An actuary is a person who assesses various forms of risk. Based on past data, the holder of an automobile insurance policy pays an insurance premium of $1200 and has a 5% chance of an accident causing $1000 of damage, a 2% chance of $5000 damage and a 1% chance of totaling the car worth $25,000. The probability of the insurance holder making through the year without any accidents is 92%. Find the expected value and interpret it. Is the insurance company likely to make or lose money with this type of policy in the long run

Answers

Answer 1

Answer:

With this policy throughout the long run, the insurance company will make money. A further explanation is provided below.

Explanation:

According to the given values in the question,

The expected value will be:

⇒ [tex]E(value) = Sum \ of \ (x\times P(x))[/tex]

By putting all the given values, we get

⇒                 [tex]=1000\times 0.05+5000\times 0.02+25000\times 0.01+0\times 0.92[/tex]

⇒                 [tex]=50+100+250+0[/tex]

⇒                 [tex]=400[/tex] ($)

As we can see that,

[tex]E(value)<premium[/tex]

[tex]400<1000[/tex]

Thus the above is the correct answer.


Related Questions

All of the following are advantages of using the average rate of return except a.the average rate of return method emphasizes accounting income, which is often used by investors and creditors in evaluating management performance. b.the average rate of return method uses present values. c.the average rate of return method includes the entire amount of income earned over the life of the proposal. d.the average rate of return is easy to compute.

Answers

Answer:

Advantages of using the average rate of return except:

b.the average rate of return method uses present values.

Explanation:

The company's average rate of return or the accounting rate of return (ARR) ignores the time value of money or the cash flows in its calculations.  It is a simple capital evaluation method which calculates the ratio based on the percentage of annual returns over the project's initial cost.  The ARR is not like other investmental appraisal methods, it bases its calculations on accounting profits rather than cash flows.

Manufacturing cost data for Orlando Company, which uses a job order cost system, are presented below. Indicate the missing amount for each letter. Assume that in all cases manufacturing overhead is applied on the basis of direct labor cost and the rate is the same.

Direct materials used $(a) $83,000 $63,150
Direct labor 50,000 140,000 (h)
Manufacturing overhead applied 42,500 (d) (i)
Total manufacturing costs 145,650 (e) 213,000
Work in process 1/1/14 (b) 15,500 18,000
Total cost of work in process 201,500 (f) (j)
Work in process 12/31/14 (c) 11,800 (k)
Cost of goods manufactured 192,300 (g) 222,000

Answers

Answer:

Orlando Company

Indication of the missing amount for each letter:

a) = $53,150 ($145,650 - 50,000 - 42,500)

b) = $55,850 (201,500 - 145,650)

c) = $9,200 (201,500 - $192,300)

d) = $119,000 ($140,000 * 85%)

e) = $342,000 ($83,000 + $140,000 + $119,000)

f) = $357,500 ($342,000 + $15,500)

g) = $345,700 ($357,500 - $11,800)

h) = $81,000 = ($149,850 * 100/185)

h) and i) = $149,850 ($213,000 - $63,150)

$149,850 = 185% (100 + 85%)

i) = $68,850 ($149,850 * 85/185)

j) = $231,000 ($213,000 + $18,000)

k) = $9,000 ($231,000 - $222,000)

Explanation:

a) Data and Calculations:

                                                          Job 1         Job 2         Job 3

Direct materials used                       $(a)        $83,000     $63,150

Direct labor                                    50,000      140,000         (h)

Manufacturing overhead applied 42,500         (d)                 (i)

Total manufacturing costs          145,650          (e)           213,000

Work in process 1/1/14                       (b)           15,500        18,000

Total cost of work in process   201,500            (f)                 (j)

Work in process 12/31/14                  (c)            11,800            (k)

Cost of goods manufactured   192,300            (g)         222,000

                                                          Job 1         Job 2           Job 3

Direct materials used                   $53,150     $83,000       $63,150

Direct labor                                    50,000      140,000         81,000

