If Jane Key invests $18,527.74 now and she will receive $40,000 at the end of 10 years, what annual rate of interest will she be earning on her investment?
A. 8.5%
B. 10%
C. 8%
D. 9%

Answers

Answer 1

Answer:

C. 8%

Explanation:

Future value factor:

= $18527.74 / $40000

= 0.4631935

At 8% for 10 years the future value factor is 0.4631935

Note: Proof of calculation is attached below as picture

If Jane Key Invests $18,527.74 Now And She Will Receive $40,000 At The End Of 10 Years, What Annual Rate

Related Questions

Choose the true statement about Josephson's Core Values Model for ethical decision-making.a.) Profitability is a core value that lies at the heart of the model.b.) The profitability of a company has no place in ethical decision-making.c.) Profitability is one consideration of the model, especially as it relates to stakeholders, but it is not the most important consideration.d.) Considering profitability ensures that the most ethical decision will be made.

Answers

Answer:

c.) Profitability is one consideration of the model, especially as it relates to stakeholders, but it is not the most important consideration.

Explanation:

The main focus of the Josephson's Core Values Model is placed on

trustworthinessrespectresponsibilityfairnesscaringcitizenship

But a corporation's stockholders are also important stakeholders and their needs cannot be simply put aside. The important thing is to satisfy stockholders' needs on an ethical way that benefits all stakeholders including consumers, government entities, the environment, etc.

In alphabetical order below are current asset items for Roland Company’s balance sheet at December 31, 2020.Accounts receivable $220,000 Cash 83,000 Finished goods 89,000 Prepaid expenses 44,000 Raw materials 94,000 Work in process 92,000 Prepare the current assets section.

Answers

Answer:

Total Current assets = $622,000

Explanation:

Balance sheet (For the year ending)

Current asses                   Amount    

Accounts receivable        $220,000

Cash                                  $83,000

Stock                                 $275,000

Finished goods $89,000  

Raw materials   $94,000

W.I.P                  $92,000

Prepaid expenses            $44,000    

Total Current assets        $622,000  

You may not feel like a tech guru yet, but you’re already an expert at navigating one piece of technology - your smartphone!

Choose one of the options below and discuss how you learned to use that feature on your smartphone. Answer in 5-7 sentences

Online Shopping
Voice Controls
Social Media
Your favorite App

Answers

Answer:

Online shopping,

I only recently learned how to do online shopping because of the worldwide pandemic. It was tricky at first. I had to set up my paypal with every store I signed up for. I thought that as soon as I make one account it would access all the other ones. Turned out I was wrong. I had to create one account for amazon then another for forever21 and one H&M. It was a hassle but then eventually I got the hang of it. And now I get notifications for sales and I can get most of my stuff online in a breeze. Although shoe shopping is still puzzling. Because I foot fits differently in different shoe types and brands.

THE END :)

A corporate bond with a 6.5 percent coupon has 15 years left to maturity. It has had a credit rating of BBB and a yield to maturity of 7.2 percent. The firm has recently gotten into some trouble and the rating agency is downgrading the bonds to BB. The new appropriate discount rate will be 8.5 percent. What will be the change in the bond's price in dollars and percentage terms

Answers

Answer:

Price change in dollars = $104.22

% decrease in price of dollars = 11.13%

Explanation:

We assume the corporate bond have a face value of $1,000

Face Value = $1000

Coupon = 6.5%*1000/2 =32.50

Number of Periods = 15*2 =30

Semi annual rate of BBB bond = 7.2%/2 =3.6%

Price of BBB Bond = PV of Coupons + PV of Par Value =

Price of BBB Bond = 32.50*(((1-(1+3.6%)^-30)/3.6%)+1000/(1+3.6%)^30

Price of BBB Bond = $936.43

Semiannual Discount Rate for BB bond = 8.5%/2 = 4.25%

Price of BB Bond = PV of Coupons + PV of Par Value

Price of BB Bond = 32.50*(((1-(1+4.25%)^-30)/4.25%)+1000/(1+4.25%)^30

Price of BB Bond= $832.21

Price change in dollars = $936.43 - $832.21

Price change in dollars = $104.22

% decrease in price of dollars = $104.22 / $936.43

% decrease in price of dollars = 0.111295025

% decrease in price of dollars = 11.13%

Price change in dollars is 104.22

And, in percentage it is 11.13%.

