November Avenue, Inc. wants to have $7,500,000 in an account exactly 16 years from today. They will make equal quarterly payments of $50,000 beginning next quarter and ending in 16 years. The account earns 8.00% p.a., compounded quarterly. November Avenue must have $_______ in its account today.

Answers

Answer 1

Answer:

$315,717.03  

Explanation:

Let us start by first of determining the future value of $50,000 quarterly payments for 16 years using the future value of an ordinary annuity provided below:

FV=quarterly payment*(1+r)^n-1/r

quarterly payment=$50,000

r=quarterly interest rate=8%/4=2%

n=number of quarterly payments in 16 years=16*4=64

FV=$50,000*(1+2%)^64-1/2%

FV=$50,000*(1.02)^64-1/0.02

FV=$50,000*(3.551493243 -1)/0.02

FV=$50,000*2.551493243 /0.02

FV=$6,378,733.11

The future value above fell short of the target $7,500,000, it means a fixed amount would have to be invested at 8% compounded quarterly for 16 years as well

shortfall=$7,500,000-$6,378,733.11=$1,121,266.89

The present value of the shortfall that would be invested today is computed

PV=FV/(1+r)^n

FV=$1,121,266.89

r=quarterly interest rate=2%

n=number of quarters in 16 years=64

PV=$1,121,266.89/(1+2%)^64

PV=$315,717.03  


Related Questions

Following are the transactions of a new company called Pose-for-Pics. Aug. 1 Madison Harris, the owner, invested $12,000 cash and $51,600 of photography equipment in the company in exchange for common stock. 2 The company paid $3,900 cash for an insurance policy covering the next 24 months. 5 The company purchased office supplies for $2,280 cash. 20 The company received $3,700 cash in photography fees earned. 31 The company paid $878 cash for August utilities. Prepare general journal entries for the above transactions.

Answers

Answer and Explanation:

The journal entries are shown below:

(i) On August 1,

Cash A/c Dr. $12,000

photography equipment A/c Dr. $51,600  

             To common stock   $63,600

(Being the issuance of common stock for cash and photography equipment is recorded)

(ii) On August 2,

Prepaid insurance A/c Dr. $3,900

           To cash $3,900

(Being the cash paid in advance for insurance is recorded)  

(iii) On August 5,  

Office supplies A/c Dr. $2,280  

          To cash                       $2,280

(Being the cash paid for office supplies is recorded)

(iv) On August 20,

Cash A/c Dr. $3,700

     To photography fees earned $3,700

(Being the photography fees earned is recorded)

(v) On August 31,

Utilities A/c Dr. $878

      To cash A/c    $878

(Being the cash paid for utilities)

You want to have $100,000 in 30 years to pay for your long-awaited cruise around the world. You open a savings bank account for this purpose, and you want to reach the above sum by making equal annual deposits. You will make the first deposit today and the last one in 30 years. You are assured to earn an EAR of 5% on money deposited in your account. Your annual payments should be (rounded to the nearest dollar):

Answers

Answer:

the annual payment should be $6,505

Explanation:

The computation of the annual payment should be

Annual Payment = P × r × (1+r)^n÷ (1+r)^n - 1

= 100,000 × 0.05 × (1 +0.05^)30 ÷ (1 + 0.05)^30 - 1

= 100,000×   0.05 ×  4.32194237515 ÷   4.32194237515 - 1

= $6,505

Hence, the annual payment should be $6,505

what are the benefits of intrapreneurship to the Country​

Answers

Answer:Organizations that have embraced Intrapreneurship have achieved higher financial returns, increased productivity, more innovation and higher levels of employee engagement.

South Africa mined 697,000 metric tons of aluminum in 2016. China mined 31,200,000
metric tons of aluminum in 2016. Which country had the absolute advantage?
A. South Africa
B. China

Answers

Answer:

China

Explanation:

Whenever a manufacturer can create an item or function in larger volume for the similar price, or even the same amount at a cheaper price, than other suppliers, he or she has an absolute advantage Large profits from commerce amongst suppliers of various commodities with differing absolute advantages might be based on absolute advantage.