Manufacturing overhead applied 42,500       119,000        68,850

Total manufacturing costs          145,650      342,000      213,000

Work in process 1/1/14                  55,850         15,500        18,000

Total cost of work in process    201,500       357,500     231,000

Work in process 12/31/14              9,200           11,800         9,000

Cost of goods manufactured    192,300      345,700     222,000

a) = $53,150 ($145,650 - 50,000 - 42,500)

b) = $55,850 (201,500 - 145,650)

c) = $9,200 (201,500 - $192,300)

d) = $119,000 ($140,000 * 85%)

e) = $342,000 ($83,000 + $140,000 + $119,000)

f) = $357,500 ($342,000 + $15,500)

g) = $345,700 ($357,500 - $11,800)

h) = $81,000 = ($149,850 * 100/185)

h and 1 = $149,850 ($213,000 - $63,150)

$149,850 = 185%

i) = $68,850 ($149,850 * 85/185)

j) = $231,000 ($213,000 + $18,000)

k) = $9,000 ($231,000 - $222,000)

The opportunity cost of buying a ticket to a major league baseball game and then going to the game is: the time spent at the game. the next best alternative that could have been undertaken. all other alternative activities that could have been undertaken. the price of the ticket.

Answers

Answer:

. the next best alternative that could have been undertaken.

Explanation:

Opportunity cost of the next best option forgone when one alternative is chosen over other alternatives

Assume that the next best option instead of attending the game is to study for a test. this is the opportunity cost

the price of the ticket is known as the explicit cost. Explicit cost includes the amount expended in carrying out a particular activity

One-fifth of the population, rank ordered by income, is A) An income quintile B) A population quintile. C) An earnings-population quintile. D) None of the choices are correct.

Answers

Answer: income quintile

Explanation:

An income quintile is how the socioeconomic status of a population is measured. Here, the population is divided into 5 income groups which is from the lowest income group to the highest income group. One-fifth of the population are in each group, which is rank ordered by income.

The first quintile = 0 - 20%

Second quintile = 20% - 40%

Third quintile = 40% - 60%

Fourth quintile = 60% - 80%

Fifth quintile = 80% - 100%

Oligopolies would like to act like a Group of answer choices duopoly, but self-interest often drives them closer to the perfectly competitive outcome. competitive firm, but self-interest often drives them closer to the duopoly outcome. monopoly, but self-interest often drives them to charge a higher price than would be charged by a monopoly. monopoly, but self-interest often drives them closer to the perfectly competitive outcome.

Answers

Answer:

monopoly, but self-interest often drives them closer to the perfectly competitive outcome.

Explanation:

In the given situation, the oligopoly tried to act like the monopoly via collusion but at the same time they would tend to cheat that drives the profit and the price per unit is less also it acted as the competitive firm

so here the self-interest would also be drives them near to the perfectly competitive result

hence, the above represent the answer

Oligopolies would like to act like a monopoly, but self-interest often drives them closer to the perfectly competitive outcome. The correct option is d.

Oligopolies are a market structure with a small number of firms, none of which can keep the others from having significant influence. The concentration ratio measures the market share of the largest firms.

A monopoly is a market with only one producer, a duopoly has two firms, and an oligopoly consists of two or more firms. There is no precise upper limit to the number of firms in an oligopoly, but the number must be low enough that the actions of one firm significantly influence the others.

Learn more about oligopolies, here:

https://brainly.com/question/28317513

#SPJ6

Suppose the price of a BMW falls. Explain the law of demand based on the income and substitution effects.

Answers

Answer:

According to the law of demand, the higher the price, the lower the quantity demanded and the lower the price, the higher the quantity demanded.

It is expected that when the price of a BMW falls, the quantity of cars demanded increases.

there are two effect in place that affect the demand for BMW.

They are :

the substitution effect the income effect

The substitution effect looks at the change in price of a good relative to other goods. When the price of a BMW falls, it becomes cheaper relative to other goods. As a result, consumers buy more of BMWs and less of other goods. This leads to a movement down along the demand curve for that good.

