$1,000 par value bond pays interest of $35 each quarter and will mature in 10 years. If your nominal annual required rate of return is 12 percent with quarterly compounding, how much should you be willing to pay for this bond

Answers

Answer 1

Answer:

$1,115.58

Explanation:

Calculation to determine how much should you be willing to pay for this bond

Using this formula

Bond Price​= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]

Where,

Par value= $1,000

Cupon= $35

Time= 10*4= 40 quarters

Rate= 0.12/4= 0.03

Let plug in the formula

Bond Price​= 35*{[1 - (1.03^-40)] / 0.03} + [1,000/(1.03^40)]

Bond Price​= 809.02 + 306.56

Bond Price​= $1,115.58

Therefore how much should you be willing to pay for this bond is $1,115.58


Related Questions

Suppose net exports and net capital outflow are in equilibrium in a small open economy. If foreign governments adopt expansionary fiscal policy, in the small open economy the real exchange rate ____________ and net exports ____________. g

Answers

Answer:

the small open economy the real exchange rate DEPRECIATES and net exports INCREASE.

Explanation:

If the government adopts an expansionary monetary policy, then the country's currency will depreciate since a higher interest rate will result in a lower value according to the PPP thoery. When a currency depreciates, the exports become cheaper for foreign countries, so they increase. While the imports become more expensive and they decrease.

Suppose that the U.S. government decides to charge wine producers a tax. Before the tax, 40 billion bottles of wine were sold every year at a price of $7 per bottle. After the tax, 35 billion bottles of wine are sold every year; consumers pay $9 per bottle, and producers receive $6 per bottle (after paying the tax). The amount of the tax on a bottle of wine isper bottle. Of this amount, the burden that falls on consumers isper bottle, and the burden that falls on producers isper bottle. True or False: The effect of the tax on the quantity sold would have been larger if the tax had been levied on consumers.

Answers

Answer and Explanation:

The computation is shown below:

The amount of the tax for the wine bottle is

= $9 per bottle - $6 per bottle

= $3 per bottle

Before the tax, the price per bottle is $7 per bottle

The Tax burden on consumers is

= $9 - $7

= $2 per bottle

And, the tax burden on producers is

= $7 per bottle - $6 per bottle

= $1 per bottle

So, the given statement is false as the impact would remain the same whether it is for producer or consumer

what is the technology seed? what are the main parameters of value and the functions?.​

Answers

Answer:

Seed technology is technology in which superior crop seed development, plant varieties, seed production, seed marketing, quality control, seed psychology distribution, seed certification, etc.

These parameters are the seed technology variable and function.

Explanation:

The key points of interest and helpfulness of MPV are the different items and drive customer purchasing options.

Why would they say that they're important?

GEN TRIZ is a major vehicle for guaranteeing a distance from the market view and profit from MPV. Even the highest specialized arrangements risk a limited financial value without this view. A limited emphasis on MPV guarantees that the only focus of small R&D development assets is to improve customers' issues rather than to improve everything.

Hugh is in charge of creating the value proposition for a new start-up company. In order for him to create an effective value proposition, what questions does he need to answer for a potential consumer

Answers

Answer:

Who is the target buyer for the offering, what is the offering to the buyer, why is the offering unique for the customer

Explanation:

Since in the given situation, it is mentioned that the hugh developed the value proposition for newly startup company so for developing the effective value proposition he need to answer the question for a consumer that involved about the target purchaser who is offering, the offering made to the buyer and the unique offering made to the customer

These 3 types of questions he need to answer

A borrows 10,000 from B and repays with 40 quarterly installments at a 4% annual effective rate. After 6 years, B sells the rights to future payments to C, at a price which yields C 6% annual effective over the remaining installment periods. What price did C pay

Answers

Answer:

$4,303.68

Explanation:

Quarterly payment = $10,000 / 32.835 (PVIFA, 1%, 40 periods) = $304.55

After 6 years, the principal due = $4,483

Present value of an annuity = payment x PVIFA = $304.55 x 14.13126 (PVIFA, 1.5%, 16 periods) = $4,303.68

The difference is not significant since the remaining payments are not many, and the increase in quarterly rate is only 0.5%

The following costs were incurred in August: Direct Materials $18,000 Direct Labor $21,000 Manufacturing Overhead $33,000 Selling Expenses $14,000 Administrative Expenses $19,000 Conversion costs during the month of August totaled: a. $39,000. b. $105,000. c. $54,000. d. $51,000.

