You have ​$. You put ​% of your money in a stock with an expected return of ​%, ​$ in a stock with an expected return of ​%, and the rest in a stock with an expected return of ​%. What is the expected return of your​ portfolio?

Answers

Answer 1

Answer: 16.26%

Explanation:

The expected return is the weighted average of the returns of the constituent stocks in the portfolio.

Weights.

Stock A = 20%

Stock B

= 30,000/70,000

= 0.4286

Stock C

= 70,000 - 30,000 - (20% * 70,000)

= 70,000 - 30,000 - 14,000

= $26,000

= 26,000/70,000

= 0.3714

Expected return = ( 0.2 * 12%) + ( 0.4286* 15%) + ( 0.3714 * 20%)

= 0.024 + 0.06429‬ + 0.07428‬

= 0.16257‬

= 16.26%


Related Questions

Say that you purchase a house for $150,000 by getting a mortgage for $135,000 and paying a $15,000 down payment. If you get a 15-year mortgage with a 6 percent interest rate, what are the monthly payments

Answers

Answer:

Monthly installment  = $1,139.21

Explanation:

When a loan is to be paid over a period of time using a series of periodic equal installments, it is called loan amortization. Each equal installment is meant to liquidate the principal and the accrued interest.

The amount to be financed by way of loan=

= cost of house - down payment

= $150,000 - 15,000  = $135,000

The monthly equal installment is calculated as follows:

Monthly equal installment-= Loan amount/Monthly annuity factor

Monthly annuity factor  

=( 1-(1+r)^(-n))/r

Monthly interest rate (r)

= 6%/12= 0.5%

Number of months ( n) in 15 years

= 15* 12 = 180

Annuity factor  

= ( 1- (1.005)^(-180)/0.005= 118.504

Monthly installment = 135,000/ 118.504 =1139.21

Monthly installment  = $1139.21

A divisional manager receives a bonus based on 10% of the residual income from the division. During the current year, the division reported revenues of $1,000,000 and expenses of $500,000. The division had $2,000,000 in average operating assets. The minimum required rate of return for the division was 15%. What was the amount of the manager's bonus

Answers

Answer:

The amount of the manager's bonus is $20,000

Explanation:

Residual income =  Net income - ( average operating assets * minimum rate of return)

Net income= Revenues - Expenses  = $1,000,000 - $500,000

Net income = $500,000

Residual income = 500,000 - (2,000,000 * 15%)

= 500,000 - $300,000

= $200,000

Managers bonus = $200,000 * 10%

Managers bonus = $20,000

TB MC Qu. 9-251 Turrubiates Corporation makes a product that ... Turrubiates Corporation makes a product that uses a material with the following standards: Standard quantity 6.7 liters per unit Standard price $ 1.20 per liter Standard cost $ 8.04 per unit The company budgeted for production of 2,500 units in April, but actual production was 2,600 units. The company used 18,000 liters of direct material to produce this output. The company purchased 18,800 liters of the direct material at $1.30 per liter. The direct materials purchases variance is computed when the materials are purchased. The materials quantity variance for April is:

Answers

Answer:

Direct material quantity variance= $696 unfavorable

Explanation:

Giving the following information:

Standard quantity 6.7 liters per unit

Standard price $ 1.20 per liter

Actual production was 2,600 units.

The company used 18,000 liters of direct material to produce this output.

To calculate the direct material quantity variance, we need to use the following formula:

Direct material quantity variance= (standard quantity - actual quantity)*standard price

Standard quantity= 6.7*2,600= 17,420

Direct material quantity variance= (17,420 - 18,000)*1.2

Direct material quantity variance= $696 unfavorable

The following data were taken from the records of Clarkson Company for the fiscal year ended June 30, 2020.
Raw Materials Inventory 7/1/19 $48,100
Factory Insurance $4,700
Raw Materials Inventory 6/30/20 39,700
Factory Machinery Depreciation 16,100
Finished Goods Inventory 7/1/19 96,100
Factory Utilities 28,700
Finished Goods Inventory 6/30/20 19,900
Office Utilities Expense 8,550
Work in Process Inventory 7/1/19 19,900
Sales Revenue 555,000
Work in Process Inventory 6/30/20 19,900
Sales Discounts 4,300
Direct Labor 139,350
Plant Manager’s Salary 61,100
Indirect Labor 24,560
Factory Property Taxes 9,610
Accounts Receivable 27,100
Factory Repairs 1,500
Raw Materials Purchases 96,500
Cash 32,100
Required:
Prepare an income statement through gross profit.