Suppose Ruston Company had the following results related to cash flows for 2020: Net Income of $9,100,000 Adjustments from Operating Activities of $1,100,000 Net Cash Flow from Investing Activities of -$4,300,000 Net Cash Flow from Financing Activities of $3,400,000 Create a statement of cash flows with amounts in thousands. What is the Net Cash Flow

Answers

Answer:

The Net Cash Flow is $9,300,000.

Explanation:

A statement of cash flows with amounts in thousands can be created to determine the Net Cash Flow as follows:

                             Ruston Company

                       Statement of Cash Flows

                              For the Year 2020

Details                                                                    $'000    

Net Income                                                            9,100

Adjustments from Operating Activities                1,100  

Net Cash Flow from Operating Activities         10,200

Net Cash Flow from Investing Activities           (4,300)

Net Cash Flow from Financing Activities of      3,400  

Net Cash Flow                                                     9,300  

Since the amount is in thousands, that implies that  the Net Cash Flow is $9,300,000.

Brewery Company’s debt to Credit Service is past due. Credit obtains a judgment against Brewery, but the firm refuses to pay. Credit asks the court to order the seizure of Brewery’s property. This is a request for

Answers

Answer:

mechanic's lien

Explanation:

From the question we are informed about how Brewery Company’s debt to Credit Service is past due. Credit obtains a judgment against Brewery, but the firm refuses to pay. Credit asks the court to order the seizure of Brewery’s property. In this case, This is a request for mechanic's lien.

Mechanic's lien can be regarded as security interest as regards title of a particular property, this is for the gains of everyone that are involved in supplier of labor as well as materials for the improvement of the property. The lien covers the real property as well as personal property. Mechanic's lien can be regarded as guarantee of payment for contractors as well as construction firms that are involved in building or repairing of structures.

Take It All Away has a cost of equity of 10.60 percent, a pretax cost of debt of 5.31 percent, and a tax rate of 40 percent. The company's capital structure consists of 70 percent debt on a book value basis, but debt is 30 percent of the company's value on a market value basis. What is the company's WACC

Answers

Answer: 8.38%

Explanation:

When calculating Weighted Average Cost of Capital (WACC), use the market values.

WACC:

= (Cost of equity * Proportion of equity) + (After tax cost of debt * Proportion of debt)

If debt is 30% then equity will be 70%.

WACC = (10.60% * 70%) + ( 5.31% * (1 - 40% tax rate) * 30%)

= 7.42% + 0.9558%

= 8.38%

UNT Inc. is expected to pay a dividend of $1.50 per share at the end of year 1(Div1), and the dividends are expected to grow at a constant rate of 2 percent forever. If the current price of the stock is $30 per share, calculate the expected return or the cost of equity capital for the firm.

Answers

Answer:

The expected return or the cost of equity capital for the firm is 7%.

Explanation:

This is calculated by using the Gordon growth model (GGM) formula as follows:

P = Div1/(r - g) ……………………………………… (1)

Where;

P = current price share = $30

Div1 = Expected dividend at the end of year 1 = $1.50

r = expected return = ?

g = dividend constant growth forever = 2%, or 0.02

Substituting the values into equation and solve for r, we have:

30 = 1.50 / (r - 0.02)

30(r – 0.02) = 1.50

30r – 0.60 = 1.50

30r = 1.50 + 0.60

r = (1.50 + 0.60) / 30 = 0.07, or 7%

Therefore, the expected return or the cost of equity capital for the firm is 7%.

What happens when employees interact with policies, processes, and technologies and perform their role in the organization?

Answers

As your organization’s leaders create and enforce policies, it’s important to make sure your staff understands why following policies and procedures is critical.

Here are just a few of the positive outcomes of following policies and procedures:

Consistent processes and structures

Policies and procedures keep operations from devolving into complete chaos.

When everyone is following policies and procedures, your organization can run smoothly. Management structures and teams operate as they’re meant to. And mistakes and hiccups in processes can be quickly identified and addressed.

