Helppppppp pleaseeeeeeee

Helppppppp Pleaseeeeeeee

Answers

Answer 1

Answer:

b. 9h

Step-by-step explanation:

Volume of the cube = a*a*a

Volume of the cube = 3*3*h = 9h

But in reality for cube it should be 3*3*3= 27, because of the all edges of a cube are equal.


Related Questions

Help idk how to do this

Answers

Answer:

[tex]y=5[/tex]

Step-by-step explanation:

[tex]BD=16\\BC=16/2=8\\CD=16/2=8[/tex]

[tex]2y-2=8\\2y-2+2=8+2\\2y=8+2\\2y=10\\2y/2=10/2\\y=5[/tex]

[tex]y+3=8\\y+3-3=8-3\\y=5[/tex]

The answer is y=5!!!

Find the domain and range of the following relation. Also determine whether the relation is a function,
{(42)(4,5),(4.7),(4.9)}

Answers

Answer: domain: {2, 3, 4, 6}

range: {–3, –1, 3, 6}

Step-by-step explanation:

DOMAIN: {4}

RANGE: {2,5,7,9}

FUNCTION? NO!

Your domain is always your x-coordinates, which are the first coordinates in a pair.

Your range is always your y-coordinates, which are the second coordinates in a pair.

When listing the points, it's important to remain a relation CANNOT be a function if the x's repeat, so luckily, they do not repeat.

Also, when listing points for your range, remember, if they repeat, you should only count one of the numbers, as you can see from the answer, there were two nines, but instead, I put one.

How many integers are between sqrt 37 and 5*sqrt 11?

Answers

Answer:

There are 10 integers between the given values

Step-by-step explanation:

We start by finding approximations of the two real values given that include square roots of non-perfect-square numbers:

[tex]\sqrt{37} \approx6.0827[/tex]

then this point is located in between the integers 6 and 7 on the x-axis.

[tex]5\,\sqrt{11} \approx 16.58[/tex]

therefore, it is located between the integers 16 and 17 on the number line.

Then between [tex]\sqrt{37}[/tex], and [tex]5\,\sqrt{11}[/tex], we have the following integers:

7, 8, 9, 10, 11, 12, 13, 14, 15, 16.

That is 10 integers

I NEED HELP PLEASEEE \6(2x – 11) + 15 = 3x + 12 Part A: Write the steps you will use to solve the equation, and explain each step. (6 points) Part B: What value of x makes the equation true? (4 points)

Answers

Answer:

x = [tex]-7\frac{2}{3}[/tex]

Step-by-step explanation:

=> 6(2x+11) + 15 = 3x+12

(Expand the brackets)

=> 12x+66+15 = 3x+12

(Adding 66+15)

=> 12x+81 = 3x+12

(Subtracting 81 and 3x to both sides)

=> 12x-3x = 12-81

=> 9x = -69

(Dividing both sides by 9)

=> x = [tex]\frac{-69}{9}[/tex]

(Simplifying)

=> x = [tex]\frac{-23}{3}[/tex]

(Converting it into mixed form)

=> x = [tex]-7\frac{2}{3}[/tex]

So, x = [tex]-7\frac{2}{3}[/tex] will make the equation true.

Answer:hello

The answer is 7

Step-by-step explanation:at first solve this6(2x-11)=12x-66

Then write 12x-66+15

Then we have this 12x-66-15=3x+12

Then we have to write (x) in the left side and number in right side

12x-3x=66-15+129x=63

X=7

Good luck

Consider the function y = f(x) = 3
The values of (1) and ((t), rounded to the nearest hundredth, are
and
, respectively.

Answers

Answer:

f(½) = 1.73

f(¼) = 1.32

Step-by-step explanation: 1.73 is the first one and 1.32 is the second one.