Answers

Answer:

Clarkson Company

Income statement for the year ended June 30, 2020

Sales Revenue                                                               $555,000

Less Costs of Goods Sold :

Opening Finished Goods Inventory            $96,100

Add Cost of Goods Manufactured            $390,520

Less Closing Finished Goods Inventory    ($19,900)  ($466,720)

Gross Profit                                                                       $83,280

Explanation:

First prepare a Schedule of Manufacturing Costs to determine the Cost of Goods Manufactured.

Schedule of Manufacturing Costs

Factory Insurance                                                      $4,700

Raw Materials ($48,100 + $96,500 - $39,700)    $104,900

Factory Machinery Depreciation                              $16,100

Factory Utilities                                                        $28,700

Direct Labor                                                            $139,350

Plant Manager’s Salary                                             $61,100

Indirect Labor                                                          $24,560

Factory Property Taxes                                             $9,610

Factory Repairs                                                          $1,500

Add Opening Work In Process Inventory              $19,900

Less Closing Work In Process Inventory              ($19,900)

Cost of Goods Manufactured                              $390,520

What term is used to identify the difference between the number of units of an item listed on the master schedule and the number of firm customer orders?

Answers

Answer:

Available to promise

Explanation:

Available-to-promise (ATP) refers to a function of a business in which the company provides a response to inquires of the order done by the customer that depended on the availability of the resources. Moreover, the quantities are also available based on the customer request and their delivery on due dates

So, the difference between the number of units listed on the master schedule and the number of customer orders is known as available to promise

Carter & Carter is considering setting up a regional lockbox system to speed up collections. The company sells to customers all over the U.S., and all receipts come in to its headquarters in San Francisco. The firm's average accounts receivable balance is $2.5 million, and they are financed by a bank loan at an 11% annual interest rate. The firm believes this new lockbox system would reduce receivables by 20%. If the annual cost of the system is $15,000, what pre-tax net annual savings would be realized? a. $32,400 b. $29,160 c. $40,000 d. $44,000 e. $36,000

Answers

Answer:

c. $40,000

Explanation:

Reduction in Account Receivables          $500,000

($2,500,000 * 20%)

* Interest rate                                               11%          

Annual saving                                             $55,000

Less: Annual cost of system                     -$15,000

Pretax Net annual savings                         $40,000

rdier attached to a life insurance policy that provides coverage on the insureds family members is called the

Answers

Answer: Other insured rider

Explanation:

The rider that is attached to a life insurance policy that provides coverage on the insureds family members is referred to as the other insured rider.

When more than one member of a particular family is to be provided insurance for, this type of rider is typically used.

IBM expects to pay a dividend of $2 next year and expects these dividends to grow at 6​% a year. The price of IBM is $90 per share. What is​ IBM's cost of equity​ capital?

Answers

Answer:

Cost of equity = 8.22%

Explanation:

Cost of equity = Dividend per share /current market value + growth rate of dividend  

Cost of equity = 2/90 + 6%

Cost of equity = 0.0222 + 6%

Cost of equity =0.0222 + 0.06

Cost of equity = 0.0822

Cost of equity = 8.22%

Which of the following is one of the seven website design elements that marketers can use to produce an effective customer experience online?A. consistencyB. collaborationC. commercializationD. commerceE. creativity

Answers

Answer:

D

Explanation:

The Answer is Commerce

pls thnx and mark me brainliest

Delta Distributors has accounts receivable of $2,750,000 and average daily credit sales of $118,280. The firm offers credit terms of 2/10, net 30. On average, what is the firm's accounts receivable period?

Answers

Answer:

The firm's accounts receivable period is 23.25 days

Explanation:

Accounts receivable period = 365 / Account receivable turnover ratio

When Account receivable turnover ratio = Net sales / Account receivables

Account receivable turnover ratio = 118,280 * 365 days/ 2,750,000

Account receivable turnover ratio = 15.698

Hence, Account receivable period = 365 / 15.698

Account receivable period = 23.25 days

Eakins Inc.'s common stock currently sells for $15.00 per share, the company expects to earn $2.75 per share during the current year, its expected payout ratio is 70%, and its expected constant growth rate is 6.00%. New stock can be sold to the public at the current price, but a flotation cost of 8% would be incurred. By how much would the cost of new stock exceed the cost of retained earnings

Answers

Answer:

1.12%

Explanation:

By how much would the cost of new stock exceed the cost of retained earnings = Cost of new equity - Cost of retained earnings

Cost of retained earnings = ((2.75 * 70%) / 15) + 6.00%  

Cost of retained earnings = ((2.75 * 0.7) / 15) + 0.06

Cost of retained earnings = 0.1283 + 0.06

Cost of retained earnings =0.1883

Cost of retained earnings = 18.83%

Cost of new equity= ((2.75 * 70%) / (15 * (1 - 8%) ) + 6.00%

Cost of new equity= 19.95%

Hence, Cost of new equity - Cost of retained earnings

= 19.95% - 18.83%

= 1.12%

The advantages of using typedef do not include:a. Making programs more portable by allowing data types to be easily changed to meet system specifications.b. Making type names shorter.c. Making programs more readable.d. Increasing the efficiency of accessing struct member variables.

Answers

Answer:

d. Increasing the efficiency of accessing struct member variables.

Explanation:

In the programming language C and C++ there is a keyword i.e typedef that function is to provide a new name. It is to be used to develop an extra name for the other data type but it does not develop a new data type

Here the advantage of using typedef is as follows

1. It allows the data types for meeting the specifications of the system

2. The name would become shorter

3. Readable program

but it does not increase the efficiency

Hence, the last option is correct

The marketing team of a regional airline company plans to launch a new marketing campaign to draw more customers to its flights. Select the first three planning steps the marketing team should take to begin the campaign:

Answers

Explanation:

1. advertising

2. distribution

3. well crafted

Determine the target market, define purpose and objectives for IMC campaign, set S.M.A.R.T. goals are the first three planning steps the marketing team should take to begin the marketing campaign.

What is marketing campaign?

An integrated marketing communication is made up of a number of advertisement messages that all have the same idea and theme. A platform known as an IMC allows a collection of people to combine their views, ideas, and ideologies into one sizable media base.

Marketing efforts can help you find new consumers and raise brand awareness. They also help to establish a reputation, engage customers, and tell your target market about the most recent goods and services. They are therefore critically necessary for any firm.

Therefore, the marketing team's first three planning phases before launching the campaign should be to identify the target market, establish the purpose and objectives for the IMC campaign, and set S.M.A.R.T. goals.

Learn more about the marketing campaign, refer to:

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Blue Stone Builders recently offered to sell 45,000 newly issued shares of stock to the public. The underwriters charged a fee of 8.2 percent and paid Blue Stone Builders the uniform auction price for each of those shares. Which one of the following terms best describes this underwriting?
a) Private placement
b) Best efforts
c) Public rights
d) Dutch auction
e) Market commitment

Answers

Answer: d) Dutch auction

Explanation:

Dutch Auction refers to a type of Public Offering in which the issuing company holds a sort of auction and receives bids on the shares that it has in. Using these bids they are able to set a price for the stock which is the highest price received.

However, the bids are based on the amount an investor can buy in terms of quantity and price. The lowest acceptable bid is then charged on all the stock and is called the Uniform auction price which is what Blue Stone paid thereby making this a Dutch Auction.

True or false: A flexible budget reporting sales volumes at three different levels will have the same fixed costs.

Answers

Answer:

True

Explanation:

A flexible budget is a budget in which you modify the activity levels to reflect changes in sales to help the company adjusts to different circumstances that may occcur. Also, in this budget the fixed costs remain constant and the variable costs change with the activity levels. According to this, the answer is that the statement that says that a flexible budget reporting sales volumes at three different levels will have the same fixed costs is true.

It is true that a flexible budget presenting sales volumes at three levels would have the same fixed expenses.

Flexible budget:

A flexible budget is one in which activity levels are adjusted to reflect sales performance, allowing the organization to respond to unforeseen events.

Furthermore, in this budget, fixed expenditures stay constant while variable costs vary according to activity levels. The assumption that a flexible budget reporting sales volumes at three distinct levels will have the same fixed expenses.

Find out more information about 'Flexible budget'.

