The new owner of a beauty shop is trying to decide whether to hire one, two, or three beauticians. She estimates that profits next year (in thousands of dollars) will vary with demand for her services, and she has estimated demand in three categories, low, medium, and high. NUMBER OF BEAUTICIANS DEMAND LOW MEDIUM HIGH One 50 75 100 Two 0 100 100 Three (100 ) 70 300 If she feels the chances of low, medium, and high demand are 50 percent, 20 percent, and 30 percent respectively, what are the expected annual profits for the number of beauticians she will decide to hire?

Answers

Answer 1

Answer:

the expected annual profit for the number of beauticians is $70,000

Explanation:

The computation of the expected annual profit for the number of beauticians is shown below:

= 50 × 0.50 + 75 × 0.20 + 100 × 30

= 25 + 15 + 30

= 70

= $70,000

hence the expected annual profit for the number of beauticians is $70,000. The same is to be considered

All other information that are mentioned should be ignored


Related Questions

Suliman manages a manufacturing plant in North Carolina. Customers are unhappy over late deliveries. Inventories of some parts are high. Others are critically short. Senior management told him he has 3 months to become profitable or the plant will close. In this case, the plant’s income statement is:________

a. a tactical control.
b. a behavioral control.
c. an operational control.

Answers

Answer:

a. a tactical control.

Explanation:

A tactical control can be defined as a collection of operations used to meet the objectives of an organization.

In this scenario, Suliman manages a manufacturing plant in North Carolina. Customers are unhappy over late deliveries. Inventories of some parts are high. Others are critically short. Senior management told him he has 3 months to become profitable or the plant will close. In this case, the plant’s income statement is a tactical control.

Answer: an operational control

it is not easy to rule India with only one government​

Answers

True ...........................

Toyota was recently able to endure challenging times that required massive recalls affecting several million of its vehicles. Toyota has relied on its _____ to survive and continue to prosper. a. brand extension.
b. family branding.
c. individual branding.
d. Brand equity.
e. Brand loyalty.

Answers

Answer:

d is your answer

Explanation:

When you listen, you are the___________ of the message.​

Answers

Answer:

reciever

Explanation:

when you listen you are the receiver and there after you should give the relevant feed back

Which product/service type should be used when setting up products sold by a company that uses a perpetual inventory system?

a. Product
b. Non-inventory part
c. Service
d. Inventory part

Answers

Answer:

inventory part bro

hope this helps plz mark brainliest give like and five star rating

Jeannie plans to deposit $6,000 in a money market sinking fund at the end of each year for the next four years. What is the amount that will accumulate by the end of the fourth and final payment if the sinking fund earns 9% interest

Answers

Answer:

$27,439

Explanation:

Calculation for the amount that will accumulate by the end of the fourth and final payment

First step is to find the FV of an ordinary annuity of $1 using the table

FV=?

Number of years= 4

interest= 9%

Hence,

FV of of an ordinary annuity of $1 =4.5731

Now let calculate the that will accumulate by the end of the fourth and final payment

End of the fourth and final payment Accumulated amount = $6,000 × 4.5731

End of the fourth and final payment Accumulated amount = $27,439

Therefore the amount that will accumulate by the end of the fourth and final payment will be $27,439

The company you work for has decided to double stock their 1200 head WF curtain-sided barns. What changes/adjustments would you make to the ventilation controller settings to accommodate the extra pigs? What possible deficiencies could be created by double stocking?

Answers

Answer:

Changes to make in ventilation controller settings to accomodate the extra pigs

More width area of ventilation is required

Room temperature should be maintained.2-3 F

Ceilings should not be there as by double stockings more pigs be there so no ceilings provide more area to ventilate.

Deficiencies created by double stocking

Decrease on ADG by increase split put age,( p< 0.00)

Lower ADFI also by 7%

Growth rate decreased to 10 wk on after weaning process.

Larson Lumber makes annual deposits of $500 at 6% compounded annually for 3 years. What is the future value of these deposits?

Answers

Answer: $‭1,591.8‬0

Explanation:

This is an annuity as the deposits are constant.

