actor Co. can produce a unit of product for the following costs: Direct material $ 8.60 Direct labor 24.60 Overhead 43.00 Total product cost per unit $ 76.20 An outside supplier offers to provide Factor with all the units it needs at $48.40 per unit. If Factor buys from the supplier, the company will still incur 60% of its overhead. Factor should choose to:

Answers

Answer 1

Answer:

Relevant cost to make = Direct materials + Direct labor + Variable overhead

Relevant cost to make = $8.60 + $24.60 + $43.00 (1-60%)

Relevant cost to make = $8.60 + $24.60 + $17.20

Relevant cost to make = $50.40

Outside supplier cost ($48.40) < Relevant cost to make ($50.40). So, Factor should choose to buy because the relevent cost is less than outside supplier cost.


Related Questions

The ____ is equal to the sum of the squares of the market shares of all the firms in an industry. a. market concentration ratio b. Herfindahl-Hirschman index c. correlation coefficient d. standard deviation of concentration e. none of the above

Answers

Answer:

b. Herfindahl-Hirschman index

Explanation:

Option b. Herfindahl-Hirschman index

The HHI is calculated by taking the square of the market share and then adding all the squared values. Thus, the resulting answer will be the HHI magnitude.

The standard deviation for a set of stock returns can be calculated as the: Select one: a. variance squared. b. average squared difference between the actual return and the average return. c. average return divided by N minus one, where N is the number of returns. d. positive square root of the variance. e. positive square root of the average return.

Answers

Answer: d. positive square root of the variance.

Explanation:

Standard deviation is used to show the risk on a set of stocks and it is calculated by taking the square root of the variance of those same returns.

The process of finding the standard deviation is to therefore find the average return first and then find the variance of these returns. At this point, the variance will be positive as it is a squared value. Once this value is then taken to its square root, you will have your standard deviation.

You are attempting to value a call option with an exercise price of $109 and one year to expiration. The underlying stock pays no dividends, its current price is $109, and you believe it has a 50% chance of increasing to $142 and a 50% chance of decreasing to $76. The risk-free rate of interest is 12%. Calculate the call option's value using the two-state stock price model.

Answers

Answer:

The value of the call option today is $14.29

Explanation:

The two-state stock pricing model is one that prices are based on the assumption that there is no arbitrage profit opportunity as well as the fact that the call option's value will be the present value(PV) of the expected future winnings for long call.

Now, value of the call option if the prices go up will be;

142 - 109 = $32

While if the prices go down, it will be;

76 - 109 = -$33

The call option in this case can only be utilized when the market value exceeds the exercise price.

Therefore, the expected winnings value after one year will be;

Value after one year = (32 × 0.5) + (0 × 0.5)

Value after one year = $16

We used 0 in the multiplication because the call wouldn't be utilized for when the prices go down.

one year from now the long call can be expected to earn $16 .

Thus, today the present value of this amount will be the price of the call option if we take into cognizance that here will be no arbitrage profit opportunity.

With risk-free rate of interest is 12%, we have;

PV = 16/1.12 = $14.29

An investment strategy has an expected return of 21 percent and a standard deviation of 15 percent. Assume investment returns are bell shaped. a. How likely is it to earn a return between 6 percent and 36 percent?

Answers

Answer:

68%

Explanation:

Given :

Mean, μ = 21

Standard deviation, σ = 15

Recall :

Zscore = (x - μ) / σ

P(Z =(x - μ) / σ) - P(Z =(x - μ) / σ)

x = 6 and x = 36

P(Z =(36 - 21) / 15) - P(Z =(6 - 21) / 15)

P(Z = 1) - P(Z = - 1)

Using the Z probability calculator :

P(Z = - 1) = 0.15866

P(Z = 1) = 0.84134

0.84134 - 0.15866

= 0.68268

= 0.68

= 68%

Identify the item below that would cause the trial balance to not balance.i. A $1,000 collection of an account receivable was erroneously posted as a debit to Accounts Receivable and a credit to Cash.ii. The purchase of office supplies on account for $3,250 was erroneously recorded in the journal as $2,350 debit to Office Supplies and credit to Accounts Payable.iii. A $50 cash receipt for the performance of a service was not recorded at all.iv. The purchase of office equipment for $1,200 was posted as a debit to Office Supplies and a credit to Cash for $1,200.v. The cash payment of a $750 account payable was posted as a debit to Accounts Payable and a debit to Cash for $750.