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Given the following data for Vinyard Corporation:
D=1000
V=4000
E=3000
V=4000

Calculate the proportions of debt (D/V) and equity (E/V) for the firm that you would use for
estimating the weighted average cost of capital (WACC):

A. 40% debt and 60% equity
B. 50% debt and 50% equity
C. 25% debt and 75% equity
D. none of the given values

Answers

Answer:

C

Explanation:

D / V = 1000 / 4000

Dividing 1000 by 4000 gives 0.25 = 25%

E / V = 3000 / 4000

Dividing 3000 by 4000 gives 0.75 = 75%

In a short-run model of a large open economy with a floating exchange rate, net capital outflow ______ as the domestic interest rate increases and is just equal to the ______ in net exports. Group of answer choices increases; decrease decreases; increase increases; increase decreases; decrease

Answers

Answer:

1. decreases

2. decrease

Explanation:

When Domestic interest rate increases, as a result of floating exchange rate, the net capital outflow decreases which in turn leads to most goods to be used internally, instead of exporting it abroad, there by reducing the level of exports.

Hence, All things being equal, it is assumed or believed that, In a short-run model of a large open economy with a floating exchange rate, net capital outflow DECREASES as the domestic interest rate increases and is just equal to the DECREASE in net exports.

Question 7 of 10 How much should you save each year for maintenance on your home? $500 Whatever your home inspector recommends 7% of your gross income At least 1% of the purchase price

Answers

Answer: At least 1% of the purchase price

Explanation:

The 1% rule is a popular practice that estimates that 1% of a house´s purchase price should be expected to be required for maintenance every year. This is the case for a house that is less than five years old. Houses between 5 and 25 years old could range between a 1 and 4% annual maintenance budget, depending also on its location, the market, its size, and the impact of the weather.

Which clause in a mortgage allows a lender to increase the interest rate? A.) Defeasance B.) Escalation C.) Acceleration D.) Exculpatory

Answers

Answer:

A

Explanation:

The principle that each World Trade Organization member must accord to all other member countries tariff treatment no less favorable than it provides to any other country is known as the __________ principle.

Answers

Answer:

Most favoured nation principle

Explanation:

Most favoured nation (MFN) clause of the World Trade Organisation requires that when a nation trades with others the concessions, immunities, and privileges granted to one nation should be the the same granted to all WTO members.

It discourages discrimination where one nation in international trade is favoured above another.

For example if Ghana reduces tariff on trades with South Africa it is expected that tariffs to other WTO nations will also be reduced to 3%.

Exceptions to this principle are for developing nations, regional free trade areas, and custom unions.

In decision making under ________, there are several possible outcomes for each alternative, and the decision maker knows the probability of occurrence of each outcome

Answers

Answer: risk

Explanation:

In the decision making under risk, there are several possible outcomes for each alternative, and the decision maker knows the probability of occurrence of each outcome.

Unlike in uncertainties whereby the decision maker won't know the probability of the occurrence of the outcomes, in risk, one is aware.

Kartman Corporation makes a product with the following standard costs: Standard Quantity or Hours Standard Price or Rate Standard Cost Per Unit Direct materials 6.5 pounds $ 7.00 per pound $ 45.50 Direct labor 0.6 hours $ 24.00 per hour $ 14.40 Variable overhead 0.6 hours $ 4.00 per hour $ 2.40 In June the company's budgeted production was 3,400 units but the actual production was 3,500 units. The company used 22,150 pounds of the direct material and 2,290 direct labor-hours to produce this output. During the month, the company purchased 25,400 pounds of the direct material at a cost of $170,180. The actual direct labor cost was $57,021 and the actual variable overhead cost was $8,931. The company applies variable overhead on the basis of direct labor-hours. The direct materials purchases variance is computed when the materials are purchased. The labor efficiency variance for June is:

Answers

Answer:

Direct labor time (efficiency) variance= $4,560 unfavorable

Explanation:

Giving the following information:

Standard= Direct labor 0.6 hours $ 24.00 per hour $ 14.40

Actual production= 3,500 units.

2,290 direct labor-hours were used.

To calculate the direct labor efficiency variance, we need to use the following formula:

Direct labor time (efficiency) variance= (Standard Quantity - Actual Quantity)*standard rate

Standard quantity= 3,500*0.6= 2,100

Direct labor time (efficiency) variance= (2,100 - 2,290)*24

Direct labor time (efficiency) variance= $4,560 unfavorable

The labor efficiency variance is $4,560 unfavorable.

Calculation of the labor efficiency variance:

The following formula should be used for determining the same.

Direct labor time (efficiency) variance= (Standard Quantity - Actual Quantity)*standard rate

Here,

Standard quantity= 3,500*0.6= 2,100

So,

Direct labor time (efficiency) variance= (2,100 - 2,290)*24

= $4,560 unfavorable

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Amy and Maxwell Walker have decided to invest their investment dollars: 40 percent in stocks, 30 percent in bonds, and 30 percent in cash equivalents. Over the past year, the market value of their bonds increased while the market value of their stocks declined. Using the asset allocation model, they should now

Answers

Answer:

C.use some of their cash equivalents to buy more stocks.