The Future value of an annuity is;

= Annuity * Future value interest factor of annuity, 6% , 3 years

= 500 * 3.1836

= $‭1,591.8‬0

Suppose Value Home and Garden Imports issued 400,000 shares of $0.10 par common stock at $4 per share. Which journal entry correctly records the issuance of this stock?


a. Debit Credit
Common Stock—$0.10 Par Value 1,600,000
Cash 40,000
Paid-ln Capital in Excess of Par—Common 1,560,000

b.
Common Stock—$0.10 Par Value 1,600,000
Cash

c.
Cash 1,600,000
Common Stock—$0. 10 Par Value 40,000
Paid-ln Capital in Excess of Par—Common 1,560,000

d.
Cash 1,600,000
Common Stock—$0. 10 Par Value 1,600,000

Answers

Answer:

The correct general entry is,

Cash                                                 1,600,000 Dr

Common Stock-$0.10 Par value                     40000 Cr

Paid-ln Capital in Excess of Par—Common    1,560,000 Cr

Option c is the correct answer

Explanation:

The issuance of stock will mean an inflow of cash to the company as a result. The cash received will be equal to the number of shares issued multiplied by the value at which they are issued.

Thus, cash received will be = 400000 * 4  =  $1600000

As the asset is increasing, the cash will be debited.

On the other side of the transaction, the issuance of stock is always recorded at the par value in the common stock account and any amount received in excess of par value is credited to the Paid-in-Capital in excess of par-Common Stock account.

Thus, Common stock will be credited by = 400000 * 0.1 = $40000

The remaining = 1600000 - 40000 = 1560000 will be credited to Paid-in-Capital in excess of par-Common Stock account.

Sheffield Corp. traded machinery with a book value of $978480 and a fair value of $906000. It received in exchange from Ivanhoe Company a machine with a fair value of $1023780. Sheffield also paid cash of $102378 in the exchange. Ivanhoe’s machine has a book value of $978480. What amount of gain or loss should Sheffield recognize on the exchange (assuming lack of commercial substance)?

Answers

Answer:

Gain $72,480

Explanation:

Calculation for the amount of gain or loss that Sheffield should recognize on the exchange

Using this formula

Gain/Loss= Book value – Fair value

Let plug in the formula

Gain/Loss= $978,480 – $906,000

Gain=$72,480

Therefore the amount of gain or loss that Sheffield should recognize on the exchange will be $72,480

1. When has your level of performance been directly affected by your motivation?

Answers

Answer:

Softball

Explanation:

I hate doing softball now so i dont preform as well

Motivation is important to a business and its employees. It helps an individual achieve personal goals. A motivated individual will have greater job satisfaction, heightened performance and a willingness to succeed. This is enjoyed by the wider team and the overall organization.

Whistle Stop pays a constant annual dividend of $4 on its stock. The company will maintain this dividend for the next 3 years and will then cease paying dividends forever. What is the current price per share if the required return on this stock is 15.6 percent?

a. $10.38
b. $9.52
c. $9.04
d. $9.28
e. $10.02

Answers

Answer:

P0 = $9.04279 rounded off to $9.04

Option c is the correct answer

Explanation:

Using the the dividend discount model, we calculate the price of the stock today. It values the stock based on the present value of the expected future dividends from the stock. To calculate the price of the stock today, we will use the following formula,

P0 = D1 / (1+r)  +  D2 / (1+r)^2  +  D3 / (1+r)^3

Where,

r is the required rate of return

P0 = 4 / (1+0.156)  +  4 / (1+0.156)^2  +  4 / (1+0.156)^3

P0 = $9.04279 rounded off to $9.04

Market value ratios provide management with an indication of how investors view the firm's past performance and especially its future prospects.

a. True
b. False

Answers

Answer:

a. True

Explanation:

Market value ratios can be defined as a financial metrics used by an organization to measure the current share price (economic status) of the organization's stock that is held publicly.

Some examples of the commonly used market value ratios includes;

- Market value per share.

- Price/cash ratio.

- Book value per share.

- Earnings per share.

- Market/Book ratio.

- Price/Earnings ratio.

- Dividend yields.

Basically, the market value ratios are adopted by current and potential investors of a business firm so as to determine whether or not the firm's shares are underpriced, priced fairly or overpriced.

Hence, market value ratios provide management with an indication of how investors view the firm's past performance and especially its future prospects.

nce Albert Canning PLC had a net loss of £18,137 on sales of £279,386. a. What was the company’s profit margin? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. In dollars, sales were $359,815. What was the net loss in dollars? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Answers

Answer:

Albert Canning PLC

a) Profit margin = -6.49%

b) The net loss in dollars = -$23,351.99

Explanation:

a) Data and Calculations:

Net loss = £18,137

Sales = £279,386

Profit margin = (Net loss)/Sales * 100

= -£18,137/£279,386 * 100

= -6.49%

b) Sales in dollars = $359,815

The net loss in dollars = $359,815 * -6.49%

= $23,351.99

c) The profit margin is expressed in percentage terms.  It depicts the relationship between the profit and the sales revenue.