The calculation is as follows:

1. Face Value =1000

Coupon =6.5% ×1000 ÷ 2 =32.50

Number of Periods =15 × 2 =30

Semi annual rate of BBB bond =7.2% ÷ 2 =3.6%

Price of BBB Bond =PV of Coupons + PV of Par Value

=32.50 × (((1-(1+3.6%)^-30) ÷ 3.6%) + 1000/(1+3.6%)^30

=936.43

Now

Semiannual Discount Rate for BB bond =8.5% ÷2 =4.25%

Price of BB Bond =PV of Coupons + PV of Par Value

=32.50 × (((1-(1+4.25%)^-30) ÷ 4.25%)+1000 ÷ (1+4.25%)^30

=832.21

So,

Price change in dollars is

= 936.43 - 832.21

= 104.22

Now  

Percentage decrease in price of dollars is

= 104.22 ÷ 936.43

= 11.13%

learn more: https://brainly.com/question/17429689?referrer=searchResults

An electric iron was sold with 15% profit on selling price. If the profit
was Rs. 330, find the cost price and profit percent on cost price.​

Answers

Answer:

Cost price = Rs. 1,870

As a percentage = 17.65%

Explanation:

The electric iron box was sold with a 15% profit on the selling price. The profit was Rs. 330. It means 15% of the selling price is Rs. 330.

I.e., 15% x SP = Rs.330

SP = Rs. 330/15 x 100

SP = 22 x 100

Sp = Rs. 2200

The selling price is Rs. 2200

if the profit  is Rs.330, the cost price will be

=Rs.2200 - Rs 330

=Rs. 1,870

profit percentage of cost price

=330/1870 x 100

=0.176 x 100

=17.65%

Which statements about junk bonds are correct? Choose three correct answers

Answers

Answer: Edg 2021: A, B, E

Explanation:

Answer: the answers are

White is more than 25 percent in all regions.

At least 85 percent of the cars in every region are white, silver, black, or gray.

All the colors are consistently represented across regions.

Explanation: just incase some people get confused

The book value of an asset is primarily used to compute the: Multiple Choice annual depreciation tax shield. amount of tax due on the sale of an asset. amount of tax saved annually due to the depreciation expense. amount of cash that can be received from the sale of an asset. change in depreciation needed to reflect the market value of the asset.

Answers

Answer:

b. Amount of tax due on the sale of an asset

Explanation:

The book value of an asset is primarily used to compute the amount of tax due on the sale of an asset. The book value of an asset is value of asset on the company/ It is important to note that the book value is not a fair market value. Book value is an accounting and tax calculation. The salvage value of an asset is after-tax cash flow in an amount equal to sales price minus the tax due based on the sales price minus the book value.

Find out equilibrium price and output for the following market condition.
Demand function Qd--50-2P and
Supply function Qs = 3P​

Answers

Answer:

At equilibrium demand is equal to supply therefore  

Qd=Qs

50-2P=3P

By collecting like terms

50=3P+2P

50=5P

P=10

THEREFORE  equilibrium price  is 10

Explanation:

Match each organization and agreement with the phrase that best describes it.
is a regional organization that promotes
growth in Southeast Asia
EU
establishes a shared economy with a
common currency
ASEAN
is an international organization that
works to promote fair-trade practices
WTO
creates a free-trade zone between
Canada, the US, and Mexico
NAFTA

Answers

Answer:

see below

Explanation:

ASEAN : Is a regional organization that promotes growth in Southeast Asia. ASEAN is short for the  Association of Southeast Asian Nations. Its primary objective is to accelerate economic growth, promote peace,   social integration, and cultural development in Southeast Asia.