Answers

Answer:

C. $54,000

Explanation:

Given the following information,

Direct labor = $21,000

Manufacturing overhead = $33,000

Conversion cost refers to the sum of direct labor and manufacturing overhead

Conversion cost = Direct labor + Manufacturing overhead

Conversion cost = $21,000 + $33,000

Conversion cost = $54,000

In an inventory control system, the annual demand is 12,000 units, the ordering cost is GHS 30 per order and the inventory holding cost is GHS 3.00 per year. The order quantity is 1000 units and the cost per unit of the item is GHS 150. What is the total cost per year?

Answers

Answer:

Total cost per year = $1,801,860

Explanation:

Given:

Annual demand = 12,000 units

Ordering cost = $30 per order

Inventory holding cost = $3 per year

Order quantity = 1000 units

Cost per unit of the item = $150

Find:

Total cost per year

Computation:

Total cost per year = Purchase cost + Order cost + Inventory holding cost

Total cost per year = [12,000 x 150] + [12,000/1000 x 30] + [1,000/2 x 3]

Total cost per year = 1,800,000 + 360 + 1500

Total cost per year = $1,801,860

A farmer is considering the installation of a fuel storage system that will save $0.065 per gallon because the fuel can be purchased in bulk. The farmer uses about 20,000 gallons per year. The system will cost $10,000 to install. The annual operating and maintenance cost will be nothing in the first year but will increase by $25 each year thereafter. After ten years that the system will be used it will have a salvage value of $3,000. The Farmer
The farmer's cost of funds is 12%. What is the equivalent uniform annual benefit for the fuel storage system?Based on this analysis, should the farmer purchase the fuel storage?

Answers

Answer:

yes and because yes

Explanation:

At the beginning of the year, Crane Company estimates annual overhead costs to be $2400000 and that 400000 machine hours will be operated. Using machine hours as a base, the amount of overhead applied during the year if actual machine hours for the year was 375000 hours is

Answers

Answer:

the amount of overhead applied during the year is $2,250,000

Explanation:

The computation of the overhead applied is shown below;

= Estimated annual overhead ÷ machine hours × actual machine hours

= $2,400,000 ÷ 400,000 machine hours × 375,000 hours

= $2,250,000

hence, the amount of overhead applied during the year is $2,250,000

All of the following assets require a title as proof of ownership, except: Group of answer choices Life insurance. Boat. Home. Vehicle.

Answers

Answer:

Life insurance.

Explanation:

A life insurance policy can be defined as a contract between a policyholder and an insurer, in which the insurer agrees to pay an amount of money to a specific beneficiary either upon the death of the insured person (decedent) or after a set period of time.

All of the following assets such as home, boat, vehicle require a title as proof of ownership, except a life insurance because no one person can present a proof to attest to the ownership of their life.

Simply stated, a life of an individual is abstract and as such can not be quantified or qualified by any document as a proof to be presented to another person or business entity. Thus, a life insurance cannot be used as a collateral to obtain credits or loans from a financial institution or investors.

Navistar Trucking has adopted a new approach to capital budgeting. What is the fundamental way in which the new approach differs from the traditional approach

Answers

Answer:

They use a capital budgeting approach that has a bigger planning cycle, also focus is on shareholder value

Explanation:

Navistar Trucking adopted capital budgeting accounting system. This entails estimating if the price being paid for long term investments in projects and equipment is worthwhile.

Methods like internal rate of return, payback period, and net present value are used to assess value of investment.

Navistar trucking plans its capital budgeting in 5-10 years unlike traditional approach that does so every year.

Also focus is on increasing the value of shareholders over time.

An increase in interest rates will help increase the future value of a portfolio because the cash flows produced by the portfolio: a. will increase the maturity value of the bond. b. will decrease the yield to maturity of the bond. c. can be used to recall high-rate bonds. d. can be reinvested at higher rates of return. e. will generate cash to pay future coupon interest.

Answers

Answer:

d. can be reinvested at higher rates of return.

Explanation:

Option d. can be reinvested at higher rates of return.

The interest rates on the portfolio is the yield that a person receives on his investment. This yield he gets periodically, therefore amount received can be used to generate further yields by reinvesting it into higher interest paying investments.

Mutual fund A earned 10 percent while B earned 8 percent. The standard deviations of the returns were 10 percent and 7 percent, respectively. The risk free rate is 1%. According to the Sharpe ratio, which fund performed better

Answers

Answer:

Explanation:

The Sharpe ratio is given by:

(Return of portfolio - risk free rate) / standard deviation.