Suppose all assets and liabilities can be split into two categories: fixed-rate and variable-rate. Bank profits will decline following a decrease in interest rates if the value of its:_______

a. fixed-rate assets is greater than the value of its variable-rate assets.
b. fixed-rate liabilities is greater than the value of its variable-rate liabilities.
c. fixed-rate assets is greater than the value of its fixed-rate liabilities.
d. fixed-rate assets is less than the value of its fixed-rate liabilities.

Answers

Answer:

c. fixed-rate assets is greater than the value of its fixed-rate liabilities.

Explanation:

In the case when the rate of interest is reduced than the profit of the bank is increased. Also this case applied when the variable rate assets is less than the variable rate liabilities or the fixed rate of the asset is more than the fixed rate liabilities as in the given case the rate of interest would fallen the interest i.e. paid out that reduce more than the reduction in the interest income

Hence, the option c is correct

Joe owns a business renting out properties as apartments. He is hoping to purchase an old building to create new apartment homes. Before Joe is able to purchase the building, he must work out a deal with the current owner, who has decided to sell the property. Use the drop-down menu to complete each statement. Based on the information in the passage, it is most likely that Joe lives in a economy. The building that Joe is interested in purchasing would be considered .

Answers

Answer:

Joe lives in a mixed economy.

The building is a private property

Explanation:

A mixed economy allows individuals like Joe and companies to engage in commercial activities. It gives freedom to entrepreneurs to choose the type of business they wish to operate. Joe rents out apartments to clients. He and the client enters into a tenancy agreement, which suggests the presence of regulation. Consulting the owner of the property that he wishes to purchases shows there is an authority that regulates property transactions. A mixed economy gives buyers and sellers the freedom to do business but with regulation by a central authority.

The property that Joe wishes to buy is private property. It belongs to the seller and not to the public or government. Joe can only purchase a property and acquire its title if it is private property.

Answer:

1. mixed market

2. private property

a. Depreciation on the company's equipment for the year 2017 is computed to be $11,000.

b. The Prepaid Insurance account had a $9,000 debit balance at December 31 before adjusting for the costs of any expired coverage. An analysis of the company’s insurance policies showed that $1,590 of unexpired insurance coverage remains.

c. The Office Supplies account had a $330 debit balance at the beginning of the year; and $2,680 of office supplies were purchased during the year. The December 31 physical count showed $389 of supplies available.

d. One-third of the work related to $15,000 of cash received in advance was performed this period. The Prepaid Rent account had a $5,700 debit balance at December 31 before adjusting for the costs of expired prepaid rent. An analysis of the rental agreement showed that $4,110 of prepaid rent had expired.

e. Wage expenses of $7,000 have been incurred but are not paid as of December 31. Prepare adjusting journal entries for the

Answers

Answer:

Adjustments, Journal Entries for the year ended

Explanation:

A] Depreciation ac dr 11000

to Machine ac 11000

(Depreciation debited to Profit & Loss Account, deducted from Machine value in asset side of Balance Sheet)

B] Prepaid Insurance ac dr 1590

to Insurance ac 1590

(Prepaid Insurance, subtracted from - 'Insurance' - at debit side of Profit & Loss account)

C] Trading account dr 330

to Opening Stock ac 330

Trading Account dr 2860

to Purchase ac 2860

Closing Stock ac dr 389

to Trading Account 389

D]  Income ac dr 5000*  

to Income Advance ac  5000*

(Income Advance, subtracted from 'Income' - at credit side of Profit & Loss account)

Prepaid Rent ac dr 1590**

to Rent ac 1590**

(Prepaid Rent, subtracted from 'Rent' - at debit side of Profit & Loss account)

E] Wages ac dr 7000

to Wages outstanding 7000

(Outstanding Wages, added to 'Wages' - at debit side of Trading account)  

* 5000 = 1/3rd of 15000 , ** 1590 = 5700 - 4110

Big Valley has a times interest earned ratio that is _________, which indicates that Big Valley has _________ long-term insolvency risk than the typical firm in the industry.

a. 4; the same
b. 3.91; less
c. 3.91; more
d. 4.58; more
e. 4.58; less

Answers

Answer:

C. 3.91; more

Explanation:

the first part of the question is missing. It involved several aspects of Big Valley including its current and quick ratios, ROE and how they compare to the industry's average (they are generally lower than the industry's average).