EU: Establishes a shared economy with a common currency.

The (EU) European Union is composed of  27 member states that are located in Europe. EU is political and economic union that has created a single market by eliminating border restrictions and the creation of a common currency.

WTO : An international organization that works to promote fair-trade practices. WTO stands for The World Trade Organization . The main objective of WTO body is to regulate and liberalize world trade.

NAFTA creates a free-trade zone between Canada, the US, and Mexico.

The North American Free Trade Agreement (NAFTA) minimized or eliminated most tariffs between these counties.

Answer:

NAFTA-creates a free trade zone between Canada the us and Mexico

WTO-is an international organization that works to promote fair trade practices

EU-establishes a shared economy with a common currency


ASEAN-is a regional organization that promotes growth in Southeast Asia

Marginal cost equals Group of answer choices the slope of the line drawn from the origin to the total cost curve. total output divided by the change in total cost. total cost divided by quantity of output produced. the slope of the total cost curve.

Answers

Answer: the slope of the total cost curve.

Explanation:

Marginal cost is the slope of the total cost curve because the slope of the total cost curve represents the change in cost per additional quantity produced or purchased which is the definition of what the Marginal cost is.

When marginal cost is the same as marginal revenue, the company is producing at a profit maximising quantity.

If commercial banks deposits are stable and the central bank purchased securities from commercial banks, this would:_______

a. Decrease reserves and increase leverage
b. Increase reserves and decrease leverage
c. Decrease total assets
d. Increase total assets
e. Both B and D

Answers

Answer: e. Both B and D

Explanation:

When the Central bank purchases securities, this is an expansionary monetary policy tool because it is introducing money into the economy. When the CB buys securities from commercial banks, the money that they pay to these banks will increase their reserves which will decrease their leverage.

With higher cash holdings, the banks will have more money to loan out which means that their total assets will increase as well.

How can questionnaires be distributed to potential respondents?

Answers

Answer:

Questionnaires can be administered by an interviewer or answered by the respondents themselves (self-administered). Self-administered questionnaires can be mailed or given in person to the respondents. ... Interviews conducted by interviewers can be personal (face-to-face) or by telephone

At its peak at the end of 1999, Microsoft had a market cap of $600B. PC sales were booming and most PCs ran on Microsoft software. Revenue was growing 30% per year. The P/E ratio peaked at nearly 80.Ox in 1999. Looking at this chart, what happened in the subsequent 15 years? A. The decline in the P/E ratio canceled out the decline in earnings and this pushed the market cap up. B. Earnings grew and this pushed the market cap up. C. The decline in the P/E ratio more than offset earnings growth and this pushed the market cap down. D. Earnings declined and this pushed the market cap down.

Answers

Answer: C. The decline in the P/E ratio more than offset earnings growth and this pushed the market cap down.

Explanation:

Market Cap = P/E ratio * Earnings

Market cap is dependent on both the P/E ratio and Earnings as shown by the formula and as shown on the graph, the P/E ratio kept on decreasing which means that for the Market Cap to decrease, the downward pull of the P/E ratio must have overshadowed the growth in earnings such that the Market Cap went down instead of up.

For instance, if the earnings were $40 billion and the P/E ratio was 15, Market Cap would be $600 billion.

If earnings increased to $45 billion but P/E ratio decreased to 10, Market Cap would become $450 billion.

A bank offers to lend you $10,000 for 1 year on a loan contract that calls for you tomake interest payments of $50.00 at the end of each month and then pay off theprincipal amount at the end of the year. What is the effective annual rate on the loan

Answers

Answer:

6.17%

Explanation:

The monthly rate of return on the loan is the monthly interest payment on the loan which is $50 divided by the principal amount borrowed.