Answers

Answer:

The item that would cause the trial balance to not balance is:

v. The cash payment of a $750 account payable was posted as a debit to Accounts Payable and a debit to Cash for $750.

Explanation:

The correct record should have been to credit the $750 in the Cash account.  By this double debit entries for a transaction without a corresponding credit entry, the trial balance cannot balance as the debit side will be greater by $1,500 ($750 * 2) than the credit side.  To correct the error, the Cash account will be credited with $1,500.  One of the $750 cancels the earlier error while the second $750 puts the records straight.

The practice of setting price by increasing the marginal cost of production by some percentage is referred to as: Group of answer choices mark-up pricing percentage pricing rate-of-return pricing average cost pricing

Answers

Answer:

markup pricing.

Explanation:

Markup pricing can be regarded as cost-plus pricing which is pricing strategy that involves addition of cost of the products as well as percentage of the cost of product as a markup to calculate the price of a product/service.the company decides

percentage or markup . It should be noted that The practice of setting price by increasing the marginal cost of production by some percentage is referred to markup pricing.

CWN Company uses a job order costing system and last period incurred $70,000 of actual overhead and $100,000 of direct labor. CWN estimates that its overhead next period will be $85,000. It also expects to incur $100,000 of direct labor cost. If CWN bases applied overhead on direct labor cost, its predetermined overhead rate for the next period should be:

Answers

Answer:

85%

Explanation:

With regards to the above information, the predetermined over head is calculated as seen below.

Predetermined overhead = [(Estimated overhead / Expected labor cost) × 100]

Estimated overhead = $85,000

Expected labor cost = $100,000

Then,

Predetermined overhead = [($85,000 / $100,000) × 100]

Predetermined overhead = 0.85 × 100

Predetermined overhead = 85%

Therefore, the predetermined overhead rate for the next period should be 85%

During fiscal year 2018, BHD Inc. had Cash from Operations of $600 million, and Cash Used for Investing of $1,000 million. During the year the Cash account on the balance sheet decreased by $700 million. This implies that the Financing cash flow was an

Answers

Answer:

the Financing cash flow is  -$300

Explanation:

The computation of the Financing cash flow is given below:

Cash from operations $600

Less: Cash used for investing -$1,000

Cash flow for financing -$300

Decrease in cash -$700

Hence, the Financing cash flow is  -$300

The same should be considered and relevant for determining the Financing cash flow

Three broad categories of definitions of quality are: product quality, service quality, and organizational quality. user based, manufacturing based, and product based. internal, external, and prevention. low-cost, response, and differentiation. Pareto, Shewhart, and Deming.

Answers

Answer:

user based, manufacturing based, and product based.

Explanation:

Quality is the degree in which the commodity meets the customer requirement at the beginning of its life as per ISO 9000

The impact of the quality could experience from the customer. The perception with regard to the quality of the product comes by the design & specifications and the accomplishment of the manufactured standards. The perception related to the service quality would arrive from the design of the process and the standard of the delivery

So as per the given situation, the above should be the answer

TeaLeaver Inc. has requested Jason, a retiring employee, to train new employees on some essential job duties. In a bid to retain Jason for a short period of time, the company has offered him phased retirement, which means that his _____. Group of answer choices

Answers

Answer: offered reduced workload and pay level

Explanation:

Phased retirement is an arrangement in a workplace which allows an employee who is about to retire to continue working but with a reduction in his or her workload and pay level.