Nike has so far had $30,000,000 in losses at its shoe factory in Vietnam in 2017. The additional revenue that it will earn from producing an additional shoe is $100 while the additional cots incurred for that additional shoe is $99.99. Should Nike continue operations in that factory and produce that additional shoe

Answers

Answer: c. Yes, because the marginal revenue from producing the additional shoe is greater than the marginal costs.

Explanation:

When making financial decisions, companies abide by the principle of Sunk Costs. This means that money that has already been spent, should not have any effect on future financial decisions. The $30 million that has been lost already will therefore not be considered.

The only figures now are the additional cost and revenue. The additional revenue is more than the additional cost so this shoe should be produced because it brings in a profit of $0.01.

Finisher Inc. sells merchandise of $250,000 in 2020 that includes a three-year limited warranty. Warranty costs are estimated to be 1% of sales. The company incurred actual costs of $800 in 2020 related to the warranties. a. Record the warranty accrual at the time of sale in 2020. b. Record the adjustment to the warranty accrual for actual warranty costs in 2020.

Answers

Answer: See explanation

Explanation:

a. Record the warranty accrual at the time of sale in 2020.

Debit Warranty expense = $250,000 × 1% = $2,500

Credit Warranty Liability $2,500

(To record the warranty accrual)

b. Record the adjustment to the warranty accrual for actual warranty costs in 2020.

Debit Warranty Liability $800

Credit Cash and Payables $800

Assume the credit terms offered to your firm by your suppliers are 2.7​/5​, Net 30. Calculate the cost of the trade credit if your firm does not take the discount and pays on day 30.

Answers

Answer: 49.02%

Explanation:

The cost of the trade credit will be calculated thus:

Amount when discount is availed will be: = 100-2.7 = 97.3

Discount rate = 2.7

Interest rate per period = 2.7/97.3 2.77%

Number of Days = 30-5 = 25

Therefore, the EAR will be calculated as:

= [(1+2.77%)^(365/25)] - 1

= 49.02%

Winston Company reported net income of $50,000 for the year. During the year, accounts receivable decreased by $7,000, accounts payable increased by $3,000 and depreciation expense of $5,000 was recorded. Net cash provided by operating activities for the year is Group of answer choices $40,000. $65,000. $49,000. $45,000.

Answers

Answer:

$65000

Explanation:

Below is the calculation:

To find the net cash from the operating activity, we are required to add depreciation, accounts payable and accounts receivables.

Net income of the company = $50000

Add- expenses of depreciation = 5000

Add - Increase in accounts payable = 3000

Add - Decrease in accounts receivable = $7000

Thus net cash from operating activity =  50000 + 5000 + 3000 + 7000 = $65000

Company Company A Company B Forecasted return 7% 11% Standard deviation of returns 8% 23% Beta 1 3 The market risk premium is 6% and the risk-free rate is 3%. Using Capital Asset Pricing Model (CAPM), will you invest in the companies

Answers

Answer and Explanation:

The computation is shown below:

As we know that

Required rate of return = Risk Free Rate +  Beta × (Market Return -Risk Free Rate)

For company A

= 3% + 1 × 6%

= 9%

For Company B

= 3% + 3  ×  6%

= 21%

As we can see that the forecast return should be lower than the required return so we should not invest in company A also the same is done in company B too

Therefore we dont invest in any of the company

The reporting of net cash provided or used by operating activities that lists the major items of operating cash receipts, such as receipts from customers, and subtracts the major items of operating cash disbursements, such as cash paid for merchandise, is referred to as the:

Answers

Direct method

Explanation:

Variable $100,000 $ 25,000 Fixed 150,000 75,000 Total $250,000 $100,000 What is the initial selling price needed to obtain a target profit of $50,000 using the manufacturing cost markup method

Answers

Answer: $8.00

Explanation:

Details missing in question are:

These costs are for 50,000 units.

$250,000 is manufacturing cost. $100,000 is administrative cost.

The total manufacturing cost is shown to be $250,000 above.

A profit of $50,000 is needed in addition to this cost as well as the administrative cost of $100,000.

Total revenue expected is therefore:

= 250,000 + 100,000 + 50,000

= $400,000

50,000 units are to be sold so to make a revenue of $400,000, each unit should be sold for:

= 400,000 / 50,000

= $8.00

In the liquidation of a partnership, any partner who has a capital deficiency Group of answer choices has a personal debt to the partnership for the amount of the deficiency. is automatically terminated as a partner. will receive a cash distribution only on the basis of his or her income-sharing ratio. is not obligated to make up the capital deficiency.

