. You have constructed a pendulum by tying a 760 g mug to a 73 cm string. You pull the mug 21 degrees to the side, then you release it. a) Draw an illustration of the pendulum, labeling all information known. b) What are the kinetic and potential energy at the top and bottom of the swing? c) What is the work done by gravity from top to bottom of the swing? d) What is the work done by the string from the top to the bottom of the swing? e) Assuming negligible air resistance, what is the mug’s speed when its at the lowest point in its swing? f) Draw the free-body diagram for the mug when the string is 10 degrees from vertical. g) What is the mug’s radial and tangential acceleration when the string is 10 degrees from vertical? h) What is the tension in the string when the mug is at the bottom of its swing? i) At what angle is the tension in the string equal to the weight of the mug?

Navidale, a listed engineering company, manufactures large scale plant and machinery for industrial companies. Until ten years ago, Navidale Limited purshed a strategy of organic growth. Since then, it has followed an aggressive policy of acquiring smaller engineering companies, which it feels have developed new technologies and methods, which could be used in its manufacturing process. However, it is estimated that only between 30% and 40% of the acquisitions made in the last ten years have successfully increased the company's shareholder value. Navidale Limited is currently considering acquiring Lochinvar, an unlisted company, which has three departments. Department A manufactures machinery for industrial companies, Department B produces electrical goods for the retail market, and the smaller Department C operates in the construction industry. Upon acquisition, Department A will become part of Navidale, as it contains the new technololgies which Navidale is seeking, but Departments B and C will be unbundled, whith the assets attached to Department C sold and Department B being spun off into a new company called Ndege Co.

Given below extracts of financial information for the two companies for the year ended 30 April 2014.

Navidale Co   Lochinvar Co

R Million R Million

Sales revenue: R790-2 R124.6

Profit before depreciation, interest and tax (PBDIT) R244.4    R37.4 million;

Interest R 13.8 R 4.3

Depreciation R 72.4 R 10.1

Pre tax profit R 158.2 R23.0

Non-current assets R723.9 R98.2

Current assets R142.6 R46.5

7% unsecured bond - R40.0

Other non-current and current liabilities R212.4 R20.2

Share capital (50c/share) R190.0 R20.0

Reserves R464.1 R64.5

Share of current and non-current assets and profit for Navidale Co's three departments:

Department A Department B Department C

Share of current and non-current assets 40% 40% 20%

Share of PBDIT and pre-tax profit 50% 40% 10%

Other information

(i) It is estimated that for Department C, the realisable value of its non-current assets is 100% of their book value, but its current assets' realisable value is only 90% of their book value. The costs related to closing Department C are estimated to be R3 million.

(ii) The funds raised from the disposal of Department C will be used to pay off Lonchivar Co's other non-current and current liabilities.

(iii)The 7% unsecured bond will be taken over by Ndege Co. It can be assumed that the current market value of the bond is equal to its book value.

(iv) At present, around 10% of the Department B's PBDIT come from sales made to Department C.

(v) Ndege Co's cost of capital is estimated to be at 10%. It is estimated that in the first year of operation Ndege Co's free cash flows to firm will grow by 20% and then by 5-2% annually thereafter.

(vi) The tax rate applicable to all the companies is 20%, and Ndege Co can claim 10% tax allowable depreciation on its non-current assets. It can be assumed that the amount of tax allowable depreciation is the same as the investment needed to maintain Ndege Co's operations.

(vii) Navidale Co's current share price is R3 per share and it is estimated that Lochinvar Co's price-to-earnings (PE) ratio is 25% higher than Navidale Co's PE ratio. After the acquisition, when Department A becomes part of Navidale Co, it is estimated that Navidale Co's PE ratio will increase by 15%.

(viii) It is estimated that the combined company's annual after-tax earnings will increase by R7 million due to the synergy benefits resulting from combining Navidale Co and Department A.

Required:

4.1 Discuss the possible reasons why Navidale Co may have switched its strategy of organic growth to one of growing by acquiring companies.(4)

4.2 Discuss the possible actions Navidale Co could take to reduce the risk that the acquisition of Lochinvar Co fails to increase shareholder value (7)

4.3 Estimate, showing all relevant calculations, the maximum premium Navidale Co could pay to acquire Lonchivar Co, explaining the approach taken and any assumptions made. (14)

How do you translate this pseudocode to regular code in C++?

for i :1 to length(A) - 1

j = i

while j > 0 and A[j - 1] > A[j]

swap A[j] and A[j - 1]

j = j -1

Please show all work and formulas!