Such employees transition eventually from their full time work to their full time retirement. Phased retirement may also allow the employee to take a flexible pension income while he or she still remains in work.

In most countries, contract and temporary employees are much more expensive to lay off than full-time employees.
A. True
B. False

Answers

Answer:

False

Explanation:

A point outside (to the right of) the production possibilities curve of a nation implies that this nation is using its resources fully. implies that there are unemployed resources in this nation. is easily attainable for this nation. is not attainable for this nation. Submit

Answers

Answer:

is not attainable for this nation

Explanation:

The Production possibilities frontiers is a curve that shows the various combination of two goods a company can produce when all its resources are fully utilised.  

The PPC is concave to the origin. This means that as more quantities of a product is produced, the fewer resources it has available to produce another good. As a result, less of the other product would be produced. So, the opportunity cost of producing a good increase as more and more of that good is produced.

Point outside the curve or to the right of the curve means that the production level is not attainable given the level of resources

Points inside the production possibilities curve means that the nations resources are not being fully utilised

Factors that cause the PPF to shift  

1. changes in technology.  

2. changes in available resources.  

3. changes in the labour force.  

Cash dividends of $50,000 were declared during the year. Cash dividends payable were $10,000 and $20,000 at the beginning and end of the year, respectively. The amount of cash for the payment of dividends during the year is Group of answer choices $40,000 $50,000 $70,000 $60,000

Answers

Answer:

$40,000

Explanation:

The computation of the amount of cash for the payment of dividends during the year is shown below:

= Beginning dividends payable + Cash dividends Declared - Ending dividends payable

= $10,000 + $50,000 - $20,000

= $40,000

Hence, the amount of cash for the payment of dividends during the year is $40,000

mention one product you are selling on your sole proprietorship​

Answers

Answer: Examples of sole proprietors include small businesses such as, a local grocery store, a local clothes store, an artist, freelance writer, IT consultant, freelance graphic designer, etc.

Explanation:

Younes Inc. manufactures industrial components. One of its products, which is used in the construction of industrial air conditioners, is known as P06. Data concerning this product are given below: Per Unit Selling price $ 220 Direct materials $ 38 Direct labor $ 1 Variable manufacturing overhead $ 8 Fixed manufacturing overhead $ 16 Variable selling expense $ 4 Fixed selling and administrative expense $ 16 The above per unit data are based on annual production of 4,000 units of the component. Assume that direct labor is a variable cost. What is the current contribution margin per unit for component P06 based on its selling price of $220 and its annual production of 4,000 units

Answers

Answer:

Contribution margin= $169

Explanation:

First, we need to calculate the total unitary variable cost:

total unitary variable cost= direct material + direct labor + variable overhead + variable selling expense

total unitary variable cost= 38 + 1 + 8 + 4

total unitary variable cost= $51

Now, the contribution margin:

Contribution margin= 220 - 51

Contribution margin= $169

The following is a condensed version of the comparative balance sheets for Bonita Corporation for the last two years at December 31.
2020 2019
Cash $ 300,900 $ 132,600
Accounts receivable 306,000 314,500
Investments 88,400 125,800
Equipment 506,600 408,000
Accumulated Depreciation-Equipment (180,200 ) (151,300 )
Current liabilities 227,800 256,700
Common stock 272,000 272,000
Retained earnings 521,900 300,900
Additional information:
Investments were sold at a loss of $17,000; no equipment was sold; cash dividends paid were $51,000; and net income was $272,000.
Prepare a statement of cash flows for 2020 for Shamrock Corporation. (Show amounts that decrease cash flow with either a - sign e.g. -15,000 or in parenthesis e.g. (15,000).)

