The equation and solution for given situations are

Situation 1: 1.45x + 3.25 = 9.05; 4 pounds

Situation 2: 850 - 15a = 805; 3 days

Situation 3: 12.50 + 1.50r = 39.50; 18 times

Situation 4: 29.95x + 5.95 = 185.65; 6

Situation 5:  y = x - 5; 37 inches

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A boy walks 3km at a speed of km/h. If the journey takes 35 min, find the value of v.

Answers

The value of the speed(v) is 5.14 km/hr

What is speed?

Speed is the time rate at which an object is moving along a path, while velocity is the rate and direction of an object's movement. Put another way, speed is a scalar value, while velocity is a vector. Speed is measured in m/s and km/hr

speed = distance / time

distance = 3km

converting the time in seconds to hour,

time = 35 mins = 35/60 = 7/12 hr

speed = 3 ÷ 7/12

= 3× 12/7

= 36/7

= 5.14 km/hr

therefore the speed of the boy is 5.14 km/hr

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Can someone answer this just read the picture? Right answers only please!

Answers

To make the profit of $5000, the temperature should be 290 degrees Fahrenheit.

What is the general equation of a straight line?

The general equation of a straight line is -

y = mx + c

where -

{m} is the slope of the line.

{c} is the {y} - intercept.

Given is a scatter plot as shown in the image.

We can write the equation of the line of best fit as -

{m} = (400 - 0/(60 - 40)

{m} = 400/20

{m} = 20

We can write the y - intercept as -

y = 20x + c

0 = 800 + c

c = - 800

So, the equation of the line of best fit is -

y = 20x - 800

For {y} = 5000, we can write -

5000 + 800 = 20x

5800 = 20x

x = 5800/20

x = 290

Therefore, to make the profit of $5000, the temperature should be 290 degrees Fahrenheit.

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2nd attempt at getting a pair of tens?

Answers

The probability of getting a pair of 10s is 1/26.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes

Here,

Total number of outcomes = 52

Number of outcomes = 2

So, the probability is 2/52

= 1/26

Therefore, the probability of getting a pair of 10s is 1/26.

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Camilla picks a marble at random. Without putting the first marble back, she picks a second marble at random. Are thCamilla picks a marble at random. Without putting the first marble back, she picks a second marble at random.




Are these two events dependent or independent?

Answers

these two events are dependant because the probability of the second event depends on the probability of the first event


Use Tools The tape measure shows inches. Label the
number of inches equivalent to 2½, 3, 3½, and 4 feet.

Answers

The equivalent number of inches is given as follows:

2 and 1/2 feet: 30 inches.3 feet: 36 inches.3 and 1/2 feet: 42 inches.4 feet: 48 inches.

How to obtain the equivalent number of inches?

The equivalent number of inches is obtained applying the proportions in the context of the problem.

A proportion is applied as the unit conversion rate from feet to inches is given as follows:

1 feet = 12 inches.

Hence the measures are converted from feet to inches multiplying the amounts by 12, as follows:

2 and 1/2 feet: 2.5 x 12 = 30 inches.3 feet: 3 x 12 = 36 inches.3 and 1/2 feet: 3.5 x 12 = 42 inches.4 feet: 4 x 12 = 48 inches.

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Please look at the picture below

Answers

The figure is a composite figure compromising of a rectangle OHKN, two triangles ∆LMN and ∆HJK, and a semicircle of arc HP, hence the total area will be derived by the sum of area for each basic shapes.

How to find the area of the composite figure

We can observe from the figure that the lines OL and HK are parallel, likewise the lines OH and NK, so OHKN is a rectangle and its area can be simply derived by multiplying its length by the width.

LMN and HJK are two different triangles and their area can be derived by half of the multiple of their base and height.

we will be left with a semicircle of arc HP and the area is derived using the formula πr²/2, where r is the radius.

In conclusion, the area of the figure will derived by the sum of area for each basic shapes(rectangle OHKN, triangles ∆LMN and ∆HJK, and semicircle of arc HP).

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Hannah drinks 8 fluid ounces of water 8 times a day. How much water, in gallons, does Hannah drink in a day?