Explanation:

Data provided in the question

Stock = 40%

Bond = 30%

cash equivalent = 30%

The Market value of the bond rise

The market value of the stock falls

Based on the above information,

According to the asset allocation model, mostly everyone uses some of their cash equivalents i.e bank account, marketable securities to purchased more stock

Hence, the option c is correct

​If a beneficiary wants to make sure that the life insurance proceeds being paid out are not exhausted before he or she dies, the beneficiary would choose which of the following settlement options?
a. Fixed amount
b. Fixed income
c. Fixed time
d. Fixed period

Answers

Answer:

Option d. Fixed period

Explanation:

time is very essential. Anytime the policy owner specifies payment to be guaranteed for a specific period regardless of who is the beneficiary, policy owner or who receive the payment,is the fixed period settlement option.

Anything that occur  to annuity after the owner's death is dependent on the type of annuity and its payout plan.

A fixed-period,  is that which is for a certain period of time. the annuity guarantees payments to the annuitant for a set length of time. example is about  10, 15, or 20 years and case payments will continue to be paid to the beneficiary until the time given or  period is due or when  account’s balance reaches zero.

Mr. Green contracts with Mr. Brown to repair his roof. Mr. Brown is about 75% done when the deadline of the contract occurs. Which legal standard would prevent Mr. Brown from being considered to be in breach of his agreement with Mr. Green?

Answers

Answer:

Substantial performance standard

Explanation:

Substantial performance standard refers to the legal standard in which the good and faith attempt is made so that the requirements of the contract or agreement could be performed

even if is not meet the requirements so we assume that the performance should be completed if its main motive is fulfilled

Therefore in the given case, the substantial performance standard is the correct option that fits to the situation

Four companies were sued by customers for injuries sustained from faulty products. All four companies settled out of court for $400,000. For which of the following companies is this event the LEAST material?a. A company with assets totaling $36 billion.b. A company with assets totaling $40 billion.c. A company with assets totaling $15 billion. d. A company with assets totaling $50 billion.

Answers

Answer:

d. A company with assets totaling $50 billion.

Explanation:

In order to calculate the material impact of the lawsuit on each company, we must divide the settlement by total assets. In this case, we do not need to do the math, we simply have to select which company has the most assets. The more assets a company has, the lesser the material impact of any unfavorable settlement.

Kenny, Inc., is looking at setting up a new manufacturing plant in South Park. The company bought some land six years ago for $7.9 million in anticipation of using it as a warehouse and distribution site, but the company has since decided to rent facilities elsewhere. The land would net $10.7 million if it were sold today. The company now wants to build its new manufacturing plant on this land; the plant will cost $21.9 million to build, and the site requires $940,000 worth of grading before it is suitable for construction.

Required:
What is the proper cash flow amount to use as the initial investment in fixed assets when evaluating this project?

Answers

Answer:

$33,540,000

Explanation:

initial investment:

opportunity cost of land (resale price of land) = $10,700,000building cost of the facilities = $21,900,000other expenses related to the site (grading) = $940,000total $33,540,000

The purchase cost of the land is considered a sunk costs, since it is not relevant now. What is relevant is the price at which the land could be sold at the moment of starting the project.

The amortization of bond premium on long-term debt should be presented in a statement of cash flows (using the indirect method for operating activities) as a(n)

Answers

Answer:

Operating Activity

Explanation:

The Indirect method, reconciles the Operating Profit to the Operating Cash Flow by adjusting the following items (1) Non Cash flow items previously added or deducted from Operating Profit and (2) Changes in Working Capital items.

Amortization of bond premium is an item of non-cash flow that was previously deducted from Operating Profit and needs to be added back.

In an international communication process carried out by a company, the sales force of the company that conveys the encoded message to the intended receiver acts as a(n)

Answers

Answer: message channel

Explanation:

In an international communication process carried out by a company, the sales force of the company that conveys the encoded message to the intended receiver acts as a message channel.

The sales force are said to act as a.mesage channel because they are the ones that pass the message across to the intended receiver.

based on the characteristics of constructive conflicts, which of the following would help a manager create constructive conflicts during a debate?
1. Support the weaker members during a debate
2. Explain conflict in terms of interpersonal incompatabilities
3. Support the stronger memebrs during the debate
4. Keep the debate focused on the issue
5. Maintain competitive oreientation on the debate

Answers

Answer:

The correct answer is: 4. Keep the debate focused on the issue

Explanation:

A constructive conflict can be understood as different points of view that arise in an organization on the same issue.