Answers

Answer:

Bonita Corporation

Statement of Cash Flows for the year ended December 31, 2020:

Operating Activities:

Net income                               $272,000

add loss from sale of investment 17,000

add Depreciation expense          28,900

Changes in working capital:

Accounts receivable                   $8,500

Current liabilities                       -28,900

Net cash from operations     $297,500

Investing Activities:

Sale of investments               $20,400

Purchase of equipment          -98,600

Net cash from investing       -$78,200

Financing Activities:

Payment of dividends          -$51,000

Net cash flows                    $168,300

Explanation:

a) Data and Calculations:

Comparative Balance Sheets

                                                     2020       2019       Changes

Cash                                     $ 300,900 $ 132,600  +$168,300

Accounts receivable               306,000    314,500      -$8,500

Investments                               88,400    125,800    -$37,400

Equipment                              506,600    408,000  +$98,600

Accumulated Depreciation

 -Equipment                           (180,200 )   (151,300 )  +(28,900)

Current liabilities                    227,800    256,700    -$28,900

Common stock                      272,000    272,000        0

Retained earnings                 521,900    300,900  

Additional Information

Loss from sale of investment = $17,000

Net income = $272,000

Dividends = $51,000

Cash Beginning Balance   $132,600

Net cash flows                   $168,300

Cash, Ending balance     $ 300,900

The customs,values,and demographic characteristics of the society in which an organization functions are the principal elements of the political-legal environment.

a. True
b. False

Answers

Answer:

b. False

Explanation:

There are many factors that regulate and affect the proceedings of the business. Environmental factor is one of the factors among them. Internal environment and external environment effects the proceedings of the business. Political, economic, socio-cultural and technological factors are some of the important factors. Political factors comprises of the political decisions taken by the government that can have any form of effect on the business. Socio-cultural environment comprises of the values, beliefs and culture that helping in shaping the working of the business.

how does under investment affect the market​

Answers

Since the stock market is a vote of confidence, a crash can devastate economic growth. Lower stock prices mean less wealth for businesses, pension funds, and individual investors. Companies can't get as much funding for operations and expansion. When retirement fund values fall, it reduces consumer spending.

Answer:

Since the stock market is a vote of confidence, a crash can devastate economic growth. Lower stock prices mean less wealth for businesses, pension funds, and individual investors. Companies can't get as much funding for operations and expansion. When retirement fund values fall, it reduces consumer spending.

Explanation:

Economic Considerations

Business investment can affect the economy's short-term and long-term growth. In the short term, an increase in business investment directly increases the current level of gross domestic product (GDP), because physical capital is itself produced and sold.

If a firm's marginal tax rate is increased, this would, other things held constant, lower the cost of debt used to calculate its WACC. True False

Answers

Answer:

The answer is "True".

Explanation:

The marginal rate is indeed the extra income tax about any dollar earned as income. Its annual tax rate is the total tax paid divided by the total earnings. This marginal rate of 10% will impose a tax of 10 cents on every following income spent. that's why the given statement is true because the cost of debt [tex]= k\times (1-t)[/tex]   and its t value will increase the cost of the decrease.

Assume for the United States that the opportunity cost of each airplane is 50 cars. Which of these pairs of points could be on the United States' production possibilities frontier?a. (200 airplanes, 5,000 cars) and (150 airplanes, 4,000 cars)b. (200 airplanes, 12,500 cars) and (150 airplanes, 15,000 cars)c. (300 airplanes, 15,000 cars) and (200 airplanes, 25,000 cars)d. (300 airplanes, 25,000 cars) and (200 airplanes, 40,000 cars)

Answers

Answer: b. (200 airplanes, 12,500 cars) and (150 airplanes, 15,000 cars)

Explanation:

The opportunity cost of an airplane is 50 cars. This means that if the number of planes produced were reduced by 50, the number of cars should increase by:

= 50 * 50

= 2,500 cars.

In option B, the airplanes were 200 and then reduced by 50 to 150. This led to an increase in cars of:

= 15,000 - 12,500

= 2,500 cars

Option B therefore satisfies the constraints and is correct.

A company must invest in project 1 in order to invest in project 2. Which of the following constraints ensures that project 1 will be chosen if project 2 is invested in?

a. X1 + X2 = 1
b. X1 - X2 < = 0
c. X1 - X2 > = 0
d. X1 + X2 = 0

Answers

The correct answer is C

X1 - X2 > = 0, constraints ensures that project 1 will be chosen if project 2 is invested. Thus, option (c) is correct.