Use the method of equating coefficients to find the values of a, b, and c: (x+4)(ax2+bx+c)=2x3+9x2+3x−4

Answers

Answer:

[tex]a = 2; b = 1\ and\ c = -1[/tex]

Step-by-step explanation:

Given

[tex](x+4)(ax^2+bx+c)=2x^3+9x^2+3x-4[/tex]

Required

[tex]Find\ a,b,c[/tex]

[tex](x+4)(ax^2+bx+c)=2x^3+9x^2+3x-4[/tex]

Open Bracket

[tex](x)(ax^2+bx+c)+(4)(ax^2+bx+c)=2x^3+9x^2+3x-4[/tex]

[tex]ax^3+bx^2+cx+4ax^2+4bx+4c=2x^3+9x^2+3x-4[/tex]

Collect like terms

[tex]ax^3+bx^2+4ax^2+cx+4bx+4c=2x^3+9x^2+3x-4[/tex]

By comparing coefficients; we have

[tex]ax^3=2x^3\\bx^2+4ax^2=9x^2\\cx+4bx=3x\\4c=-4[/tex]

Remove all traces of x from both sides

[tex]a=2\\b+4a=9\\c+4b=3\\4c=-4[/tex]

From the first equation;

[tex]a = 2[/tex]

From the last equation

[tex]4c = -4[/tex]

Divide both sides by 4

[tex]\frac{4c}{4} = \frac{-4}{4}[/tex]

[tex]c = \frac{-4}{4}[/tex]

[tex]c = -1[/tex]

Substitute -1 for c in the third equation

[tex]c+4b=3[/tex]

[tex]-1 + 4b = 3[/tex]

Add 1 to both sides

[tex]1-1 + 4b = 3+1[/tex]

[tex]4b = 4[/tex]

Divide both sides by 4

[tex]\frac{4b}{4} = \frac{4}{4}[/tex]

[tex]b = \frac{4}{4}[/tex]

[tex]b = 1[/tex]

Substitute 2 for a in the second equation [To confirm the value of b]

[tex]b+4(2)=9[/tex]

[tex]b + 8 = 9[/tex]

Subtract 8 from both sides

[tex]b + 8 - 8 = 9 - 8[/tex]

[tex]b = 1[/tex]

Hence;

[tex]a = 2; b = 1\ and\ c = -1[/tex]

prove that the value of the expression (125^2+25^2)(5^2–1) is divisible by 3

Answers

Step-by-step explanation:

[tex]A =(125^{2} + 25^{2} ) (5^{2} - 1)\\A = [(5^{3})^{2} + (5^{2})^{2} ] . (5^{2} - 1)\\A = (5^{6} + 5^{4} ). (5^{2} - 1)\\A = [5^{4} . ( 5^{2} + 5)].(5^{2} - 1) \\A = 5^{4} . (25+ 5). (5^{2} - 1)\\A = 5^{4} . 30. (5^{2} - 1)\\[/tex]

Since 30 is divisible by 3

Thus, A is divisible by 3

Good luck!

[tex](125^2+25^2)(5^2-1)=\\\\=(125^2+25^2)(25-1)=\\\\=(125^2+25^2)\cdot24=\\\\=(125^2+25^2)\cdot8\cdot{\bold{\underline3}}[/tex]

125 and 25 are integer ⇒125² and 25² are integer ⇒(125²+25²) is integer

One of factors of given expression  is 3 so given expression  is divisible by 3

                                            q.e.d.  

x^2-18-6 completing the square

Answers

Answer:

(x+0)^2-24

Step-by-step explanation:

use (b/2)^2 to complete the square.

Answer:

(x+0)^2-24

Step-by-step explanation:

I took ap math XD

PLZ HELP 50 POINTS AND BRAINLIEST!!!!!!!! Karen has a large pile of colored rods. Each color is a different length. She is trying to connect different colored rods to make triangles as part of a hanging sculpture. Here is a list of rod lengths.
Red: 3 inches
Orange: 4 inches
Yellow: 5 inches
Green: 7 inches
Blue: 9 inches
Purple: 12 inches

1. How many triangles can she make with them if each side is a different color? List the combinations that work.



2. Karen was just trying different combinations of colored rods one at a time, placing the colored rods together to see if they make a triangle. What method did you use to determine the triangle options? Which method do you think is better and why?