When your staff is following policies and procedures, your organization will use time and resources more efficiently. You’ll be able to grow and achieve your goals as an organization.

Consistency in practices is also right for employees individually. They know what they’re responsible for, what’s expected of them, and what they can expect from their supervisors and co-workers. This frees them up to do their jobs with confidence and excellence.

At the end of January, Mineral Labs had an inventory of 945 units, which cost $11 per unit to produce. During February the company produced 1,750 units at a cost of $15 per unit.
a. If the firm sold 2,550 units in February, what was the cost of goods sold?
b. If the firm sold 2,550 units in February, what was the cost of goods sold?

Answers

Answer: $34,470

Explanation:

a. Cost of goods sold for $2,550 units

The inventory sold will include the 945 units which cost $11 to produce.

It will get the rest from the 1,750 units which cost $15 to produce.

The remaining units are:

= 2,550 - 945

= 1,605 units

Total cost of goods sold:

= (945 * 11) + (1,605 * 15)

= 10,395 + 24,075

= $34,470

Evaluate the usefulness of a Business Plan for your start up business idea

Answers

Explanation:

Gain a Deep Understanding of Your Market. ...

Organization. ...

Practice Makes Perfect. ...

Confirm the Math. ...

Iron Out Possible Kinks. ...

Foster Alignment

If one U.S. dollar was worth 1.22 Canadian dollars when Sal went to a debate tournament in Toronto, and he had $300 in U.S. currency as spending money, how much was his money worth in Canadian dollars?

Answers

Answer:

366

Explanation:

300 x 1.22

What routine do the workers of the Party go through each day, which is a great example of herd-poisoning

Answers

Question is incomplete but here's what herd poisoning means so you could relate it

Answer and Explanation:

Herd poisoning occurs when an individual loses his sense of self amidst the crowd. The individual is like an ant following in the order of the whole group. There is less reasoning individually and more of what the group decides. Herd poisoning is like an intoxifying excitement and power that a person experiences by associating or giving away his sense of individuality and reasoning to the crowd. For this person, it is no longer about him but the group as a whole and whatever actions or reasoning are handled by the group together. It is a sort of negative mob mentality.

You are considering purchasing a bond with 18 years to maturity, a $1,000 face value and a 5% coupon rate with interest paid semiannually. Interest rates on bonds in this risk class have dropped to 3% and you expect that this bond will be called in 3 years. The current price of the bond is $1,075.00. Assuming you would be paid one year's worth of interest as a premium if the bond is called, what is the yield to call on this bond?
a. 5.43%.
b. 3.91%.
c. 0 2.93%.
d. 1.86%.

Answers

Answer:

b. 3.91%.

Explanation:

The computation of the yield to call is given below

Given that

NPER = 3× 2 = 6

PMT = $1,000 × 5% ×1 ÷2 = $25

PV = $1,075

FV = $1,000 + $50 = $1,050

The formula is given below:

=RATE(NPER,PMT,-PV,FV,TYPE)

After applying the above formula, the yield to call is

= 1.9565% × 2

= 3.91%

Jake pays the following amounts to his former spouse during the current year: Regular alimony payments $12,000 Child support 10,000 Residence as part of a property settlement 115,000 What amount can Jake deduct as alimony for the current year

Answers

Answer:

Divorce after 2020 = Alimony is $0Divorce before 2020 = Alimony is $12,000

Explanation:

If the divorce occurred before 2020 then the spouse paying the alimony can deduct it from their taxes and the person receiving it has to include it in their income. If the divorce of Jake and his spouse was before 2020, he will be able to include the full $12,000 as a deduction.

In 2020, new regulation came into effect that meant that couples divorcing from thence will not be able to deduct alimony so Jake's deduction would be $0 if they divorced in 2020 and onwards.