This particular question refers to times interest earned ratio = EBIT / interest expense = 3.91, and how it compares to the industry's average (it is higher than the industry's average).

Since Big Valley performs poorly against the industry's average when comparing the other 3 metrics, but performs very well in the times interest ratio, it means that Big Valley has a low debt ratio. A low debt ratio results in lower financial leverage and lower interest expense.

The result of inspection of samples taken over the past 11 days is given below. The sample size is 100 per day. Day 1 2 3 4 5 6 7 8 9 10Defectives 7 9 9 11 7 8 0 11 13 2What are the upper and lower control limits?

Answers

Answer:

UCL(p) = 0.157

LCL(p) = 0

Explanation:

Number of samples (n) = 10

Size of sample (n) = 100

We compute the defective rate P as below

P  = 7 + 9 + 9 + 11 + 7 + 8 + 0 + 11 + 13 + 2 / 10 * 100

P = 77 / 1000

p = 0.077

We derive σP / value of standard deviation of the sampling distribution as shown below

σP = √P * (1-P) / n

σP = √0.077 * (1 - 0.077) / 100

σP = √0.077 * 0.923/100

σP = √0.071071/100

σP = √0.00071071

σP = 0.02665

Now we calculate the Upper Control chart limit:

UCL(p) = P +Z*σP

UCL(p) = 0.077 + 3*0.02665

UCL(p) = 0.077 + 0.07995

UCL(p) = 0.15695

UCL(p) = 0.157

Now we calculate the Lower Control chart limit:

LCL(p) = P - Z*σP

LCL(p) = 0.077 - 3*0.02665

LCL(p) = 0.077 - 0.07995

LCL(p) = -0.00295 (Negative defect cannot go beyond Zero)

LCL(p) = 0

Issuing a $1,000 par value bond with a yield to maturity of 10%. The company is in a 35 percent marginal tax bracket. What will be the firm’s after-tax cost of debt on the bond?

Answers

Answer:

6.50%

Explanation:

The after-tax cost of the debt is the yield to maturity after having deducted the tax shield which is computed using the formula below:

after-tax cost of debt=pretax cost of debt*(1-tax rate)

pretax cost of debt=yield to maturity=10%

tax rate=35%

The after-tax cost of debt=10%*(1-35%)

The after-tax cost of debt=10%*65%

The after-tax cost of debt=6.50%

Dr. North is a busy doctor who also has three kids. Based only on this information, which source of stress is she most likely suffering from?

a. individual task demands
b. demands created by individual differences
c. work-life conflict
d. group demands
e. organizational demands

Answers

Answer:

c. work-life conflict

Explanation:

The kind of stress she is going through bis the work-life crisis. As a doctor her job is very demanding and as a mother to three kids her role at home is also likely to cause stress.

She is suffering from this because her job as a doctor demands that she attends to different patients daily, Which causes her to be exhausted and as a mom she is having difficulty paying much attention to her children. Thereby making her stressed.

Banks and credit unions serve as:
O intermediary between savers and borrowers
O Influence the inflation rate
Creators of financial products
A marketplace where people can buy and sell stock

Answers

Answer:

intermediary between savers and borrowers

Explanation:

Banks and credit unions are types of financial institutions that accept deposits and issue loans to customers and members. By accepting deposits, these institutions accumulate huge amounts of money in their custody. They use this money to issues loans for other customers.

Banks and credit unions make profits from interest charged on loan issued. They accept deposits are lower rates and issues loans at a higher interest rate. These institutions act as intermediaries for collecting resources for businesses and individuals to borrow.

Wilson, Inc., has a current stock price of $43.00. For the past year, the company had net income of $7,100,000, total equity of $21,750,000, sales of $40,700,000, and 5.8 million shares of stock outstanding. a. What are earnings per share (EPS)? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) b. What is the price-earnings ratio? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c. What is the price-sales ratio? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) d. What is the book value per share? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) e. What is the market-to-book ratio? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Answers

Answer:

a. What are earnings per share (EPS)?

earnings per share = (net income - preferred dividends) / average outstanding common stocks = $7,100,000 / 5,800,000 = $1.22

b. What is the price-earnings ratio?

price earnings ratio = stock price / EPS = $43 / $1.224138 = 35.13

c. What is the price-sales ratio?

price sales ratio = market capitalization / total revenue = ($43 x 5,800,000) / $40,700,000 = $249,400,000 / $40,700,000 = 6.13

d. What is the book value per share?

book value per share = total equity / outstanding shares = $21,750,000 / 5,800,000 = $3.75

e. What is the market-to-book ratio?

market to book ratio = market value per stock / book value per stock = $43 / $3.75 = 11.47

Ratios are used in financial analysis because:

a. different companies use different accounting methods.
b. raw data is difficult to evaluate across time and companies.
c. ratios are complex analysis tools.