The income effect looks at how a change in price affects real disposable income. When the price the BMW decreases, real disposable income increases. As a result, consumers can afford to buy more BMW cars as the consumers purchasing power has increased, holding money income constant.

These two effects lead to an increase in the quantity of BMW demanded

Explanation:

The financing of long term assets should be made from

Answers

Answer:

The main sources constituting long-term financing are shares, debentures, and debts form banks and financial institutions.

Two cigarette manufacturers (Firm A and Firm B) are faced with lawsuits from states to recover the healthcare related expenses associated with cigarette smoking. Both cigarette firms have evidence that indicates that cigarette smoke causes lung cancer (and other related illnesses). State prosecutors do not have access to the same data used by cigarette manufacturers and thus will have difficulty recovering full costs without the help of at least one cigarette firm study. Each firm has been presented with an opportunity to lower its liability in the suit if it cooperates with attorneys representing the states. Pursuing its own best interests, Firm Awill concede that cigarette smoke causes cancer.

a. only if Firm B concedesthat cigarette smoke causes lung cancer.
b. only if Firm B does notconcede that cigarette smoke causes lung cancer.
c. regardless of whetherFirm B concedes that cigarette smoke causes lung cancer.
d. none of the above. Inpursuing its own best interests, Firm A will in no case concedethat cigarette

Answers

Answer:

d. none of the above. In pursuing its own best interests, Firm A will in no case concede that cigarette smoke causes cancer

Explanation:

The given scenario is a classic case of prisoner's dilemma.

Individuals in a given situation tend to tend to not cooperates or confess even if doing so is in their best interest.

Rationally Firm A will have the incentive of a lower liability in the suit brought against them. But they will in no situation admit that cigarette smoke causes cancer. Even if Firm B admits to it.

The best interest for Firm A will be not to admit and maintain their sales as this will affect their business adversely

Why are multinational corporations (MNCs) getting involved in corporate social responsibility and sustainable business practice

Answers

Answer:

Some are genuinely giving back to the community:

Some MNCs are engaged in Corporate Social Responsibility (CSR) and Sustainable business practices because they genuinely care about the communities they have a presence in and the earth as well. With this is mind, they find out ways to give back to the community to ensure that people's lives are touched and improved so that the wider community benefits from the success of the MNC.

Brand Strengthening and Recognition.

Sometimes MNCs get involved in CSR to build their brand because people would associate their brand with the good works they do. This would go a long way in improving their sales figures as well because people want to support a company that supports its communities.

Tax Considerations.

Various tax credits exist for MNCs across many countries and tax regimes to reward them for their CSR activities. MNCs therefore see this as a chance to kill two birds with one stone as they get to use money that would have gone to taxes to improve their PR standing.

1. Do you think the day will come when people no longer use cash? Why, or why not?


2. Would the overall impact of a cashless economy be positive or negative? Explain your answer.

Answers

I think now I’m present day that money is now being transferred online and email services I think cash for no longer be used in the future because the rise of technology and how everyone is now getting so used to it and depending on tech

It would be positive it would be more clear to people and for the younger generation to learn about but for the older generation it would be much harder and would be a negative affect on them since they didn’t use technology in their days and a lot of people are still used to cash

Assume that the reserve requirement is 5 percent. All other things being equal, will the money supply expand more if the Fed buys $2,000 worth of bonds or if someone deposits in a bank $2,000 that she had been hiding in her cookie jar? If one creates more, how much more does it create? Support your thinking.

Answers

Answer: See explanation

Explanation:

Based on the information given in the question, the reserve ratio is given as 5%, then the money multiplier will be:

= 1 / reserve requirement

= 1/5%

= 1 / 0.05

= 20.

Therefore, the money multiplier will increase by 20.

Then, the Money supply will be calculated as:

= amount x money multiplier

= 2000 x 20

= 40000

Therefore, the increase in the money supply will be $40000.

In this case, if the FED purchases $2000 worth of bonds, it'll expand the money supply more.