Answers

Answer:

9 possible combinations: RGB, RYG, RGB, OYG, OGB, OBP, YGB, YBP, GBP

Step-by-step explanation:

We need to consider The Triangle Inequality Theorem which states that the sum of any 2 sides of a triangle must be greater than the measure of the third side.

Let's see what are the possible combinations:

3+4= 7 so possible 3rd side is 5

3, 4, 5 or ROY

3+5= 8 so possible 3 rd side is 7

3, 5, 7 or RYG

3+7= 10 so possible 3rd side is 5 or 9 (5 is repeat of the one above)

3, 7, 9 or RGB

3+9= 12 so possible 3rd side is 7, see one above

3+12= 15 so possible 3 rd side is none

4+5=9 so possible 3rd side is 7

4, 5, 7 or OYG

4+7= 11 so possible 3rd side is 9

4, 7, 9 or OGB

4+9= 13 so possible 3rd side is 12

4, 9, 12 or OBP

5+7= 12 so possible 3rd side is 9

5, 7, 9 or YGB

5+9= 14 so possible 3rd side is 12

5, 9, 12 or YBP

7+9= 16 so possible 3rd side is 12

7, 9, 12 or GBP

So the possible 9 combinations are:

RGB, RYG, RGB, OYG, OGB, OBP, YGB, YBP, GBP

Which model represents a percent error of 25%? A model with 12 squares labeled exact value and 3 squares labeled error. A model with 10 squares labeled exact value and 5 squares labeled error. A model with 9 squares labeled exact value and 3 squares labeled error. A model with 8 squares labeled exact value and 4 squares labeled error.

Answers

Answer:

A model with 12 squares labeled exact value and 3 squares labeled error.

Step-by-step explanation:

The proportion of error is the number of errors divided by the number of trials. The percentage is the proportion multiplied by 100.

A model with 12 squares labeled exact value and 3 squares labeled error.

3/12 = 0.25

0.25*100 = 25%

This is the answer.

A model with 10 squares labeled exact value and 5 squares labeled error.

5/10 = 0.5

0.5*100 = 50%

A model with 9 squares labeled exact value and 3 squares labeled error.

3/9 = 0.3333

0.3333*100 = 33.33%

A model with 8 squares labeled exact value and 4 squares labeled error.

4/8 = 0.5

0.5*100 = 50%

Answer:

A

Step-by-step explanation:

edg 2020

Solve 2x + 4 > 16.
A. X>6
B. X> 10
C. x< 6
D. x<10

Answers

Answer:

x > 6

Step-by-step explanation:

2x + 4 > 16

Subtract 4 from each side

2x + 4-4 > 16-4

2x> 12

Divide by 2

2x/2 > 12/2

x > 6

Answer:

A. X>6

2 (7) + 4 > 16

14 + 4 > 16

18 > 16

solve the equation x^4+7x^2-18=0 and express each solution in a+bi form

Answers

Answer:

The following are the solutions found for x:

+√2 + 0i

-√2 + 0i

0 + 3i

0 - 3i

Step-by-step explanation:

The given equation is:

x⁴ + 7x² - 18 = 0

Rewrite x4 as (x²)²

(x²)² + 7x² − 18 = 0

Let u = x²

u² + 7u − 18 = 0

Factorize:

u² + 9u - 2u - 18 = 0

u(u+9) -2(u+9) = 0

(u-2)(u+9) = 0

(x²-2)(x²+9) = 0

Seperate both equations:

x² - 2 = 0                     x² + 9 = 0

x = ±√2                       x = ±√-9

x = ±√2                       x = ± 3√-1

x = ±√2 + 0i                x = 0 ± 3i

Answer:

C

Step-by-step explanation:

please need help I will be MARKING as BRIANILIST. thank you so much. ​​

Answers

The answer is 7 because u just keep adding 3/4 til ur even with 5 1/4

Answer:

C. 7

Step-by-step explanation:

Custodian has = [tex]5 \frac{1}{4} gallons[/tex]

Ever bookcase needs = [tex]\frac{3}{4} gallons[/tex]

We'll just divide them

Bookcases to be painted = [tex]5\frac{1}{4} / \frac{3}{4}[/tex]

= [tex]\frac{21}{4}* \frac{4}{3}[/tex]

= [tex]\frac{21}{3}[/tex]

= 7

Determine the amount of money you need to invest to have $26,000 dollars in 3 years if you invest it at 2.5% annual interest,
compounded monthly.