Answers

Answer:

Hannah drinks 64 fluid ounces of water per day, which is equivalent to 0.5 gallons.

When Mr Lee puts an equal number of apples into 8 boxes, he has an apple left. When he puts the same number of apples into 5 boxes, he has 7 apples left. How many apples does he have?​

Answers

Answer:

Let's suppose that Mr. Lee puts "x" apples into each box.

According to the first statement, when he puts an equal number of apples into 8 boxes, he has one apple left. This can be represented by the equation:

8x + 1 = n, where n is the total number of apples Mr. Lee has.

Similarly, the second statement says that when he puts the same number of apples into 5 boxes, he has 7 apples left. This can be represented by the equation:

5x + 7 = n

Now we have two equations with two unknowns (x and n). We can solve for x by setting the two equations equal to each other:

8x + 1 = 5x + 7

Subtracting 5x from both sides, we get:

3x + 1 = 7

Subtracting 1 from both sides, we get:

3x = 6

Dividing both sides by 3, we get:

x = 2

So Mr. Lee puts 2 apples into each box. To find the total number of apples he has, we can substitute x = 2 into either of the two equations we started with:

8x + 1 = 8(2) + 1 = 17

So Mr. Lee has 17 apples

ALGEBRA 1 HW!! I GIVE BRAINLYEST FOR ANSWERS​

Answers

The domain and range of h(n) are the set of whole numbers

The pattern of the infinite sequence

The domain and the range of h(n)

Given that

The function h(n), represents the count of houses.

Both n and h(n) can take only whole values.

So, we have the domain and range to be the set of whole numbers

Evaluating h(5) and h(11)

The number of houses is the same as the figure number

This means that

h(5) = 5 and h(11) = 11

The explicit function of h(n)

By the computations above, we have the formula of h(n) to be:

h(n) = n

The values of s(4) and s(7)

Given that

The function s(n), represents the count of segments.

Where the segment is twice the figure number

So, we have

s(4) = 8

s(7) = 14

The growth pattern of s(n)

By the statement above, we have the growth pattern to be a proportional equation with a constant rate of change

The explicit function of s(n)

Based on the statements above, we have

s(n) = 2n

The table of the infinite sequence

Complete the table for f(5) and f(7)

From the table, we can see that

As n increases, the value of f(n) is divided by 2 to get the next term

So, we have

f(5) = 2/2 = 1

f(7) = 1/2/2 = 1/4

The domain of f(n)

The possible values of n are real numbers

So, we have

Domain: All set of real numbers

The observation of the function

Above, we have

As n increases, the value of f(n) is divided by 2 to get the next term

This means that

As n gets larger and larger, the value of f(n) get halved

A doubling sequence g(n)

The value of g(4)

From the question, we have

First term, a = 9

Common ratio, r = 2

This means that

g(n) = 2(9)^n-1

So, we have

g(4) = 2(9)^3

g(4) = 1458

Completing the statements

Based on the function definitions, the statements when completed are

g(n) = g(n - 1) * 2g(n) = g(n - 2) * 4g(n) = g(n - 3) * 8

The value of the ratio

Recall that

g(n) = 2(9)^n-1

So, we have

g(24) = 2(9)^23

g(21) = 2(9)^20

Divide the equations

g(24)/g(21) = 729

Hence, the value of the ratio is 729

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What is the area of this shape

Answers

Answer:45

Step-by-step explanation: see how if you cut off that spike and you plug it in the non-shaded part it fits. Now you’ve got yourself a rectangle so the area is 3+2= 5 x 9= 45