Answers

Answer:

b. raw data is difficult to evaluate across time and companies.

Explanation:

There are various ratio that company determines like liquidity ratios, solvency ratios, etc

It helps the company to analyze its financial position, performance and profitability so that the company is able to take the goods decisions that help the company to accomplish its goals and objectives

Now as per the given option, the option b is correct as the raw data is difficult to analyze and evaluate between the time period and the companies

Therefore the correct option is b.

Company BFM has several bond issues outstanding, each making semiannual interest payments. The bonds are listed below. If the corporate tax rate is 15%, what is the aftertax cost of debt?

Bond Coupon Rate Price Quote Maturity Face Value
1 7.5% 105.0 5 years $20,000,000
2 5.8 95.4 8 years 40,000,000
3 7.7 103.8 15 1/2 years 45,000,000
4 8.1 105.7 25 years 60,000,000

Answers

Answer:

bond 1:

YTM = {coupon + [(face value - market value) / n]} / [(face value + market value) / 2]

YTM = {750,000 + [(20,000,000 - 21,000,000) / 10]} / [(20,000,000 + 21,000,000) / 2]

YTM = 650,000 / 20,500,000 = 3.17 x 2 = 6.34%

after tax cost of debt = 6.34% x (1 - 15%) = 5.39%

bond 2:

YTM = {coupon + [(face value - market value) / n]} / [(face value + market value) / 2]

YTM = {1,160,000 + [(40,000,000 - 38,160,000) / 16]} / [(40,000,000 + 38,160,000) / 2]

YTM = 1,275,000 / 39,080,000 = 3.26 x 2 = 6.53%

after tax cost of debt = 6.53% x (1 - 15%) = 5.55%

bond 3:

YTM = {coupon + [(face value - market value) / n]} / [(face value + market value) / 2]

YTM = {1,732,500 + [(45,000,000 - 46,710,000) / 31]} / [(45,000,000 + 46,710,000) / 2]

YTM = 1,677,339 / 45,855,000 = 3.66 x 2 = 7.32%

after tax cost of debt = 7.32% x (1 - 15%) = 6.22%

bond 4:

YTM = {coupon + [(face value - market value) / n]} / [(face value + market value) / 2]

YTM = {2,430,000 + [(60,000,000 - 63,420,000) / 50]} / [(60,000,000 + 63,420,000) / 2]

YTM = 2,361,600 / 61,710,000 = 3.83 x 2 = 7.65%

after tax cost of debt = 7.65% x (1 - 15%) = 6.51%

Purpose of listening in communication

Answers

Answer:

Listening skill allows one to make sense of and understand what another person is saying. In other word listening skills allow people to understand what someone is talking about -the meaning behind the word.. The ability to listen carefully allows worker to better understand assignments they are given.

1. Which one of the following is considered a consumer fraud scheme?

a. Bait and switch.

b. Bait and catch.

c. Advertising.

d. Spam emails.


PLEASE ANSWER AS SOON AS POSSIBLE

Answers

Bait and switch is a “sales tactic that lures customers in with specific claims about the quality or low prices on items that turn out to be unavailable in order to upsell them on a similar, pricier item. It is considered a form of retail sales fraud.”

So I would go with A.

A stock is expected to pay a dividend of $0.50 at the end of the year (i.e., D1 = $0.50), and it should continue to grow at a constant rate of 9% a year. If its required return is 12%, what is the stock's expected price 1 years from today? Round your answer to two decimal places. Do not round your intermediate calculations.

Answers

Answer:

P1 = $18.16667 rounded off to $18.17

Explanation:

Using the constant growth model of dividend discount model, we can calculate the price of the stock today. The DDM values a stock based on the present value of the expected future dividends from the stock. The formula for price today under this model is,

P0 = D1 / (r - g)

Where,

D1 is dividend expected for the next period /year g is the growth rate r is the required rate of return or cost of equity

To calculate the price of the stock today (P0), we use the dividend expected for the next period (D1). Similarly, to calculate the price of the stock one year from today (P1), we will use D2.