Answers

Answer:

$24123.20

Step-by-step explanation:

Remember your compounded interest rate formula: A = P(1 + r/n)^nt

Step 1: Write in known variables

26000 = P(1 + 0.025/12)^36

Step 2: Solve for P

26000 = P(1.0778)

P = 26000/1.0778

P = 24123.2

And we have our final answer!

What is the solution to this equation?

2x + 6 = 20

A. X = 13
B. X = 52
C. X = 28
D. X = 7

Answers

Answer:

d

Step-by-step explanation:

2(7)+6=20

14+6=20

20=20

Answer:

2x + 6 = 20

2x = 20 - 6

2x = 14

Divide both sides by 7

x = 7

That's option D.

Hope this helps.

A planet has a circular orbit around a star. It is a distance of 74,000,000 km from the centre of the star. It orbits at an average speed of 38,000 km/h. How many Earth days does it take the planet to orbit the star? Give your answer to 2 sf.

Answers

Answer:

81.14 Earth days.

Step-by-step explanation:

Step 1

The formula to solve this question is given as

Speed = Distance / Time

In the question, we are given the following values

Distance of the planet = 74,000,000 km

Average Speed of the planet = 38,000 km/h.

Average Speed = Distance / Time

38,000 km/h = 74,000,000 km/ Time

Cross Multiply

38,000 km/h × Time = 74,000,000 km

Divide both sides by 38,000 km/h

Time(hours) = 74,000,000 km /38,000 km/h

Time(hours) = 1947.3684211 hours

This means the circular orbit of the planet around the star takes 1947.3684211 hours.

Step 2

In the question, we were asked to find how many Earth days it takes.

Hence, it is known that

24 hours = 1 (Earth) day

1947.3684211 hours = x days

We would cross Multiply

24 hours × x days = 1947.3684211 hours.

Divide both sides by 24 hours

x days = 1947.3684211 hours ÷ 24 hours

x days = 81.140350879 Earth days.

Therefore, the number of Earth days it takes the planet to orbit the star to 2 significant figures =

81.14 Earth days.

if u help me i will be very thankful!!

Answers

Answer:

C

Step-by-step explanation:

[tex](a^{-2}\cdot 8^7)^2= \\\\a^{-2\cdot 2}\cdot 8^{7\cdot 2}= \\\\a^{-4}\cdot 8^{14}[/tex]

Therefore, the correct answer is C. Hope this helps!

Two jets are flying towards each other from airport that are 1200 km apart. One jet is flying at 250 km.h-1 and the other jet at 350 km.h-1 . If they took off at the same time, how long will it take for the jets to pass each other?

Answers

Answer: 2 hours

Step-by-step explanation:

The total velocity at which the planes are approaching each other is 350 + 250 = 600 km/h

Since time = distance/velocity, time = 1200km/ 600 km/h = 2 hours.

Describe how to find the inverse of the function:
[tex]f(x) = \sqrt{x + 3} [/tex]​

Answers

Answer:

f(x) = x² – 3

Step-by-step explanation:

Lemme try

f(x) = √(x + 3)

y = √(x + 3)

y² = x + 3

y² – 3 = x

Cz we gonna invers that, we'ld turn x to y and y to x, so:

x² – 3 = y

Yeah, inverse of the function is y=x²–3

Answer:

Step-by-step explanation:

What is the value of x?