The following information is available for the first month of operations of Bahadir Company, a manufacturer of mechanical pencils: Sales $278,670 Gross profit 162,460 Cost of goods manufactured 139,340 Indirect labor 60,470 Factory depreciation 9,200 Materials purchased 85,830 Total manufacturing costs for the period 160,240 Materials inventory, ending 11,430Using the above information, determine the following missing amounts a. Cost of goods sold b. Finished goods inventory at the end of the month c. Direct materials cost d. Direct labor cost e. Work in process inventory at the end of the month

Answers

Answer:

a. Cost of Goods sold:

= Sales - Gross profit

= 278,670 - 162,460

= $116,210

b. Finished goods:

= Cost of Goods manufactured - Cost of goods sold

= 139,340 - 116,210

= $23,130

c. Direct materials cost

= Materials purchased - Ending materials inventory

= 85,830 - 11,430

= $74,400

d. Direct labor cost:

= Manufacturing costs - Direct materials cost - Factory overheads

= 160,240 - 74,400 - (Indirect labor + Depreciation)

= 160,240 - 74,400 - (60,470 + 9,200)

= $16,170

e. Work in process:

= Manufacturing costs - Cost of Goods manufactured

= 160,240 - 139,340

= $20,900

The following relates to a proposed equipment purchase: Cost $ 157,000 Salvage value $ 5,000 Estimated useful life 4 years Annual net cash flows $ 52,600 Depreciation method Straight-line Ignoring income taxes, the annual net income amount used to calculate the accounting rate of return is

Answers

Answer:

$14,850

Explanation:

Depreciable amount = $158,000 - $5,000 = $153,000

Annual depreciation = $38,250

Annual net income = $53,100 - $38,250 = $14,850.

Therefore, the annual net income amount used to calculate the accounting rate of return is $14,850

You are a provider of portfolio insurance and are establishing a four-year program. The portfolio you manage is currently worth $150 million, and you promise to provide a minimum return of 0%. The equity portfolio has a standard deviation of 25% per year, and T-bills pay 7.5% per year. Assume that the portfolio pays no dividends.

Required:
a. What percentage of the portfolio should be placed in bills?
b. What percentage of the portfolio should be placed in equity?

Answers

Answer:

sorry but I don't know sorry

Rosie is an employee of Social Media Company. At the end of a successful unionization campaign, Tech Workers Union is certified as the employees’ bargaining representative. Rosie refuses to join the union. For this refusal, under the National Labor Relations Act, the union can force the company to

Answers

Answer: d. none of the choices.

Explanation:

Joining a union is a voluntary act which means that if a person decides not to join one, not much can be done about it by the Union.

The Union cannot compel the company to discharge or fire the employee, neither can they encourage them to deny the employee a promotion or discriminate against the employee in their employment of the employee.

The main disadvantage of not being in a trade union is that they will not represent you in disputes against the company.

Identify the following costs as a prime cost, conversion cost, or both for an automobile manufacturer: a. Wages of employees that operate painting equipment b. Wages of the plant manager Prime cost c. Steel d. Oil used for assembly line machinery

Answers

Answer and Explanation:

The classification is shown below:

a. It is both prime and conversion cost

b. It is a conversion cost

c. It is a prime cost

d. It is a conversion cost

In this way these four transactions should be classified as the prime cost, conversion cost or both

The same should be considered and relevant

Devil's advocacy:_____.a. involves generating a plan and a counterplan that reflects plausible conflicting courses of action. b. includes downplaying the problems that could result from implementing a particular plan. c. hides the possible perils of a recommended course of action. d. involves generating a plan and a critical analysis of that plan. e. is an example of ivory tower planning.

Answers

Answer:

d. involves generating a plan and a critical analysis of that plan.