The monthly rate of interest =$50/$10,000

The monthly rate of interest =0.50%

However, the effective annual rate is the rate of interest on the loan from an annual basis perspective using the formula below:

effective annual rate=(1+monthly interest rate)^n-1

monthly interest rate=0.50%

n=12(the number of monthly compounding in a year is 12)

effective annual rate=(1+0.50%)^12-1=6.17%

explain any five opportunities of
foreign employment

Answers

Five opportunities of foreign employment include :

Higher salaries and benefits Career adavncements Cultural immersion Language learning Personal growth

How can foreign employment be beneficial ?

One of the most significant opportunities of foreign employment is the potential for higher salaries and better benefits.  Foreign employment can also provide opportunities for career advancement, particularly for professionals in industries like technology, finance, and healthcare.

Working in a foreign country can also provide an opportunity for cultural immersion. Foreign employment can also provide an opportunity to learn a new language or improve existing language skills.

Find out more on foreign employment at https://brainly.com/question/14324543

#SPJ1

A stock currently sells for $50 per share, has an expected return of 15%, and an expected capital appreciation rate of 10%. What is the amount of the expected dividend

Answers

.50 cents per share for dividend

When a stock currently sells for $50 per share, has an expected return of 15%, and an expected capital appreciation rate of 10%. Then the amount of the expected dividend is $2.5.

The calculation of the amount of expected dividend is shown below.

Expected dividend = (Expected return - Capital appreciation rate) * Selling price

Expected dividend = (15% - 10%) * $50

Expected dividend = 5% * $50

Expected dividend = 0.05 * $50

Thus, Expected dividend = $2.5

What do you mean by dividend?

Dividends are referred to as incentives, which are in the form of payments to shareholders of a company. Dividend refers to a reward, cash or otherwise, that a company gives to its shareholders. Dividends are issued in various forms, such as cash payment, stocks or any other form.

What is the expected capital appreciation?

Capital appreciation refers to the difference between the purchase price and the selling price of an investment made. For instance, if an investor buys a stock for $10 per share, and the stock price rises to $12, the investor has earned $2 in capital appreciation.

Hence, the answer is given and explained above.

To learn more about dividend and capital appreciation here:

https://brainly.com/question/15574900

#SPJ2

If I travel to New York City from Boca Raton every weekend for 10 years, I am still considered a tourist in New York City.

Answers

Answer:

Yes

Explanation:

Yes, in any State or Country that you are not a permanent resident in you would be considered a tourist. In this scenario, you are a permanent resident of Boca Raton, Florida and only visiting New York City on weekends. Regardless of how frequent, since you are not a permanent resident and only travel on weekends to see the city or have fun then in the eyes of the law you are technically a tourist in the city.

Calculate a company's total leverage given the following information:

Change in sales = 3%
Change in earnings = 9%

Answers

Explanation:

Given that,

Change in sales = 3%

Change in earnings = 9%

We need to find a company's total leverage.

Total leverage is equal to the ratio of percentage change in earnings per share to percentage change in sales revenue.

[tex]\text{leverage }=\dfrac{9\%}{3\%}\\=3[/tex]

Hence, company's total leverage is 3 units.

A company's total leverage is 13.32. Change in sales = 3% and change in earnings = 9%.

We may calculate the DOL and DFL using the numbers of 3% change in sales and 9% change in earnings, and then multiply those values to obtain the DTL.

Degree of operating leverage (DOL) = (total sales - variable costs) ÷ EBIT

Degree of operating leverage (DOL) = 0.4 ÷ 0.09

Degree of operating leverage (DOL) = 4.44

Degree of financial leverage (DFL) = percentage change in EPS ÷ percentage change in EBIT

Degree of financial leverage (DFL) = 0.09 ÷ 0.03

Degree of financial leverage (DFL) = 3

Degree of total leverage (DTL) = DOL × DFL

Degree of total leverage (DTL) = 4.44 × 3

Degree of total leverage (DTL) = 13.32

Therefore, the company's total leverage is 13.32.