Answers

Answer:

x = 5

Step-by-step explanation:

Using similar triangles theorem

In similar triangles, ratio of their corresponding sides are equal.

Let the point where a line cuts BC = D

Length (AB/BD) = length(AC/CD)

15/3x = 9/(2x-1)

Cross multiply

15(2x-1) = 9(3x)

Expand the brackets

30x -15 = 27x

Collecting like terms

30x-27x = 15

3x = 15

Divide through by 3

x= 15/3

x= 5

What is the solution set of x for the given equation? x^2/3=x^1/3+4=6 A. -2, -1 B. 2, -1 C. -8, -1 D. 8, -1 E. 2, 8

Answers

Answer:

Interpreting as: x^2/3=x^1/3+4=6 A

Input:

x^2/3 = x^(1/3) + 4 = 6 A

You do not need to line up the decimal points when subtracting two decimal numbers. TrueFalse

Answers

Answer:

false

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Or else it will give you an incorrect calculation

Aliyah wants to estimate the value of the quotient of 5.68 times 10^-3 and 8.54 times 10^-9. Which statement about the value is true?

a. The value will be greater than 1 because (negative 3) divided by (negative 9) is a positive number. A number in scientific notation with a positive exponent has a value greater than 1.

b. The value will be greater than 1 because (negative 3) minus (negative 9) = 6. A number in scientific notation with a positive exponent is greater than 1.

c. The value will be less than 1 because 5.68 divided by 8.54 is less than 1. The negative exponents will make it even smaller.

d. The number will be less than 1 because 5.68 times 10 Superscript negative 3 is a very small number and division always makes the size of a number smaller.

Answers

Answer:

6.65105386*10^5

A

Step-by-step explanation:

(5.68*10^-3)/(8.54 *10^-9

when divide negative over negative it gives positive

10^-3 / 10^-9=10^6

5.68/8.54=0.665

0.665*10^6=6.65*10^5

6.65105386*10^5

Answer:

A.

Step-by-step explanation:

use the quadratic formula to find both solutions to the quadratic equation given below. 3x^2-x+4=0

Answers

Answer: B and D

Step-by-step explanation: A p e x

The value of the quadratic equation  3x² - x + 4 = 0 is B. {1 - √(-47)}/6 and

D. {1 + √(-47)}/6.

What is a quadratic equaton?

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, 3x² - x + 4 = 0.

We know x = {- b ± √(b² - 4ac)/2a}.

∴ x = {+ 1 ± √(1 - 48)}/6.

x = {1 ± √(-47)}/6.

x = {1 + √(-47)}/6 Or {1 - √(-47)}/6.

learn more about quadratic equations here :

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Describe how to transform the graph of f into the graph of g. f(x) = x2 and g(x) = -(-x)2 The graph shifts left one unit. Reflect the graph of f across the y-axis and then reflect across the x-axis. Reflect the graph of f across the y-axis. Reflect the graph of f across the x-axis.

Answers

Answer:

Reflect the graph of f across the y-axis and then reflect across the x-axis.

Step-by-step explanation:

Reflection rules:

Reflection over x -axis:(x,y)→(x,-y)

Reflection over y-axis : (x,y)→(-x,y)

Graph:[tex]y= f(x)=x^2[/tex]

We are given that the graph of f into the graph of g.

[tex]f(x) = x^2[/tex] and [tex]g(x) = -(-x)^2[/tex]

Reflect over y axis.

Reflected graph [tex]=(-x)^2[/tex]

Reflect the obtained graph over x axis

[tex]g(x)=-(-x)^2[/tex]

So, Option B is true

Hence Reflect the graph of f across the y-axis and then reflect across the x-axis.

Answer:

i reflected it over the x and y axis tho

Step-by-step explanation:

bro trust me

A. 4/11
B. 7/11
C. 11/7
D. 11/4

help plsss

Answers

Answer:

Option B. 7/11

Step-by-step explanation:

The following data were obtained from the question:

Sin x = 7/11

Cos(90 – x) =..?