Explanation:

The devil's advocacy is a decision-making technique in which an individual in a group is permitted to become the critic in the decision that should be taken in near future. It prevents the group thinking and increased the high quality decision chances. Also it prevents in making expensive along with the risky decisions

So as per the given options, the option d is correct

Compute the Cost of Goods Sold for 2016 using the following information: Direct Materials, Jan. 1, 2016$50,000 Work-in-Process, Dec. 31, 2016 74,500 Direct Labor 58,500 Finished Goods, Dec. 31, 2016 125,000 Finished Goods, Jan. 1, 2016 158,000 Manufacturing Overhead 79,500 Direct Materials, Dec. 31, 2016 63,000 Work-in Process, Jan. 1, 2016 107,000 Purchases of Direct Material 95,000

Answers

Answer:

COGS= $154,500

Explanation:

First, we need to calculate the cost of goods manufactured:

cost of goods manufactured= beginning WIP + direct materials + direct labor + allocated manufacturing overhead - Ending WIP

Direct material used= beginning inventory + purchases - ending inventory

Direct material used= 50,000 + 95,000 - 63,000= $82,000

cost of goods manufactured= 74,500 + 82,000 + 58,500 + 79,500 - 107,000

cost of goods manufactured= $187,500

Now, the cost of goods sold:

COGS= beginning finished inventory + cost of goods manufactured - ending finished inventory

COGS= 125,000 + 187,500 - 158,000

COGS= $154,500

The market shares of the top five firms in the dishware industry are 18%, 32%, 11%, 14%, and 8%. What is the four-firm concentration ratio for the dishware industry

Answers

Answer:

75%

Explanation:

Calculation to determine the four-firm concentration ratio for the dishware industry

Four-firm concentration ratio =18%+32%+11%+14%

Four-firm concentration ratio=75%

Therefore the four-firm concentration ratio for the dishware industry is 75%

Corporation ABC invested in a project that will generate $60,000 annual after-tax cash flow in years 0 and 1 and $40,000 annual after-tax cash flow in years 2, 3, and 4. Compute the NPV of these cash flows assuming that:

a. ABC uses a 10 percent discount rate.
b. ABC uses a 7 percent discount rate.
c. ABC uses a 4 percent discount rate.

Answers

Answer:

a. $204,940

b.$214,180

c. $224,480

Explanation:

a. Computation for the NPV of these cash flows assuming that ABC uses a 10 percent discount rate.

NPV= $60,000 + 0.909($60,000) + 0.826($40,000) + 0.751($40,000) + 0.683($40,000)

NPV=$60,000+$54,540+$33,040+$30,040+$27,320

NPV = $204,940

Therefore the NPV of these cash flows assuming that ABC uses a 10 percent discount rate is $204,940

b. Computation for the NPV of these cash flows assuming that ABC uses a 7 percent discount rate.

NPV=$60,000 + 0.935($60,000) + 0.873($40,000) + 0.816($40,000) + 0.763($40,000)

NPV=$60,000+$56,100+$34,920+$32,640+$30,520

NPV= $214,180

Therefore the NPV of these cash flows assuming that ABC uses a 7 percent discount rate is $214,180

c. Computation for the NPV of these cash flows

assuming that ABC uses a 4 percent discount rate.

NPV=$60,000 + 0.962($60,000) + 0.925($40,000) + 0.889($40,000) + 0.855($40,000)

NPV=$60,000+$57,720+$37,000+$35,560+$34,200

NPV= $224,480

Therefore the NPV of these cash flows

assuming that ABC uses a 4 percent discount rate is $224,480

During the economic downturn of 2008-2009, the Federal Reserve a. took the unusual step of using open-market operations to purchase mortgages and corporate debt. b. explicitly set its target rate of inflation well above zero. c. used open-market operations to purchase mortgages and corporate debt, just as it frequently does even when the economy is functioning normally. d. explicitly set its target rate of inflation at zero.

Answers

Answer: a. took the unusual step of using open-market operations to purchase mortgages and corporate debt.

Explanation:

During the Great Recession of 2008 - 2009, the Fed realized that it could not sit idly by as it had done during the Great Depression of 1929 and so decided to take some drastic measures to rescue the financial system.

One such measure was the use of open market operations to buy mortgages and corporate debt. The Mortgage market crashing primarily the cause of the crises so the Fed bough them up trying to prop up the market with the hope that the real estate market would begin to recover.