Answers

Answer: A. has a personal debt to the partnership for the amount of the deficiency

Explanation:

Partnership is a form of business whereby two or more people come together and manage an organization together.

Capital deficiency refers to when there's a debit balance in the capital account of a partner after the allocation of gain or loss.

In the liquidation of a partnership, any partner who has a capital deficiency has a personal debt to the partnership for the amount of the deficiency.

Assume Peanut Butter and Jelly are two complement products. For both markets explain what happens for an increase in the Supply of Jelly to both the Peanut butter and Jelly markets.

Answers

Answer:

Complementary goods are goods that are consumed together

If the supply of Jelly increases, the supply curve for jelly shifts rightward. As a result of the rightward shift, price decreases and quantity increases.

Because jelly and peanut butter are complements, an increase in the supply leads to an increase in the supply of peanut butter.

the supply curve of peanut butter shifts outward also. As a result of the rightward shift, price decreases and quantity increases.

Explanation:

A complimentary service or product is one that is employed in connection with just another good or service. When ingested solo, the complement product is usually of little or no value. If a commodity has a positive connection with another product, it is considered complimentary.

The supply curve for jelly goes rightward as the supply of jelly increases. Price drops and quantity volume increases of the rightward shift. Because jelly and peanut butter complement one other, an increase in jelly availability leads to an increase in peanut butter supply. Peanut butter's supply curve is also shifting outward. Price decreases and quantity increases as a result of the rightward shift.

The cross-price elasticity of demand is equal to 2 and larger than 1, indicating that demand is elastic and positive since wheat and rice are complimentary items, and as the price of wheat rises, so does the demand for rice.

To know more about the complementary goods, refer to the link below:

https://brainly.com/question/1240785

Theresa is considering starting a small business. She plans to purchase equipment costing $145,000. Rent on the building used by the business will be $26,000 per year while other operating costs will total $30,000 per year. A market research specialist estimates that Theresa's annual sales from the business will amount to $80,000. Theresa plans to operate the business for 6 years. Disregarding the effects of taxes, what will be the amount of annual net cash flow generated by the business?
A) $24,000
B) $56,000
C) $80,000
D) None of these answers is correct.

Answers

C

Answer: the answer is (C)

A legal document which summarizes the rights and privileges of bondholders as well as the obligations and commitments of the issuing company is called Group of answer choices a bond indenture. a bond debenture. trading on the equity. a term bond.

Answers

Answer:

a bond indenture

Explanation:

a bond debenture can be described as the legal contract of a bond

Features of a bond debenture

Reason why the bond was created the interest rate to earned the method by which interest is calculated Maturity datescovenants

a bond indenture is a legal document which summarizes the rights and privileges of bondholders as well as the obligations and commitments of the issuing company

Bandar Industries Berhad of Malaysia manufactures sporting equipment. One of the company’s products, a football helmet for the North American market, requires a special plastic. During the quarter ending June 30, the company manufactured 3,100 helmets, using 2,232 kilograms of plastic. The plastic cost the company $14,731. According to the standard cost card, each helmet should require 0.65 kilograms of plastic, at a cost of $7.00 per kilogram. Required: 1. What is the standard quantity of kilograms of plastic (SQ) that is allowed to make 3,100 helmets? 2. What is the standard materials cost allowed (SQ × SP) to make 3,100 helmets? 3. What is the materials spending variance? 4. What is the materials price variance and the materials quantity variance?

Answers

Answer:

Bandar Industries Berhad of Malaysia

1. The standard quantity of kilograms of plastic (SQ) that is allowed to make 3,100 helmets is:

= 2,015

2. The stand materials cost allowed (SQ * SP) is:

= $14,105

3. The materials spending variance is:

= $626 U

4. The materials price variance is:

= $893 F

The materials quantity variance is:

= $1,519 U

Explanation:

a) Data and Calculations:

Number of helmets manufacturing = 3,100

Units of direct materials used = 2,232 kilograms

Actual unit of direct materials used = 0.72 kilograms (2,232/3,100)

Cost of direct materials = $14,731

Unit cost of direct materials = $6.60 ($14,731/2,232)