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Determine the LCM of the given polynomials: Leave your answer in factored form. \[ x^{2}+8 x+16 \text { and } x^{2}+11 x+28 \] You have a ball with mass 2.5 kg tied to a rope, and you spin it in a circle of radius1.2 m. You know that the rope can withstand a tension of 130 N before it breaks.How fast can you safely spin the ball without the rope breaking? A certain number is multiplied by 7 and11 is added to the product. The total is67. What is the number? | + (AD) = (2x)(AD) = | x xx=3(AD) =AD = identify one factor responsible for marco polos ability to travel in the caravan mentioned above.explain one effect of the increase in travel along trade networks like those represented in the source above.explain another effect of the increase in travel along trade networks like those represented in the source above. The estimated population, in thousands of people , of city A can be modeled by the function f(t)=15(1. 03) , where is the number of decades (10-year period) since 1980 the estimated population , in thousands of people , of city B can be modeled by the function g(t)=0. 4t+16, where t is the number of decades since 1980 Please HELP! I'll DO ANYTHING!!!! how are the pedals of a bicycle a simple machine? What is the significance of the time period between 1865 and 1880? 17. How many joules of heat are absorbed to raise thetemperature of 435 grams of water at 1 atm from25C to its boiling point, 100.C?A) 4.5 X 10^4 JC) 2.5 X 10^7 JB) 1.4 X 10^5 JD) 7.4 X 10^7 J PLEASE HELP! THIS IS MY LAST QUESTION, BUT I DON'T KNOW HOW TO DO IT!The mass of a substance, which follows a continuous exponential growth model, is being studied in a lab. A sample increases continuously at a relative rate of 7% per day. Find the mass of the sample after six days if there were 552 grams of the substance present at the beginning of the study.Do not round any intermediate computations, and round your answer to the nearest tenth.Also, may you please explain how you got the answer, it would be very helpful because I don't understand how to solve this. Thank you! A store owner purchases boxes of frames to sell in the store. The expression 15/+10represents the total cost of f frames.Which expression also represents the total cost of /frames?A 5(3/+2)B 5(3/+10)C 5(10/+5)D 5(10/+10)DA00OD How many seconds would it take to fill a water balloon with a pint of water if the hose dispenses water at the rate of 20 pints/minute? seconds? Write code that outputs variable numTickets. End with a new line (Java) output 2 and 5 the circumference of a circle is 23r cm. what is exact the area of the circle? three reasons why grade 11 could experience positive changes within friendships due to their renewed focus on academics Is (2,1) a solution to this system of equations?8x+7y=11x+y=3 Pickerington Communications Inc. (PCI) has developed a powerful server that would be used for the companys internet activities. The company has the following capital structure, which is considered optimal. Debt is 30%, preferred stock is 10%, and common stock is 60%. PCIs tax rate is 25%, and investors expect earnings and dividends to grow at a constant rate of 6% in the future. The company paid a dividend of $3.70 per share last year (D0), and its stock currently sells at a price of $60 per share. Ten-year Treasury bonds yield 6%, the market risk premium is 5%, and PCIs beta is 1.3.The following information is available for managerial finance analysis:Preferred stock: New preferred stock could be sold to the public at a price of $100 per share, with a dividend of $9. Flotation costs per share is $5.Debt: The companys long-term debt has a yield to maturity of 9%.Common stock: All common stock will be raised internally by reinvesting earnings.Calculate the companys after-tax cost of debt.Calculate the cost of preferred stock.Calculate the companys cost of common stock using both CAPM method and the dividend growth method.What is the companys weighted average cost of capital (WACC)?The companys management is meeting today to discuss ways to minimize its cost of capital.Identify three factors that the management of PCI cannot control and three factors that it can use to control its cost of capital.Another company, Davis Industries is choosing between a gas-powered and an electric-powered forklift truck for moving materials in its factory. Because both forklifts perform the same function, the firm will choose only one i.e., they are mutually exclusive investments. The cost of capital is 10%. The director of capital budgeting has provided the expected cash flows of the machines as follows:Expected Net Cash FlowsYearMachine AMachine B0($50,000)($50,000)125,00015,000220,00015,000310,00015,00045,00015,00055,00015,000Calculate the payback period and profitability index for each machine.Calculate net present value (NPV) and internal rate of return (IRR) for each machine.Using the NPV technique, which machine should be recommended?The director of capital budgeting has asked you to include risk analysis in your report. He wants you to explain risk in the context of capital budgeting, and how the risk can be analyzed.Explain three types of risk that are relevant in capital budgeting decisions.How is each of these risk types measured?