What is company?

The term "company" refers to legal entities that are lawfully registered under the Company Act. The company's major goal is to increase profits while maintaining goodwill. With the assistance of management, the organization was flawlessly run. Employees are compensated by the company.

According to the company was the invested in the two projects.

The equation was the X1 - X2 > = 0.

If X1 = 0, X2 will be 0

A company was the equal spend on the projects.

A company are the not less than zero is the investing.

Both should be greater or equal to 0.

As a result, the X1 - X2 > = 0, constraints ensures that project 1 will be decided if project 2 is invested.  Therefore, option (c) is correct.

Learn more about on company, here:

https://brainly.com/question/29354835

#SPJ5

Draw the Marijuana Market (both a supply and demand) and label everything. You can choose a P1 or Q1 option instead of numbers or choose your own numbers. Shift the curve that would occur in the following market for marijuana if the government imposes an excise tax on marijuana sales. What will be the effect on price and quantity

Answers

Solution :

The diagram depicts the market for Marijuana where DD represents the demand curve and SS represents the supply curve and initial equilibrium occurs at the point [tex]E_1[/tex], where [tex]P_1[/tex] is the initial equilibrium price and [tex]Q_1[/tex] is the initial equilibrium quantity.

An excise tax on marijuana sales will increase the cost of the production of marijuana and shift the supply curve leftwards to S+tax with new equilibrium at point [tex]E_2[/tex] where the equilibrium price of marijuana has increased to [tex]OP_2[/tex] and equilibrium quantity of marijuana has decreased to [tex]OQ_2.[/tex]

The price of crude oil rose to over $100 per barrel in early 2013. What would we expect to see happen to the supply of plastic, which is produced using crude oil

Answers

Answer: The supply of plastic will decrease.

Explanation:

Supply simply means the amount of goods and services that a seller is willing to sell at a particular price and a given time period.

It should be noted that one determinant of supply is cost of raw material. Since there's an increase in the price of crude oil which is used in making plastic, there'll be a reduction in the number of plastic that can be produced, therefore, the supply of plastic will reduce.

Jolene invests her savings in two bank accounts, one paying 3 percent and the other paying 9 percent simple interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual interest is 6015 dollars. How much did she invest at each rate?

Answers

Answer and Explanation:

The computation is shown below:

Let us assume X be the amount invested at 3%

And, Y be the amount invested at 9%

So,  

0.03X + 0.09Y = $6,015 ........(1)

 X = 2Y ...........(2)

Now put the value of X in equation 1  

 0.03(2Y) + 0.09Y  = $6,015

 0.06Y + 0.09Y = $6,015

 0.15Y = $6,015

Y = $40,100

 X = 2 × $40,100 = $80,200

The Assembly Department started the month with 83,000 units in its beginning work in process inventory. An additional 334,000 units were transferred in from the prior department during the month to begin processing in the Assembly Department. There were 34,000 units in the ending work in process inventory of the Assembly Department. How many units were transferred to the next processing department during the month

Answers

Answer:

383,000

Explanation:

Calculation to determine How many units were transferred to the next processing department during the month

Work in process, beginning 83,000

Add Units started into production during the month 334,000

Less Work in process, ending (34,000)

Units completed and transferred out during the month 383,000

(+83,000+334,000-34,000)

Therefore How many units were transferred to the next processing department during the month is 383,000

Richards Corporation had net income of $205,359 and paid dividends to common stockholders of $41,600. It had 53,900 shares of common stock outstanding during the entire year. Richards Corporation's common stock is selling for $63 per share. The price-earnings ratio is

Answers

Answer:

16.54

Explanation:

Calculation to determine what The price-earnings ratio is

First step is to calculate the Earnings per share using this formula

Earnings per share = Net income/No of ordinary shares outstanding

Let plug in the formula

Earnings per share = $205,359/53,900 share

Earnings per share = 3.81

Now let calculate the Price-earnings ratio using this formula

Price-earnings ratio = Market price per share/Earnings per share

Let plug in the formula

Price-earnings ratio = $63/3.81

Price-earnings ratio = 16.54

Therefore The price-earnings ratio is 16.54

Suppose that the required reserve ratio is 0.20. If a customer makes a deposit of $10 million in a bank, then the money supply could potentially

Answers

Answer:

$50 million

Explanation:

Reserve Ratio : they are the percentage of deposits required by the central bank that banks keep

Increase in the total value of checkable deposit is determined by the money multiplier

Money multiplier = amount deposited / reserve requirement

10 / 0.2 = 50 million

Tại sao nói Marketing vừa là khoa học, vừa là nghệ thuật?

Answers

Answer:

Sorry I can't understand.....

The demand function for a certain commodity is given by , where p is the price per unit and q is the number of units. a. At what price per unit will the quantity b. If the price is $1.87 per unit, demanded equal 8 units

Answers

Answer:

(a) The price per unit is $1.83 when the quantity demanded is 8 units

(b) The quantity demanded is approximately 8 units when the price per unit is $1.87

Explanation:

Given

[tex]p = 100e^{-q/2}[/tex]

[tex]p \to[/tex] price per unit

[tex]q \to[/tex] quantity demanded

Solving (a): Price per unit when quantity is 8

This means that we calculate p(8)

We have:

[tex]p(q) = 100e^{-q/2}[/tex]

So:

[tex]p(8) = 100e^{-8/2}[/tex]

[tex]p(8) = 100e^{-4}[/tex]

[tex]p(8) = 1.83[/tex]

Solving (b): Quantity demanded when price per unit is $1.87

This means that:

[tex]p(q) = 1.87[/tex] ---- find q

We have:

[tex]p(q) = 100e^{-q/2}[/tex]

So:

[tex]1.87 = 100e^{-q/2}[/tex]

Divide both sides by 100

[tex]0.0187 = e^{-q/2}[/tex]

Take natural logarithm of both sides

[tex]\ln(0.0187) = \ln(e^{-q/2})[/tex]

[tex]-3.980 = \ln(e^{-q/2})[/tex]

Rewrite as:

[tex]-3.980 = -q/2}*\ln(e)[/tex]

[tex]-3.980 = -q/2[/tex]

Multiply by -2

[tex]7.96 = q[/tex]

[tex]q = 7.96[/tex]

Approximate

[tex]q = 8[/tex]

ba 101 Jane has discovered that she is bored and frustrated working for others. She wants to open a business where she alone will have control and the least interference from government regulation. Which form of business would best meet her needs

Answers

Answer: Sole proprietorship

Explanation:

Sole proprietorship is also called the sole trader or one man business. This is a form of business that's owned and.conteoooed by a single person.

A sole proprietorship is regarded as the easiest form of business to set up due to lack of government regulation. Since Jane wants to have control and the least interference from government regulations, this form of business is appropriate.