4. A strong microscope objective lens "100

Please explain:

What are all the big factors that influence Earth’s climate? (i.e., plate movement, sunspot cycles, etc., there are more; know them all)

The following functions have zero or more security issues given the way they are called in the main() function. Identity these security issues and propose a compliant fix. You don’t need to consider the issues in the main() function.

1. setValue set the element at index in arr to value.

void setValue ( int * arr , int len , int value , int index ) {

                arr [ index ] = value ;

}

int main ( void ) {

                int arr [10];

                int value ;

                int index ;

                printf (" Enter the value :\ n ");

                scanf ("% d " , & value );

                printf (" Enter the position :\ n ");

                scanf ("% d " , & index );

                setValue ( arr , 10 , value , index );

                return 0;

}

2. createArray creates an int array of size len. It, then, initializes each element in the array with value.

int * createArray ( int len , int value ) {

                int * arr = ( int *) malloc ( sizeof ( int ) * len );

                memset ( arr , value , sizeof ( int ) * len );

                return arr ;

                }

int main ( void ) {

                int value ;

                int len ;

                printf (" Enter the value :\ n ");

                scanf ("% d " , & value );

                printf (" Enter the length :\ n ");

                scanf ("% d " , & len );

                int * arr = createArray ( len , value );

                if ( arr != NULL ) {

                                if ( len > 0) {

                                printf (" The first element is % d \ n " , arr [0]);

                                }

                free ( arr );

                }

return 0;

}

3. writeToFile asks the user to input a string and then write the entered string to “out.txt”.

void writeToFile () {

                char buffer [20];

                printf (" Enter the content :\ n ");

                scanf ("% s " , buffer );

                FILE * f = fopen (" out . txt " , " w ");

                fputs ( buffer );

                fclose ( f );

                }

int main ( void ) {

                writeToFile ();

                return 0;

}

4. sum returns the sum of two integers.

long long sum ( int a , int b ) {

                return a + b ;

                }

int main ( void ) {

                int a = 0;

                int b = 0;

                printf (" Enter a :\ n ");

                scanf ("% d " , & a );

                printf (" Enter b :\ n ");

                scanf ("% d " , & b );

                printf (" sum of a and b is % ld \ n " , sum (a , b ));

                return 0;

}

5. swap swaps the integer value stored in a and b.

void swap ( int * a , int * b ) {

                * a += * b ;

                * b = * a - * b ;

                * a = * a - * b ;

                }

int main ( void ) {

                int a = 0;

                int b = 0;

                printf (" Enter a :\ n ");

                scanf ("% d " , & a );

                printf (" Enter b :\ n ");

                scanf ("% d " , & b );

                swap (& a , & b );

                printf (" a is %d , b is % d \ n " , a , b );

                return 0;

}

Wil, Dave and Corinne are in a partnership as window repairers. Their business is called “Windows R Us”. Consider the following:

a. The business is run from an industrial shed which Dave owns. Dave pays for the upkeep of his shed, and the shed has remained basically unaltered since the business starting using it. However, due to rezoning of the area, the premises have substantially increased in value.

Explain the nature of the property in relation to the partnership and, if the premises is sold, whether profits must be shared.

b. Corinne purchases some expensive tinted glass on credit from a glass wholesaler –“Glass House”. Although Corinne actually wants the expensive tinted glass for her own private use (for a home she is building with her boyfriend Rove), she gives the impression to the salesperson at the Glass House that the purchase is on behalf of Windows R Us. Corinne has entered into this transaction on behalf of the partnership even though there was no express authority in the partnership agreement for Corinne to do so. Who will be liable for the debt incurred by Corinne?

c. (i) Dave and Corinne want to continue the business, but Wil is feeling like he wants to do something else with his life now, and thinks he would like to retire from the partnership. Advise Wil in relation to what action he should take regarding his liability for debts incurred by the partnership after he ceases to be a partner.

(ii) Unfortunately, before Wil makes up his mind as to whether he wants to retire, he dies suddenly. The partnership agreement does not include any provisions relating to the death of a partner.

Discuss the impact of Wil’s death on the partnership, and what happens with his share of the partnership.

Compare and explain the pros and cons of native, cross-platform and web mobile development ?