Learn more about on total leverage, here:

https://brainly.com/question/22984948

#SPJ6

A great feature of QuickBooks Online is that there are other lists you can utilize to make it easier to fill i forms Where would you go to find these lists? A. Go to the Gear icon and select All Lists B. Go to the Plus icon and choose All Lists C. Go to the Accounting screen and select All Lists D. Go to the Reports screen and select All Lists

Answers

Answer: A. Go to the Gear icon and select All Lists

Explanation:

QuickBooks online is an accounting software that is used by businesses to make business payments, to pay bills, and can also be utilized to perform payroll functions.

A great feature of QuickBooks Online is that there are other lists that one can use to make it easier to fill i forms and these list can be found in the gear icon where one would then select all lists.

why do projects fail ?​

Answers

Because they failed you

Kim, Chris, and Beth are all partners in a cosmetics firm. Kim is leaving the partnership and wants to sell her shares of the business, including the property owned by the partnership, to Chris and Beth. The remaining partners are not interested in buying Kim’s interests. Kim has been unable to find a buyer for her share of the partnership. She has now resorted to asking the court to either sell her shares or sell the entire property. What form of concurrent ownership applies?a. Partition Law Suitb. Tenants in Commonc. Joint Tenancyd. Separate Ownership

Answers

Answer: Joint Tenancy

Explanation:

Based on the information that is given in the question, the form of concurrent ownership that applies is the joint tenancy.

Joint tenancy occurs when two or more individuals own thesame property. As a result, the joint tenants that is, the individuals who own the property share an equal ownership and also have equal right on the property.

Kirov, Inc. reports credit sales of $200,000 for the year ending December 31, 2015. The year- end unadjusted balance of its Allowance for Doubtful Accounts is a debit of $9,000 Experience suggests 6 percent of its net sales will be uncollectible. The amount that should be debited to Bad Debt Expense and credited to Allowance for Doubtful Accounts in its year- end adjusting entry is
A. $3,000
B. $21,000
C. $9,000
D. $12,000
E. $23,000

Answers

Answer:

D. $12,000

Explanation:

Allowance for Doubtful accounts = Credit sales * Rate

Allowance for Doubtful accounts = $200,000 * 6%

Allowance for Doubtful accounts = $12,000

                       Allowance for doubtful account

Particulars                                            Particulars

Balance brought forward  $9,000     Bad debts       $12,000

Balance carried forward    $3,000  

Total                                    $12,000    Total               $12,000

Therefore, the amount to be debited to Bad debts and credited to Allowance for Doubtful accounts is $12,000.

26. As a result of a successful attempt by government to cut the economic pie into more equal slices?

a. the pie gets larger, and there will be more pie overall.

b. the pie gets smaller, and there will be less pie overall.

c. it increases the reward for working hard, resulting in people producing more goods and services.

d. those who earn more income pay less in taxes.​

Answers

Answer:

B

Explanation:

Portman Company's activity for the first three months of 2016 are as follows:
Machine Hours Electrical Cost
January 2500 $4800
February 3000 $5800
March 3300 $6400
Using the high-low method, how much is the cost per machine hour?

Answers

Answer:

Variable cost per unit= $0.5 per machine hour

Explanation:

Giving the following information:

Machine Hours Electrical Cost

January 2500 $4800

February 3000 $5800

March 3300 $6400

To calculate the cost per hour, we need to use the following formula:

Variable cost per unit= (Highest activity cost - Lowest activity cost)/ (Highest activity units - Lowest activity units)

Variable cost per unit= (3,300 - 2,500) / (6,400 - 4,800)

Variable cost per unit= $0.5 per machine hour

National Express reports the following costs and expenses in June 2020 for its delivery service.

Indirect materials $6,500 Drivers’ salaries $17,100
Depreciation on delivery equipment 11,800 Advertising 4,700
Dispatcher’s salary 5,530 Delivery equipment repairs 500
Property taxes on office building 920 Office supplies 710
CEO’s salary 12,400 Office utilities 1,040
Gas and oil for delivery trucks 2,300 Repairs on office equipment 270

Required:
Determine the total amount of (a) delivery service (product) costs and (b) period costs.