NorthRim Inc. (NRI), imports extreme condition outdoor wear and equipment from the Allofit Territories Company (ATC) located in Canada. With the steady decline of the U.S dollar against the Canadian dollar NRI is finding a continued relationship with ATC to be an increasingly difficult proposition. In response to NRI's request, ATC has proposed the following risk-sharing arrangement. First, set the current spot rate as the base rate. As long as spot rates stay within 5% (up or down) NRI will pay at the base rate. Any rate outside of the 5% range, ATC will share equally with NRI the difference between the spot rate and the base rate. If the current spot rate is C$1.20/$, what are the upper and lower limits for trading to take place at C$1.20?

a. C$1.205/$ - C$1.195/$
b. C$1.15/$ - C$1.25/$
c. C$1.14/$ - C$1.26/$
d. none of the above

Answers

Answer:

The answer is "Option C".

Explanation:

Let

Spot rate = Base rate= 1.20

Within the [tex]5\%[/tex] range, the trade will taking the place at the base rate that is [tex]=1.20[/tex]

Calculating the lower limit:

 [tex]\to 1.20 - (5\% \times 1.20) =1.20 - (0.06)= 1.20 - 0.006 = 1.14\\\\\to 1.20 + (5\% \times 1.20)=1.20 + (0.06) = 1.20 + 0.006 = 1.26[/tex]

Concord is a nonprofit organization that captures stray deer bewildered within residential communities. Fixed costs are $10000. The variable cost of capturing each deer is $10 each. Concord is funded by a local philanthropy in the amount of $56000 for 2020. How many deer can Concord capture during 2020?

Answers

Answer: 4600

Explanation:

The number of deer that Concord can capture during 2020 will be calculated thus:

Let the number of deers that'll be captured be represented by x.

Based on the information given in the question, we can form an equal which will be:

Fixed cost + Variable cost = Total cost

10000 + 10x = 56000

10x = 56000 - 10000

10x = 46000

x = 46000/10

x = 4600

Therefore, 4600 deers can be captured

It takes Suzi 6 hours to sew a shirt and 4 hours to bake a cake. Anna can sew a shirt in 3 hours and bake a cake in 1 hour. If Anna and Suzi decide to specialize and trade, who should make shirts?

Answers

Answer:

Suzi

Explanation:

Comparative advantage is the relative edge that a person has over another in the production of a product. They use less resources to produce the product than others.

When two parties corporate in production the good to produce can be shared base on who has comparative advantage or the person that loses less in a production process.

In the give instance

Suzi can produce a shirt in 6 hours while Anna produces it in 3 hours. Anna is twice as fast as Suzi.

Suzi can bake a cake in 4 hours while Anna can do so in 1 hour. So Anna is 4 times faster than Suzi in baking cakes.

It will be best for Suzi to make shirts since she is only twice as slow as Anna.

Anna will be better off baking cakes as she is four times as fast here.

The following are the relevant data for calculating sales variances for Fortuna Co., which sells its sole product in two countries: Gallia Helvetica Total Budgeted selling price per unit $6.00 $10.00 -- Budgeted variable cost per unit (3.00) (7.50) -- Budgeted contribution margin per unit $3.00 $ 2.50 -- Budgeted unit sales 300 200 500 Budgeted mix percentage 60% 40% 100% Actual units sold 260 260 520 Actual selling price per unit $6.00 $ 9.50 NA Question The sales mix variance for the two countries is

Answers

Answer:

$26 U

Explanation:

Calculation to determine what The sales mix variance for the two countries is

First step is to calculate the sales mix variance in Gallia

Using this formula

Sales mix variance in Gallia={[Actual units sold-(Actual total units sold×Budgeted percentage)×Budgeted UCM}

Let plug in the formula

Sales mix variance in Gallia= {[260 –(520 actual × .6 )] × $3 }

Sales mix variance in Gallia=$156 U

Second step is to calculate the sales mix variance in Helvetica using this formula