The value of Cos(90 – x) can simply be obtained as follow:

Recall:

Sin x = Cos(90 – x)

Sin x = 7/11

7/11 = Cos(90 – x)

Therefore, the value of Cos(90 – x) is simply 7/11.

How can you be certain that the angles you have created form a square inside the
circle?

Answers

Answer:

Step-by-step explanation:

Make sure that the angles are the same length, also make sure that the diameter of the circle is not smaller than that of the square to find diameter of a circle multiply the radius by 2, to find the radius use this formula  

r=C  over 2π

By Ensure that its angles are identical, and also ensure that circle's diameter is only smaller than the square because then the circle diameter multiplies the range by 2, so how you can find the [tex]\bold{r=C}[/tex] formula of the radius over [tex]\bold{2\pi}[/tex]

The building process is as follows:

Circle diameter is plotted.The method as described in the perfectly straight central axis of a portion is drawn by the bisector of the right angle of the radius. It is also a circular pattern diameter.The four areas on the circle that result are indeed the square vertices.

Please find the attached file.

Learn more:

brainly.com/question/4577551

i neeeeeeeeedd help filling in the blanks

Answers

A. $6
B. 3
C. 11,034
D. 70 mL

Answer:

Step-by-step explanation:

6

2

11,034

70 ml/s

Which of these needs the denominator rationalized? -PLEASE HELP

Answers

Answer:

option b

Step-by-step explanation:

[tex] \sqrt{ \frac{5}{3} } [/tex]

[tex] \frac{ \sqrt{5} }{ \sqrt{3} } [/tex]

the denominator is in the surd form, so it must be rationalized

If the nth term of a number sequence is n squared -5 find the first 3 terms and the 10th term

Answers

Answer:

If the nth term is n^-5,

Then the first term will be (1)^-5=1

Second term will be (2)^-5= 1/32

3rd term=(3)^-5 = 1/243

So, 10th term will be (10)^-5=1/100000

The first term is -4, second term is -1, third term is 4 and 10th term is 95.

What is sequence

a group of connected actions, moves, or things that happen in succession and have a specific order.

Given that,

The nth term of sequence = n² - 5          (1)

To find terms, Substitute values of n in equation (1),

Substitute n=1, the first term = 1-5 = -4

Substitute n=2, the second term = 4-5 = -1

Substitute n=3, the third term = 9-5 = 4

For 10th term, substitute n= 10,

10th term  = 100-5 = 95

First term =-4, second term = -1, third term = 4 and 10th term = 95.

To learn more about Sequence on :