Abraham told Linda that if she did not sign over her stock options to him he would inflict bodily harm on her and her family. Linda quickly signs over all of her stock options. This is known as _______.

a. negligence
b. coercion
c. manipulation
d. duress
e. breach of duty

Answers

Answer:

d) Duress

Explanation:

From the question we are informed about Abraham who told Linda that if she did not sign over her stock options to him he would inflict bodily harm on her and her family. Linda quickly signs over all of her stock options. This is known as Duress.

Duress can be regarded as an act which involves the use of force, psychological pressure as well as

coercion and threats or other means to make sure that someone act against his or her wishes. Whenever an individual act under duress, then their act is not from their own free will and this is treatable just accordingly when it comes to court proceedings.

Signal mistakenly produced 1,000 defective cell phones. The phones cost $60 each to produce. A salvage company will buy the defective phones as they are for $30 each. It would cost Signal $80 per phone to rework the phones. If the phones are reworked, Signal could sell them for $120 each. Signal has excess capacity. Should Signal scrap or rework the phones

Answers

Answer:

Signal Company

Signal should rework the phones with its excess capacity.  Reworking reduces its loss by $10,000 (or $10 per phone).

Explanation:

a) Data and Calculations:

Number of defective cell phones produced = 1,000

Cost of production per phone = $60

Salvage value per phone = $30

Additional rework cost per phone = $80

Selling price after reworking per phone = $120

Differential Analysis:

                                     Scrap         Rework       Difference

Sales revenue          $30,000      $120,000       $90,000

Cost of production    60,000         140,000         80,000

Loss                         $30,000        $20,000        $10,000

Per unit calculations:

                                     Scrap         Rework       Difference

Sales revenue              $30              $120              $90

Cost of production        60                 140                80

Loss                             $30                $20              $10

Various financial data for SunPath Manufacturing for 2019 and 2020 follow.

2019 2020
Output: Sales $300,000 $330,000
Inputs: Labor 40,000 43,000
Raw Materials 45,000 51,000
Energy 10,000 9,000
Capital Employed 250,000 262,000
Other 2,000 6,000

Required:
What is the percentage change in the multifactor labor and raw materials productivity measure for SunPath between 2019 and 2020?

Answers

Answer:

-0.53191

Explanation:

The computation of the percentage change is given below:

Productivity

In the year 2019 is

= $300,000 ÷ (40,000 + 45,000)

= 3.5294118

In the year 2020 is

= $330,000 ÷ (43,000 + 51,000)

= 3.5106383

Now the percentage change is

= (3.5106383 -  3.5294118)  ÷ 3.5294118

= -0.53191

The percentage change in the multifactor labor and raw materials productivity measure from 2019 to 2020 was -0.53%

The multifactor labor and raw materials productivity measure is calculated by the formula:

= Sales / (Raw materials + labor)

In 2019 this was:

= 300,000 / (40,000 + 45,000)

= 3.5294

In 2020 it was:

= 330,000 / (43,000 + 51,000)

= 3.5106

The percentage difference is:

= (3.5106 - 3.5294) / 3.5294

= -0.0188 / 3.5294

= -0.53 %

The percentage change was therefore -0.53%.

Find out more at https://brainly.com/question/14936908.

Meteor Tie Company produces ties from fabric according to Q = 10 + 4 F – (1/3) F 3. If fabric is free and ties sell for $20, what is Meteor’s optimal usage of fabric?

Answers

Answer:

The optimal usage of fabric = 2

Explanation:

Given the quantity, Q = 10 + 4F - (1/3) F^3

Selling price = $20

Profit = TR - TC

There is no variable cost and let the fixed cost is constant G.

Profit =  PQ - G  

Profit = 20(10 + 4F − (1/3)F^3)) - G = 0

Now take the first order derivative:

d(profit) / dF = 0

20(4 - F^2) = 0

F = 2

Therefore the optimal usage of fabric = 2

Sales of hot dogs at the corner of 24th and Lex. follow the following patterns: 40% of the days, 80 are sold; 50% of the days, 90 are sold; and the remaining days,100 are sold. Given the vendor plans to stock 90 each day, What approx. expected CSL is the vendor targeting

Answers

Answer: 90%

Explanation:

Cycle Service Level refers to the expected probability by which a manufacturer meets the demand for a particular product and is not being stockout.