Sales mix variance in Helvetica={[Actual units sold-(Actual total units sold×Budgeted percentage)×Budgeted UCM}

Let plug in the formula

Sales mix variance in Helvetica= {[260 –(520 × .4 )] × $2.50 }

Sales mix variance in Helvetica=$130 F

Now let calculate the multiple-country sales mix variance using this formula

Sales mix variance =Sales mix variance in Gallia-

Sales mix variance in Helvetica

Let plug in the formula

Sales mix variance= ($156 U –$130 F)

Sales mix variance=$26U

Therefore The sales mix variance for the two countries is $26U

A company with $60,000 in current assets and $35,000 in current liabilities pays a $1,000 current liability. As a result of this transaction, the current ratio and working capital will

Answers

Answer:

Increase and remain the same respectively

Explanation:

Given the above information, we know that current ratio is computed as;

Current ratio = Current assets ÷ Current liabilities

Current ratio = $60,000 ÷ $34,000

Current ratio = 1: 1.76

Working capital is computed as;

= Current asset - Current liabilities

= $60,000 - $34,000

= $26,000

As a result of the above, the current ratio increased because of the reduction in the current liabilities value while the working capital remains the same.

assuming the hiking shoes division of the all about shoes corporation had the following results last year managements target rate of return 10% and the weighted average cost of capital is 30%. its effective rac rate is 25% what is the divisions return on investment roi

Answers

Answer:

116.67%

Explanation:

Note: Complete question is attached as picture below

Capital Turnover = Sales / Total Assets

Capital Turnover = $7,000,000 / $1,500,000

Capital Turnover = 4.67

Sales Margin = Operating Income / Sales

Sales Margin = $1,750,000/$7,000,000

Sales Margin = 0.25

Sales Margin = 25%

Division Rate of Investment = Capital Turnover * Sales Margin

Division Rate of Investment = 4.67 * 25%

Division Rate of Investment = 116.67%

The purpose or objectives of competition policy

Answers

Answer:

to encourage creativity

Inez is compensated based on a plan that pays a base salary, with commission in addition. Inez receives $40,000/year salary (and is paid monthly); additionally, she receives 8% on all sales in excess of $50,000 in sales/month. In April, Inez sold $69,500 of product. Calculate her monthly earnings.

Answers

Answer:

$4,893.33

Explanation:

Inez's monthly earnings in April comprises of her monthly salary and the performance bonus which are both computed as shown below:

monthly salary=annual salary/12 months

annual salary

monthly salary=$40,000/12

monthly salary=$3,333.33

Note that the performance bonus is not based on the entire sales revenue generated by her but on the sales revenue above the threshold of $50,000

sales performance bonus=($69,500-$50,000)*8%

sales performance bonus=$1,560

monthly earnings=$3,333.33+$1,560

monthly earnings=$4,893.33

Gena Manufacturing Company has a fixed cost of $225,000 for the production of tubes. Estimated sales are 150,000 units. A before tax profit of $125,000 is desired by the controller. If the tubes sell for $5 each, what unit contribution margin is required to attain the profit target?
$1.47.
$2.33.
$3.00.
$0.90.

Answers

Answer: $2.33

Explanation:

The unit contribution margin that is required to attain the profit target will be calculated thus:

= (Fixed cost + Desired profit) / Estimated units

= ($225,000 + $125,000) / 150,000

= $350,000 / 150,000

= $2.33

Therefore, the unit contribution margin is $2.33

Your credit card company quotes a lending rate of 15.4% APR. How much is the periodic rate (in percentage points) if the company compounds monthly

Answers

Answer:

1.28%

Explanation:

Periodic rate = APR / amount of compounding

the amount of compounding is equal to the number of months that the company compounds the amount

15.4 / 12 = 1.28%

A machine shop uses a periodic system to maintain the inventory saw blades. The review period is four days and lead time is two days. They use an average of 11 saw blades per day. The standard deviation of use over a six-day period is 9 saw blades. Saw blades aren't the most critical item they carry, but the manager would like to limit the probability of a stockout to 2.5% of the time. What should their restocking level be