Standard costs per kilogram = $7.00

Standard units of direct materials = 0.65 kilograms

1. The standard quantity of kilograms of plastic (SQ) that is allowed to make 3,100 helmets = 2,015 (3,100 * 0.65)

2. The stand materials cost allowed (SQ * SP) = $14,105 (2,015 * $7.00)

3. The materials spending variance = $626 U ($14,731 - $14,105)

4. The materials price variance = standard price - actual price * actual quantity used

= $7.00 - $6.60 * 2,232

= $893 F

The materials quantity variance = standard quantity - actual quantity *  standard price

= 2,015 - 2,232 * $7

= $1,519 U

Samantha Rose Inc. made a $25,000 sale on account with the following terms: 1/15, n/30. If the company uses the net method to record sales made on credit, how much should be recorded as revenue

Answers

Answer:

$24,750

Explanation:

The computation of the amount that should be recorded is shown below"

Sales on account = $25,000

Credit term = 1/15, n/30

Sales discount rate = 1%

Now  

Sales discount = Sales on account × Sales discount rate

= 25,000 × 1%

= $250

So,

Net sales = Sales- Sales discount

= $25,000 - $250

= $24,750

Suppose that a small family farm sold its output for $100,000 in a given year. The family spent $25,000 on fuel, $40,000 on seed, fertilizer, and pesticides, and $25,000 on equipment, including maintenance. The family members could have earned $10,000 working at other occupations. Refer to Scenario 13-21. What is the economic profit for the family farm

Answers

Answer:

0

Explanation:

Economic profit = accounting profit - implicit cost

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

accounting profit = revenue - explicit cost

Explicit cost includes the amount expended in running the business.

100,000 - (25,000 + 40,000 + 25,000) = 10,000

economic profit = 10,000 - 10,000 = 0

Furniture, Inc., estimates the following number of mattress sales for the first four months of 2019: Month Sales January 29,000 February 40,800 March 34,600 April 36,200 Finished goods inventory at the end of December is 7,000 units. Target ending finished goods inventory is 20% of the next month's sales. How many mattresses need to be produced in January 2019?
Select one:
a. 27,800 mattresses
b. 41,800 mattresses
c. 30,160 mattresses
d. 44,160 mattresses

Answers

Answer:

c. 30,160 mattresses

Explanation:

At the beginning of January, we had 7,000 units as opening stock inventory( which was the ending inventory in December), which means out of the planned sales in January 7,000 units are already available

The balance of January sales to be produced in January is the excess of planned sales of 29,000 units over the beginning inventory of 9,000 units

January sales items to be produced in January=29000-7000

January sales items to be produced in January=22,000

Also, we need to produce 20% of February sales in January which would serve as the closing inventory

total production in January=22,000+(40,800*20%)

total production in January=. 30,160 mattresses

What training would you provide to the supervisors who conduct job interviews? What are some primary safety concerns that the company should have about the warehouse operation? What OSHA guidelines do the company need to follow and communicate to employees? What kind of disabilities do you think could be reasonably accommodated for this job position?

Answers

Answer:

Kindly check explanation

Explanation:

For a Supervisor to be deemed capable of conducting a job interview, such individual must posses requisite knowledge about laws guiding the provision of employment, will include both the federal and state employment laws and act, information and provision about equal opportunity for employment and the framework of the labor force.

Primary safety concerns on warehouse operation:

Heavy equipment handling, this include knowledge on the use of heavy machines, restricted areas which must be avoided dduring its use. Similarly, heavy material lifting techniques to avoid back injury.

Also, harmful substances should be given special attention and workers should be trained to avoid prolonged exposure.

3.)

Safety tips and guidelines as outlined and provided by OSHA must be emphaxised and enforced. And workers must be continually updated on new directives as provide by OSHA.

4.)

An impairment which could still be accommodated is hearing ; such a person Can still be aided by following the lead of others and use of sign language or written notes. Visual or impairment of the limbs seems extreme and dies not seem manageable.

A company is an organization or commercial business setup. The supervisors conducting interviews must be well versed with laws regarding employment.

What is employee safety?

Workplace safeties are the conditions and environment that include and cover the health, safety, and well-being of the employees.

A person conducting interviews in a company must be thorough with laws regarding employment. The laws should be both federal and state law and must include the rights of the employees.

In warehouse operations, the handling of the heavy equipment must be proper and includes the proper and complete knowledge of the machines and the equipment.

According to OSHA, the guidelines provided must be followed to ensure safety and should be enforced in the companies for security purposes.

A mute or hearing impaired person can be accommodated in places like this as they can see things to perform the tasks but will not be able to listen and talk but can be communicated in sign languages.