P1 = 0.5 * (1+0.09)  /  (0.12 - 0.09)

P1 = $18.16667 rounded off to $18.17

This legislation protects individuals who are 40 years of age or older.
Civil Rights Act of 1964
Age Discrimination in Employment Act of 1967 (ADEA)
Americans with Disabilities Act of 1990 (ADA)
The Rehabilitation Act of 1973 (Sections 501 and 505)

Answers

Answer:

Age Discrimination in Employment Act of 1967 (ADEA)

Explanation:

The Age Discrimination in Employment Act of 1967 (ADEA) protects Job applicants aged 40 years and above from discrimination based on age in the hiring process. It also advocates for fair and equal treatment to employees of ages 40 and beyond regarding promotion, compensation, and other employment privileges.

The Equal Employment Opportunity Commission enforces the ADEA act.

A company had a beginning balance in retained earnings of $43,900. It had net income of $6,900 and declared and paid cash dividends of $5,850 in the current period. The ending balance in retained earnings equals:________

a. $5,850
b. $12,750
c. $42,850
d. $44,950
e. $56,650

Answers

Answer: d. $44,950

Explanation:

Dividends are to be paid from Retained earnings so the ending retained earnings are;

= Beginning retained earnings + Net income - dividends

= 43,900 + 6,900 - 5,850

= $44,950

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Choose the best answer for the analogy. tired : exhausted ::A.) hunger : thirst B.) game : fun C.) daisy : sunflower D.) flat : slopedE.) pleased : overjoyed The function q = 230,000 -28p is a demand function which expresses the quantity demanded of a product q as a function of the price charged for the product p, stated in dollars. Determine the restricted Domain and Range of the function. Read the excerpt from chapter 10 of Animal Farm.There was enthusiastic cheering and stamping of feet. Napoleon was so gratified that he left his place and came round the table to clink his mug against Mr. Pilkington's before emptying it. When the cheering had died down, Napoleon, who had remained on his feet, intimated that he too had a few words to say.Like all of Napoleon's speeches, it was short and to the point. He too, he said, was happy that the period of misunderstanding was at an end. For a long time there had been rumourscirculated, he had reason to think, by some malignant enemythat there was something subversive and even revolutionary in the outlook of himself and his colleagues. They had been credited with attempting to stir up rebellion among the animals on neighbouring farms. Nothing could be further from the truth!Which quotation best shows the use of irony?"He left his place and came round the table to clink his mug against Mr. Pilkington's.""Like all of Napoleon's speeches, it was short and to the point.""There was something subversive and even revolutionary in the outlook of himself."Nothing could be further from the truth!ANSWER is D) Nothing could be further from the truth!took test on egde Use the Rational Root Theorem to list all possible rational roots for the equation. x+2x-9=0 a. 1, 2, 3, 9 b. 1, 3, 9c. 0, 1, 2, 3, 9d. 1, 2, 3, 9, 18(for a, b, c, and d, each number is + and -) PLEASE HELP FAST!!!! Which could be the first in solving the equation represented by the model below?Which one? A. Add 4 positive unit tiles to each side B. Remove 4 unit tiles from each side C. Add 6 positive unit tiles to each side D. Remove 6 unit tiles from each side Samantha invested $40,500 at 6% to be compounded annually. What will be the value of Samantha's investment in 3 years? Round your answer to the nearest cent. Note: Assume 365 days in a year and 30 days in a month. Alisa types 900 words in 20 minutes. what is her typing speed in words per minute? Which best describes two counteracting forces on an object?using a dolly to push a box to another locationtwo children pulling apart a wishbonea group of dogs pulling a dogsled across the icetwo people pushing a broken-down car up the road -2(b-5)=16 x when b is 3 is A car speeds up from 14 meters per second to 21 meters per second in 6 seconds. Whats the acceleration and the distance passed within that time? The Battle of Nacogdochesa. was a decisive victory for the Mexican forces.b. demonstrated the power and skill of the Mexican army.C. resulted in the surrender of Ugartechea and his men because they had run out ofammunition.d. cleared east Texas of Mexican military and authority. A women spent two thirds of her money. She lost two thirds of the remainder and then had $4 left. How much money did she start with? Move point A to different locations to change the orientation of the parallel lines. (You'll notice that the tool keeps AB and CD parallel to each other) Be sure that points A and B do not cross EF. Do the relationships among the angles that you noted in questions 2 through 4 change if you modify the set of parallel lines this way? Explain. An item cost $450 before tax and the sales tax is $13.50. Find the sales tax rate. Write your answer as a percentage.