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Provide a 3 to 4 sentence overview of the Microsoft Windows features. What are the effect of gaming in the hospitality industry. The function f(t)=5600(1.006)^{10t}f(t)=5600(1.006) 10t represents the change in a quantity over decades. What does the constant 1.006 reveal about the rate of change of the quantity? Round 263.492 to the nearest tenth. HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAPHELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP What is the inverse of the function f(x) = 2x + 1? MARKING BRAINLIEST PLS HELP Select the correct answer. Which graph represents the solution to this inequality? A. B. C . Why did Southern states pass the Black Codes? 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How are you displaying compassion during these times?I have pick 2 and it has to be at least 5 sentences which invention helps farmers plant crops more quickly and efficently Read the passage. Then answer the questions below.Philadelphia is a city known for many things. It is where the Declaration ofIndependence was signed in 1776, and it was also the first capital of the United States.But one fact about Philadelphia is not so well-known: it is home to nearly 3,000 muralspainted on the sides of homes and buildings around the city. In fact, it is said thatPhiladelphia has more murals than any other city in the world, with the exception ofRome. How did this come to be?More than 20 years ago, a New Jersey artist named Jane Golden started a programpairing troubled youth with artists to paint murals on a few buildings around the city.From this small project, something magical happened. The young people involvedhelped to create magnificent pieces of art, but there were other, perhaps more importantbenefits. The young people learned to collaborate and get along with many differentkinds of people during the various steps required to paint and design a mural. Theylearned to be responsible, because they needed to follow a schedule to make sure themurals were completed. They also learned to take pride in their community. It is hard forany resident to see the spectacular designs and not feel proud to be a part of Philadelphia.Take a walk around some of the poorest neighborhoods in Philadelphia,neighborhoods full of broken windows and littered front steps, and you will find beautifulworks of art on the sides and fronts of buildings. Of course the murals are not just in poorneighborhoods, but more affluent ones as well.Special buses take tourists to different parts of the city to see the various murals, whichrange from huge portraits of historical heroes, to cityscapes, to scenes depicting thediverse ethnic groups that call Philadelphia home.As a result of its success, the mural program created by Jane Golden has nowbecome the nations largest public art program and a model for other cities throughout thecountry seeking to help troubled youth.1Questions1) The main focus of the passage isA. an art program designed to help troubled youthB. the many tourists who come to Philadelphia to see muralsC. the reasons why Philadelphia is a unique cityD. how Jane Golden came up with the idea to start a mural program2) As used in paragraph1, the phrase it is said suggests that the author isA. knowingly misleading the readerB. using a quote from someone elseC. referring to something that is widely believed, but may be untrueD. referring to something that he or she does not personally believe3) As used in paragraph 1, the phrase with the exception of Rome means thatA. Rome has fewer murals than PhiladelphiaB. Philadelphia has fewer murals than RomeC. Rome has the most beautiful murals of allD. Rome and Philadelphia are the only cities with murals4) According to the passage, the murals in PhiladelphiaI. draw tourists who want to see themII. instill responsibility and pride in the people who paint themIII. are solely designed by the youth who paint themA. I onlyB. I and II onlyC. II and III onlyD. I, II, and III5) As used in paragraph 3, which is the best definition of affluent?A. popularB. cleanC. well-knownD. wealthy6) Based on information in the passage, the author most likely believes thatA. there are too many murals in PhiladelphiaB. the mural program was an inspirational ideaC. all troubled youth should learn how to paintD. every city in the country should adopt the mural program7) Based on information in the passage, it can be inferred that the author believes the two best reasonsfor other cities to adopt the mural program are toA. beautify their city and draw touristsB. help troubled youth and beautify their cityC. have as many murals as Philadelphia and help troubled youthD. draw tourists and surpass Philadelphia in terms of number of murals8) In order to make this passage more engaging to readers, the author could have includedI. a brief history of PhiladelphiaII. pictures of some of the muralsIII. an interview with a program muralistA. I onlyB. I and II onlyC. II and III onlyD. I, II, and III An unruly student with a spitwad (a lump of wet paper) of mass 20 g in his pocket finds himself in the school library where there is a ceiling fan overhead. He relieves his boredom by throwing the spitwad up at the ceiling fan where it collides with, and sticks to, the end of one of the blades of the stationary ceiling fan. Its horizontal velocity vector is perpendicular to the long axis of the blade. If the fan is free to rotate (no friction at all) and has moment of inertia I=1.4kgm2 , if the spitwad has horizontal velocity 4 m/s, and if the spitwad sticks to the fan blade at a distance of 0.6 m from the rotation axis of the fan, how much time will it take the fan to move through one complete revolution after the spitwad hits it (closest answer)?a. 1minb. 2minc. 3mind. 4mine. 5minf. 6min Question 3Find the equation of the line joining (-2,4) and (3,7)