Therefore, safety guidelines by OSHA must be followed.

Learn more about employees here:

https://brainly.com/question/20910158

You are a bidder in an independent private values auction, and you value the object at $4,000. Each bidder perceives that valuations are uniformly distributed between $1,500 and $9,000. Determine your optimal bidding strategy in a first-price, sealed-bid auction when the total number of bidders (including you) is:

Answers

Answer:

a. 2 bidders $2,750

b. 10 bidders $3,750

c. 100 bidders $3,975

Explanation:

Calculation to determine what your optimal bidding strategy in a first-price, sealed-bid auction when the total number of bidders (including you) is:

Using this formula

Optimal bidding = Bidder's own valuation - (Bidder's own valuation - Lowest valuation) ÷ Number of bidders

Let plug in the formula

a) 2 bidders

Optimal bid = $4,000 - [($4,000 - $1,500) ÷ 2]

Optimal bid = $4,000 - ($2,500÷2)

Optimal bid = $4,000 - $1,250

Optimal bid = $2,750

b) 10 bidders

Optimal bid = $4,000 - ($4,000 - $1,500) ÷ 10

Optimal bid = $4,000 - ($2,500÷10)

Optimal bid = $4,000 -$250

Optimal bid =$3,750

c) 100 bidders

Optimal bid = $4,000 - ($4,000 - $1,500) ÷ 100

Optimal bid = $4,000 - ($2,500÷100)

Optimal bid = $4,000-$25

Optimal bid = $3,975

Therefore your optimal bidding strategy in a first-price, sealed-bid auction when the total number of bidders (including you) is:

a. 2 bidders $2,750

b. 10 bidders $3,750

c. 100 bidders $3,975

Other Questions
a particle travels 24.6km in 30 minutes. find the speed of the particle in km/h Choose the best word to complete the following sentence.The ____ end to the performance left many surprised.a.quickc.rapidb.abruptd.immediatePlease select the best answer from the choices providedABCD pasagot plizzz kung sino makasagot ng tamang sagot ibebrainliest ko find the value of x. what is the relationship of these 2 angles? set up and solve an equation What is the equilibrium expression for the reaction below?C(s) + O2(9)2009)[0][c]O A.[CO]O B.1C OC.[co][0][c]CO2]D. A washing machine is packaged in a box that is one meter wide, 1.5 meters long and 1.75 meters tall. What is the surface area of the box? which of the following roles did american women not take during world war ll to assist the allies in winning the war?A. driving ambulances to save soldiersB. soldiers on the front linesC. decoding messagesD. producing ammunition Chang knows one side of a triangle is 13 cm. Which set of two sides iS possible for the lengths of the other two sidesof this triangle?O 5 cm and 8 cm 6 cm and 7 cm 7O 7 cm and 2 cm 8 cm and 9 cm How is mitosis different in plants and animals? Cold War tensions between the United States and the Soviet Union resulted in both nations:-leaving the United Nations.-hosting rival U.N. meetings.-blocking the other's allies from joining the U.N. General Assembly.-vetoing resolutions favorable to the other in the U.N. Security Council. The picture is above Ill mark as brainliest. What best describes the narrator's mood?O inspiredO mournfulO botheredO sympathetic why do medications require different routes into the body The diameter of a circle is 8 kilometers.What is the circle's area?PLEASE HELP Consider this expression. 6 x +24Which of the following are equivalent to the expression?Select the three equivalent expressions.A. 6(x +4)B. 6(x + 24)C. 3(12 + 2x)D. 2(3x + 12)E. 3 + 3 + 20 + 4F 4x + 12 + 2x + 12 What invertebrates only live in salt water?spongesechinodermsmolluskscnidaria Algernon. It is awfully hard work doing nothing.The Importance of Being Earnest,Oscar WildeWhich statement best explains the paradox in this line?No one would agree that doing nothing is hard work, so the statement is clearly meant as a joke.Algernon thinks that doing nothing is hard work, but he does not actually know what hard work is like.Doing nothing seems like it should be quite easy, but sometimes it really can be difficult to do nothing. WILL MARK BRANLIEST AND YOULL GET 100 PTS!!!!!!Which two points satisfy y = -x2 + 2x + 4 and x + y = 4?A. (0, 4) and (4, 0)B. (0, 4) and (3, 1)C. (7, -3) and (0, 4)D. (7, -3) and (4, 0) Can yall please help me with this, pls try to explain in it steps, ty. What is the area of the parallelogram shown?