Answers

Answer:

the restocking level is 147 units

Explanation:

The computation of the restocking level is shown below:

= (11 × (2 + 4))  + 9 × 1.96

= 147 units

The 1.96 comes from

= 100 - 2.5%

= 97%

The value of z for 97% is 1.96

Hence, the restocking level is 147 units

The same would be considered and relevant too

The current assets of Sheridan Company are $292400. The current liabilities are $116960. The current ratio expressed as a proportion is

Answers

The current ratio expressed as a proportion is 2.5

Explanation:

Given :

The current assets = $292400

The current liabilities are $116960.

To find :

The current ratio

Solution :

Current Ratio =

[tex]\sf{\dfrac{Current \: Assets }{Current \: Liabilities}}[/tex]

[tex]\sf{\implies{\dfrac{292400}{116960}}}[/tex]

[tex]\implies[/tex] 2.5

Therefore, The current ratio expressed as a proportion is 2.5

You want to have $2.7 million when you retire in 37 years. You feel that you can save $600 per month until you retire. What APR do you have to earn in order to achieve your goal

Answers

Answer:

9.87%

Explanation:

Calculation to determine What APR do you have to earn in order to achieve your goal

$2.7 million = $600{[(1 + r)444 − 1] / r}

r = .0082*100

r=.82%

r = .82% × 12

r = 9.87%

Therefore the APR you have to earn in order to achieve your goal is 9.87%

A registered investment adviser often recommends real estate limited partnership investments to her wealthy clients. The RIA's personal financial statement and income are consistent with those of her wealthy clients, yet she never buys limited partnership units for her personal account. Which statement is TRUE

Answers

Answer: Her actions are inconsistent with the advice being given to her clients and this must be disclosed

Explanation:

Since the registered investment adviser often recommends real estate limited partnership investments to her wealthy clients but she never buys limited partnership units for her personal account.

This shows that her actions are inconsistent with the advice being given to her clients and this must be disclosed.

Assume a $1,000 Treasury bill is quoted to pay 8% and matures in 3 months. 1. How much interest would an investor receive? (10 pts)

Answers

Answer:

i dont know

Explanation:

Find the APR, or stated rate, in each of the following cases:
Stated Rate (APR) Number of Times Effective
Compounded Rate (EAR)
% Semiannually 11.9%
Monthly 12.8
Weekly 10.5
Infinite 14.2

Answers

Answer and Explanation:

The annual percentage rate or stated rate is as follows;

Effective annual rate = [1 + (Annual percentage rate ÷ compounding period )]^compounding period - 1

Annual percentage rate

= 2[(1.119)1 ÷ 2 - 1]

= 11.57%

Annual percentage rate is

= 12 [(1.128)1 ÷ 12 - 1]

= 12.11%

Annual percentage rate

= 52[(1.105)1 ÷ 52 - 1]=

= 9.99%

Annual percentage rate

= 365[(1.142)1  ÷ 365 -  1]

= 13.28%

Many restaurants do not take reservations. You simply arrive and wait your turn. If you arrive at 7:30 in the evening, you have at least an hour wait. Notwithstanding that fact, a few people arrive, speak quietly with the maître d’, hand him some money, and are promptly seated. At some restaurants that do take reservations, there is a month wait for a Saturday evening, three weeks for a Friday evening, two weeks for a Tuesday through Thursday, and virtually no wait for Sunday or Monday evening. How do you explain these events using demand and supply?

Answers

Many restaurants are misleading you

If you were an investor during the dot revolution, and you invested primarily in technology stocks, what fundamental principle of finance did you ignore and how did it affect the value of your portfolio

Answers

Answer:

If an individual has shares in a dot.com or IT firm in his or her portfolio, the essential concept of finance that might be overlooked while owning the commodity is :

1) The corporation's income/EPS has decreased.

2) A slowdown in the corporation 's growth and turnover.

3) The dividend payment ratio will be reduced.