In this case,

40% of the days, 80 are sold;

50% of the days, 90 are sold

10% of the days; 100 are sold.

Since the vendor plans to stock 90 each day, then the vendor will meet demand during 40% of the days, when 80 are sold; and during 50% of the days, when 90 are sold.

Therefore, the expected CSL is the vendor targeting will be:

= 40% + 50%

= 90%

Other Questions
Does anyone know the answer?? Please help asap, I would like to double check my answer with someone. Thank youDuring the Era of Warring States in China,Confucius was advocating forA. peaceful protestB. obedienceC. civil disobedienceD. free speech Help me please i have no idea how to do this 2.Nm 1908, di nh hng trc tip ca phong tro Duy Tn, Trung K 10 imA. thu ht nhiu thanh nin tham gia phong tro ng DuB. bng n khi ngha do Phan Chu Trinh lnh oC. din ra phong tro chng i phu, chng su thuD. ra i nhiu t chc b mt do Phan Xch Long ng u ? Describe two distinct reasons why someone who has never used a drug in his or her life might refuse a test at work. Convert those reasons into well-founded ethical arguments. Difference between gravitational force and frictional ba x th c lp bn vo mt mc tiu. xc sut bn trng tng ng l 0,8; 0,7; 0,6. mi x th bn mt vin. gi X l s vin bn trng.a) lp bng phn phi xc sut.b) tnh E(X) v VAR(X) Change the given sentences using must, can't, or may/might a) I'm sure he is sleeping. b) Certainly he was at home. c) Perhaps she hasn't got the invitation d) I'm sure they didn't take the bus. e) Probably she is absent. Which is the angle of depression from b to c1.) Using a little - Little - A few - few - a great deal of - hardly and of and Example sentence. Expand and simplify the following. Show all the steps.a. -4(a-4)b. 3a(a+2)c. 4x - 2(5 - x)d (x-3)(x+2)e (x+4)2 State TRUE or FALSE. 1. We use muscular force to lift a bucket of water. 2. A bow uses mechanical force of the bow string to shoot an arrow. 3. The force of friction enables us to walk on earth. 4. Plants use solar energy to make their food. 5. The energy stored inside the earth is called atomic energy 11. How many oxygen atoms are there in one formula unit of Ca2+? during a special seasonal sale,a wholesaler allows retailers trade discount of 15% and 10% for prompt cash payment.Calculate the cash price of an article which is marked 115 cedis In the U.S., the first federal regulations for human subjects research began in 1981 with the codification of the ________. Common Rule Nuremberg Code Declaration of Helsinki Belmont Report Hariqbal is preparing an online dating profile. One of the questions for the profile is whether he is a romantic person. In order to answer this question, Hariqbal thinks back on some of his most recent actions. Since in the past week he read a book of love poems, enjoyed a dramatic film, and took a long walk by the beach, he decides that he must be a romantic person. What process has Hariqbal engaged in Lena is asked to write an explicit formula for the graphed geometric sequence.On a coordinate plane, 3 points are plotted. The points are (1, 1), (2, 2.5), (3, 6.25).What value, written as a decimal, should Lena use as the common ratio A ball is thrown straight up from a rooftop 320 feet high. The formula below describes the ball's height above the ground, h, in feet, t seconds after it was thrown. The ball misses the rooftop on its way down and eventually strikes the ground. How long will it take for the ball to hit the ground? Use this information to provide tick marks with appropriate numbers along the horizontal axis in the figure shown.h=-16t^2+16t+320The ball hits the ground after____ seconds Abolitionist rallies often featured formerly enslaved speakers such asSelect the best answer from the choices provided.A.William Lloyd GarrisonB.Sojourner TruthC.Nat TurnerD.Elizabeth Cady Stanton