Therefore, it can be a great way for the organization to enrich itself with new ideas, thoughts and different ways of carrying out actions that will help the organization to achieve its objectives and goals.

Therefore, the most suitable alternative for building a constructive conflict during a debate is for the manager to always focus on the issue discussed, and not for the debate to turn to support due to interpersonal relationships.

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In one of his first letters to his Uncle, Robin writes, "They have a list of about 100 rules about email. We can't say this - we can't say that - all about security...No real problem because we don't know anything." Based on this quote, what is Robin's feeling about his experience so far? A. He is angry that he has to follow so many rules in the war. B. He is confused about why they have so many rules and so little information. C. He is frightened by how different everything is outside of the United States. D. He regrets joining the military and wants to go home. Please I need the right answer ASAP. When Louis Martin was born, her father deposited $2000 in a savings account in her name at a savings and loan association (S&L). At the time, the S&L paid 6% interest compounded semi annually. After 10 years, the S&L changed to a rate of 6% compounded quarterly. What was the value of the account after 18 years when the money was withdrawn to help pay for her college expenses According to the following reaction, how many moles of ammonia will be formed upon the complete reaction of 31.2 grams of nitrogen gas with excess hydrogen gas ? nitrogen(g) + hydrogen(g) ammonia(g) What is the slope of the line shown below? A. -13/6B. 6/13C. 13/6D. -6/13- Which of the following describes the 'accident' in the accident chain?.The circumstance leading to the accidentB.The result from an unsafe act or unsafe health habit.The consequence of one or more risk factors D.The result of the accident Three years from now Tom will be twice as old as Jean and two years ago the sum of their ages was 26. How old is Tom now? Please please help :(((( Which of the following is true about sorting functions? A. The most optimal partitioning policy for quicksort on an array we know nothing about would be selecting a random element in the array. B. The fastest possible comparison sort has a worst case no better than O(n log n) C. Heapsort is usually best when you need a stable sort. D. Sorting an already sorted array of size n with quicksort takes O(n log n) time. E. When sorting elements that are expensive to copy, it is generally best to use merge sort. F. None of the above statements is true. What was the first conflict theory in sociology? .is the highest education degree available at a community college. For which function is the ordered pair (4, 12) not a solution? y = 3 x y = 16 - x y = x + 8 y = 8 - x What is fitness, according to the American College of Sports Medicine? A. Fitness is the ability to carry out daily tasks without being overly tired. B. Fit people do not have the energy to complete everyday work. C. Fitness is the ability to perform only very light levels of physical activity. D. Fitness is the ability to perform moderate levels of exercise only while you are young. In the image above the ruler is measuring in centimeters. The blue cylinder falls somewhere between 2.7cm and 2.8cm according to the ruler. Since we can estimate the last digit I would say that the length of the cylinder is 2.76cm. Since I am estimating any number 2.72cm or 2.78cm could also be correct. Why would 2.755 not be a correct measurement according to estimating the last digit? Radar is used to determine distances to various objects by measuring the round-trip time for an echo from the object. (a) How far away (in m) is the planet Venus if the echo time is 900 s? m (b) What is the echo time (in s) for a car 80.0 m from a Highway Patrol radar unit? s (c) How accurately (in nanoseconds) must you be able to measure the echo time to an airplane 12.0 km away to determine its distance within 11.5 m? ns How do -11.5 and -9.5 compare? Choose the correct symbol.-11.5 _ -9.5A. Find the value of x. 10.7 LAB: Fat-burning heart rate Write a program that calculates an adult's fat-burning heart rate, which is 70% of 220 minus the person's age. Complete fat_burning_heart_rate() to in a class of 40 students, 30 students read chemistry, 40 students read physics, if all students read at least one of the subject, find the probability a students is selected at random will read only chemistry 8. Mark chose a number between 0.437 and 0.436 and multiplied it by 4. Then, hesubtracted 20 from this product. Next, he took three-fourths of this difference and got y.Finally, he took the original number, added twelve to it, tripled it, and subtracted it from y.What was his final answer?A. -56B. -51C. 16D. 21E. Not enough information All the simple machines make work easier to do by changing the _____ or _____ of a force. A. size; type B. work; type C. size; direction D. type; direction