Quarterly effects on the outcomes would rarely make a difference in the year results, given the seasonal or business pattern in IT organisations.

You recently purchased a stock that is expected to earn 24 percent in a booming economy, 13 percent in a normal economy, and lose 2 percent in a recessionary economy. There is 24 percent probability of a boom, 61 percent chance of a normal economy, and 15 percent chance of a recession. What is your expected rate of return on this stock

Answers

Answer:

13.39%

Explanation:

Calculation to determine the expected rate of return on this stock

Using this formula

E(r)=(Boom probability*Expected boom economy stock)+(Normal economy*Expected Normal Economy stock)+(Recession*Recession economy lose)

Let plug in the formula

E(r) = (.24 * .24) + (.61 * .13) + (.15 *- .02)

E(r)= .0576 + .0793- .003

E(r)= .1339*100

E(r)=13.39%

Therefore the expected rate of return on this stock will be 13.39%

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The financing of long term assets should be made from Bru.h someone plz help me ik its easy but the sentence dont come to my mind plz help me ;-; plz Please do my survey!!! I need 15 more ppl to do it. Just answer yes to the first 2 questions or you will be kicked out!!! Will attach the link in comments Percy Jackson Chapter 8-10 VocabularyPart 1. Antonyms and SynonymsLabel each pair of words a synonym or antonymTermsSynonym or AntonymSynonymcarnage, bloodbathsuspiciously, skepticallySynonymIomen, warningquest, searchintrigued, fascinatedimpulsive, cautioussummon, dismiss Solving a word problem using a quadratic equation with rationa...The area of a rectangle is 52 m, and the length of the rectangle is 5 mless than double the width. Find the dimensions of the rectangle.Length:Width : 1 The trees are very tall. They restrict sunlight from reaching the ground. As their population decreased from year 1 to year 5, scientists noted that a low-growing invasive plant species increased in number. Why do you think this increase occurred?please help!! PLEASE HELP ME! WILL MARK BRAINLIEST car moves a distance of 420 m. Each tire on the car has a diameter of 42 cm. Which shows how many revolutions eachtire makes as they move that distance?Plzzzz help asap 10. What is the molarity of a solution containing 20 moles of NaCl dissolved in 10 liters of water?0.5 mol/L2 mol/L5 mol/L10 mol/L What is the building block of allliving things?3.A the cellthe chloroplastthe nucleusD the cytoplasm2. Which of the following statements is true? Me podrian ayudar con las actividades 3.7 y 3.8 por favor help me with this quick pleaseeeee Consider this quadratic equation.2x^2-1 = 3x+4Which equation correctly applies the quadratic formula? The OutsidersThe main theme of chapter 5 isA. familial bonds of friendshipB. divided communityC. toxicity of moneyD. self-preservation Many restaurants do not take reservations. You simply arrive and wait your turn. If you arrive at 7:30 in the evening, you have at least an hour wait. Notwithstanding that fact, a few people arrive, speak quietly with the matre d, hand him some money, and are promptly seated. At some restaurants that do take reservations, there is a month wait for a Saturday evening, three weeks for a Friday evening, two weeks for a Tuesday through Thursday, and virtually no wait for Sunday or Monday evening. How do you explain these events using demand and supply? The data showed that recently the alligator population has decreased. How could the decrease in the alligatorpopulation affect the other populations? Be sure to explain whether the gar population, the diving duck population, athe crab population will change, and why. What is the authors purpose in writing passage 2?A. To describe all the reasons a restaurant should not have to pay a fine for using too much water. B. To inform people that it is important to consider how a fine might affect businesses and the economy.C. To persuade the reader to call lawmakers in support of a fine for too much water usage.D. To explain how water conservationists are incorrect and that there is enough water for everyone. The area of a rectangle is 135 square units. Its length measures 9 units. Findthe length of its diagonal. Round to the nearest tenth of a unit. What is the area of a circle with radius 8 cm? *0 20.96 square cmO 64 square cm0 200.96 square cmO 96.2 square cm what is the brief history of the Roman rulers