Answers

Answer and Explanation:

The computation is shown below:

a. For delivery service product cost:

Indirect materials $6,500

Depreciation on delivery equipment $11,800

Dispatcher's salary $5,530

Gas and oil for delivery trucks $2,300

Drivers' salaries $17,100

Delivery equipment repairs $500

Total $43,730

b) For Period costs:

Property taxes on office building $920

CEO's salary $12,400

Advertising $4,700

Office supplies $710

Office utilities $1,040

Repairs on office equipment $270

Total $20,040

Which choice below is one of the three assumptions of behavior within consumer choice theory? A. Utility B. Completeness C. Preference D. Indifference

Answers

Answer:

Option A

Explanation:

In simple words, utility maximization is one of the assumptions under consumer price theory. As per this assumption, When buying, consumers are supposed to undertake measured choices, buying goods that get them the highest profit, commonly recognized as optimum economic usefulness. Thus, from the above we can conclude that the correct option is A.

Short Corporation acquired Hathaway, Inc., for $53,350,000. The fair value of all Hathaway's identifiable tangible and intangible assets was $50,000,000. Short will amortize any goodwill over the maximum number of years allowed. What is the annual amortization of goodwill for this acquisition

Answers

Answer:

$0

Explanation:

Based on the information given No annual amortization of goodwill for this acquisition based on the fact that GOODWILL as an asset will remain forever because they won't dilapidate or worn out which is why GOODWILL are not amortized and Secondly we cannot see or touch GOODWILL which is why they are called intangible asset .

Therefore the annual amortization of goodwill for this acquisition will be $0.

Paid Rs.700 as rent of the house occupied by the proprietor for personal use​

Answers

Answer:

see below

Explanation:

In this transaction, Rs. 700 is used to pay for rent that the proprietor uses for personal use. The transaction will be captured in the drawings account. A drawing account is used to track all the money owners take from a business for personal use. The amount taken to pay rent, Rs. 700 will be debited  Drawings A/c.

The transaction will decrease cash ( asset account) by Rs. 700. A decrease in assets is credited. Therefore, the cash account will be credited by Rs.700

The journal entry will be

Drawings A/c Dr.   Rs.700

Cash A/c.                          Cr  Rs.700

On December 31, management had determined that it would not be able to collect the $1,200 owed to it by one of its customers. On Jan 15 in the next year, a check in the amount of $600 was unexpectedly received from this customer. Management does not expect any future collections from this customer. The company uses the direct write-off method to account for its uncollectible accounts.
Prepare the necessary journal entry on January 15 to record the events by selecting the account names from the drop-down menus and entering the dollar amounts in the debitor credit columns.
Prepare two separate journal entries. The first journal entry is to record the reinstatement of the account receivable and the second is to record the receipt of cash.
View transaction list
Journal entry worksheet
< 1 2 >
Prepare the journal entry to record the reinstatement of the account receivable

Answers

Answer:

a. Journal entries to record the reinstatement of the account receivable

Account Title and Description                           Debit     Credit

Account receivable account                                $600

       Allowance for Doubtful Accounts account                $600

(Reinstatement of the account receivable)

b. Journal entries to record the receipt of cash

Account Title and Description             Debit     Credit

Bank Account                                        $600

        Account receivable account                        $600

(Receipt of cash)

A business owner makes 50 items a day. She spends 8 hours in producing those items. If hired elsewhere she could have earned $10 an hour. The item sells for $10 each. Production occurs seven days a week. If the explicit costs total $10,000 a month the economic profit for the month equals:

Answers

Answer:

$2,600

Explanation:

The computation of economic profit is shown below:

Economic profit = Revenues - Economic cost

where,

Economic cost = Explicit cost + Implicit (opportunity) cost

where,

Implicit cost

= $10 × 8 hours × 30 days

= $2400

And,

Explicit cost for a month = $10,000

So,

Economic cost is

= $10,000 + $2400

= $12,400

Now

The Revenue

= Price × quantity

= $10 × 50 items × 30 days

= $15,000

Finally

Economic profit is

= $15,000 - $12,400

= $2,600

Other Questions
Which function describes the arithmetic sequence shown? 1, 7, 13, 19, 25, 31 WILL MARK BRAINLIEST ONLY HAVE 30 MINUTES who is the Bible for ? Buddy and Michael get into asnow fight with some boys on theway home from school. It seemsas though Buddy can throw 4times as many snowballs as theboys can. If Buddy throws 1200snowballs, how many did the boysthrow? Write an equation andsolve. Haley is expanding her tax preparation business and wants to reorganize it. She wants to better protect her personal assets from any liabilities associated with the business, and she wants to pay a lower tax rate on her business income. She also believes her business will benefit from oversight from a board of directors.Which form of business structure would clearly meet Haley's needs? a. Corporation b. Sole proprietorship c. Limited liability partnership d. Partnership What was the significance of the quartering act? How the interior of a church have changed from the beginning of the 16thcentury to the reign of Edward VI. If 10 cookies cost $2.00, how much will 25 cookies cost? Thank you! Please give me the correct answers1st answer choices:fear,promise,or dream2nd answer choices:dolls,familys,or friends3rd answer choices:she,her mother,or her brother Please help need this done by tonight!!!!!! Kira wants to graph y = -3(x + 1)(x - 3). They think that it will be adownward-opening parabola. They think that it has x-intercepts at (1, 0)and (-3, O). They think that the axis of symmetry, or x-coordinate of thevertex, will be halfway between 1 and -3, or -1. They substitute that intotheir function, and get a y-coordinate of O. So, they graph their work, andget what is shown. Explain whether you agree or disagree with Kira's work,and if you disagree, what you think should be done differently. Answerspecifically about x-intercepts, the midpoint and axis of symmetry, andvertex of the graph. ill mark brainliestThe British had not been forced to repair damages resulting from an enemy invasion. Which of the following was responsible for this:A) They were not involved in any wars at this time.B) No wars were fought on British soil.C) They owned a fleet of merchant ships.D) Wealthy merchants were willing to invest money. Suppose a small cannonball weighing 16 lb is shot vertically upward with an initial velocity v_0 = 300v 0 =300 ft/s.(a) Suppose air resistance is ignored. If the positive direction is upward, then a model for the state of the cannonball is given by d^2s/dt^2 = -gd 2 s/dt 2 =g.Since ds/dt = v(t)ds/dt=v(t) the last differential equation is the same as dv/dt = -gdv/dt=g, where we take g = 32g=32 ft/s^2 2 . Find the velocity v(t)v(t) of the cannonball at time tt.(b) Use the result obtained in part (a) to determine the height s(t)s(t) of the cannonball measured from ground level. Find the maximum height attained by the cannonball. For Triangle ABC, if AB = 10 mm, BC = 19 mm, and CA = 15 mm, what is the SMALLEST angle measure? * 1 point Angle A Angle BFor Triangle ABC, if AB = 10 mm, BC = 19 mm, and CA = 15 mm, what is the SMALLEST angle measure? *Angle AAngle BAngle CCannot be determined Angle C Cannot be determined Which of these is the primary site of protein synthesis?a. mitochondriab. cytoplasmc. nucleusd. ribosomes The weight of body is 420 N. Calculate is mass0.34 m 11.67,000 g 1,72.800 s 1 dayLOSSARYthe ratio of mass and volumethe rate of change of velothe rate of displacement of be True or False?The following relation represent a function.{(1, 4), (2, 8), (1, 12), (3, 16)}Question 3 options: True False The total cost for 25 camp counselorsto get shirts at $7.50 each and hatsat $5 each, when all members needa shirt but only some need hatsplease help heeelp will give brainliest Simplify -8n - 7(6n - 6) please answerrrrrrrrrrrrrrrrrrrrrrrrr Steam Workshop Downloader