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Preliminary marketing and financial analyses provided the following selling price, first-year administrative cost, and first-year advertising cost:Selling Price $284 per unitAdministrative Cost $500,000Advertising Cost $700,000In the simulation model for the PortaCom problem, the preceding values are constants and are referred to as parameters of the model.(a) An engineer on the product development team believes that first-year sales for the new printer will be 18,500 units. Using estimates of $50 per unit for the direct labor cost and $88 per unit for the parts cost, what is the first-year profit using the engineer's sales estimate?(b) The financial analyst on the product development team is more conservative, indicating that parts cost may well be $101 per unit. In addition, the analyst suggests that a sales volume of 9,500 units is more realistic. Using the most likely value of $50 per unit for the direct labor cost, what is the first-year profit using the financial analyst's estimates? How do i solve this? Please help me find the answer. Which expression is equivalent to 9 x squared minus 2 y + 3 x squared minus 3 y? 6 x squared minus y + 6 x squared minus 5 y 6 x squared minus y + 3 x squared minus 4 y 10 x squared minus 4 y + 2 x squared minus y 11 x squared + 2 y + x squared minus 3 y An Ideal gas is being heated in a circular duct as while flowing over an electric heater of 130 kW. The diameter of duct is 500 mm. The gas enters the heating section of the duct at 100 kPa and 27 deg C with a volume flow rate of 15 m3/s. If heat is lost from the gas in the duct to the surroundings at a rate of 80 kW, Calculate the exit temperature of the gas in deg C. (Assume constant pressure, ideal gas, negligible change in kinetic and potential energies and constant specific heat; Cp =1000 J/kg K; R = 500 J/kg K) Mr. Zeplin wants to make a cash gift to each of his five children, to each of their five spouses, and to each of his 13 grandchildren. Assume the taxable year is 2019. How much total wealth can he transfer to his descendants without making a taxable gift if he is an unmarried individual If you are tired or just cannot seem to understand the material,a.Read the chapter again while studying for the testc.Take a break and return to the chapter laterb.Ask a friend for their notes on the chapterd.All of these You have just been hired as a new management trainee by Earrings Unlimited, a distributor of earrings to various retail outlets located in shopping malls across the country. In the past, the company has done very little in the way of budgeting and at certain times of the year has experienced a shortage of cash. Since you are well trained in budgeting, you have decided to prepare a master budget for the upcoming second quarter. To this end, you have worked with accounting and other areas to gather the information assembled below.The company sells many styles of earrings, but all are sold for the same price- $13 per pair. Actual sales of earrings for the last three months and budgeted sales for the next six months follow (in pairs of earrings):January (actual)... 20,800 June (budget)... 50,800February (actual)... 26,800 July (budget)... 30,800March (actual)... 40,800 August (budget ... 28,800April (budget)... 65,800 September (budget) 25,800May (budget)... 100,800The concentration of sales before and during May is due to Mother's Day. Sufficient inventory should be on hand at the end of each month to supply 40% of the earrings sold in the following month.Suppliers are paid $7 for a pair of earrings. One-half of a month's purchases are paid for in the month of purchase; the other half is paid for in the following month. All sales are on credit, with no discount, and payable within 15 days. The company has found, however, that only 20% of a month's sales are collected in the month of sale. An additional 70% is collected in the following month, and the remaining 10% is collected in the second month following sale. Bad debts have been negligible.Monthly operating expenses for the company are given below:Variable:Sales commissions..................6% of salesFixed:Advertising.....................$199,200Rent................................17,200Salaries........................105,200Utilities.........................6,200Insurance......................2,200depreciation.................13,200Insurance is paid on an annual basis, in November of each year.The company plans to purchase $15,400 in new equipment during May and $39,200 in new equipment during June; both purchases will be for cash. The company declares dividends of $11,000 each quarter, payable in the first month of the following quarter.A listing of the company's ledger accounts as of March 31 is given below:AssetsCash.............................................................................$ 130,400Accounts Receivable($34,840 February sales; $424,320March Sales)................................. 459,1600Inventory...................................................................... 184,240Prepaid insurance......................................................... 21,800Property and equipment(net)....................................... 861,200Total Assets................................................................. $1,656,800Liabilities and Stockholders EquityAccounts Payable......................................................... $177,800Dividends Payable......................................................... 11,000Capital stock................................................................. 880,000Retained Earnings......................................................... 588,000Total liabilities and stockholders equity $1,656,800The company maintains a minimum cash balance of $55,000. All borrowing is done at the beginning of a month; any repayments are made at the end of a month.The company has an agreement with a bank that allows the company to borrow in increments of $1,000 at the beginning of each month. The interest rate on these loans is 1% per month and for simplicity we will assume that interest is not compounded. At the end of the quarter, the company would pay the bank all of the accumulated interest on the loan and as much of the loan as possible (in increments of $1,000), while still retaining at least $55,000 in cash.RequiredPrepare a master budget for the three-month period ending June 30. Include the following detailed budgets:a. A sales budget, by month and in totalb. A schedule of expected cash collections from sales, by month and in total.c. A merchandise purchases budget in units and in dollars. Show the budget by month and in total.d. A schedule of expected cash disbursements for merchandise purchases, by month and in total.2. A cash budget. Show the budget by month and in total. A store down the street is selling a bicycle for 45% off the retail price. The bicycle regularly sells for $115.00. What is the sale price of the game? A. $51.75 B. $61.75 C. $61.25 D. $63.25