1. HC3152e Business Applications

   Tutorial 4 (Week 5)

   E-Environment

   Read the following Case The implications of globalisation for consumer attitudes

   The article starts by discussing anti-globalisation. It then explores the implications of variations in the characteristics of different cultures on businesses providing services to them. At the end of the article, research about attitudes to globalisation is summarised, along with its implications for businesses trading internationally.

   Globalisation, or maybe more specifically, anti‐ globalisation issues, are never far from the headlines, whether it’s coverage of the latest anti‐WTO demonstration or news that McDonald’s has replaced Ronald McDonald in France with Asterix-in a move to ‘appease anti‐globalisation protesters’.

   But what does globalisation actually mean? Stemming from the application of free market principles it has manifested the belief that the world is small and that consumers are becoming more and more alike, thus allowing companies to use the same advertising and marketing across regions and countries. Such a doctrine has enabled companies to act global and think global, much to the distaste of the anti‐globalisation lobbies. Indeed, in 1985 it was Friends of the Earth that coined the slogan ‘think global, act local’ in its desire to counter such global forces – particularly with regard to environmental issues.

   However, such ‘glocalisation’ [global localisation] makes a lot of sense for multinational companies operating today and planning new market entry, for a number of reasons. Firstly, the term globalisation for many Europeans is virtually synonymous with that of ‘Americanisation’. For some this has negative con‐ notations of materialism, loss of native culture and the encroachment of the English language. At its extreme, it drives many of the anti‐globalisation activists. Thus there is real risk that companies will damage their brand and reputation if they don’t recognise the importance of localisation when considering market entry.

   Secondly, consumers are as different as they are similar – local and regional cultures have a profound effect in shaping consumer demand. These difference are potentially more interesting than the similarities, in that they can allow product and service differentiation as well as new approaches to segmentation and marketing communications. To take advantage of such opportunities, businesses have to have a clear insight into how and why consumers in one market may differ from ones in another.

   Feelings of anti‐Americanisation are a strong under‐ current in Europe. Businesses have to plan how to counter such a groundswell of feeling if planning on entering new markets – given that some 50% of Europeans believe that ‘our society is too Americanised’ and such an attitude has increased over the past 10 years. While the degree of agreement varies within Europe (e.g. 67% of Spaniards agreeing with the statement, as compared with 44% of Brits), it is a significant influence of customer behaviour. To compound matters, multinational companies are the least trusted of 27 entities when European consumers have been asked to state which they trust to be honest and fair.

   As a result, not only have we seen an increase in consumer activism (such as anti‐WTO protests, growth of the slow food movement in Europe etc.), but also we have seen global brands coming under threat from emergent local brands which are gaining in currency. We would expect this to continue. This is not to say that there is no room for global brands! Many global brands have successfully tapped into local culture and tastes and recognised the need to either modify the product/ service completely or change different elements of the offer and how it is ultimately marketed. Thus companies expanding into new geographic markets have to ensure that their strategies are based on a real understanding of regional and local markets.

   Globalisation is not making the world a smaller, homogeneous place. While this presents many opportunities for businesses, it also implies a need for a clear understanding of what shapes consumer needs and desires in the different nations. Not surprising perhaps that many businesses found the notion of a ‘globalised’ world compelling, given the significant implications for researching a multitude of different markets in terms of time and money budgets. Similarly, it is easy to under‐ stand the temptation of taking well‐established national stereotypes and assuming that they are representative of the truth.

   Recent attitudinal studies in Europe and the US undertaken by the Henley Centre show the complexity of attempting to categorise consumers on a broad scale. Let’s take an example. At one level, results show that all consumers take pride in their family, so a global advertising campaign using the ‘family’ as a theme may feel like safe territory. To some extent it is. Dig down a bit deeper, however, and you find that different people define ‘family’ in very different ways, so what people take pride in will be subtly different. At a country level, many more differences expose themselves.

   Businesses wanting to broaden their geographic reach have to consider at a strategic level what level of understanding of consumer needs they require. Generalisations are important and are a good place to start, but it is critical to then delve further – national stereotypes are too simplistic. Differences, rather than similarities, have to be considered, and interrogated in terms of how these will impact customer needs.

   Source: The Henley Centre.

   Tutorial Questions - Debate in classes

2. Based on this article and your experiences, debate the statement: ‘Site localisation is essential for each country for an e‐commerce offering to be successful in that country? please answer this question

please answer all questions

1.) Which of the types of energies in the electromagnetic spectrum have the ability to ionize?

2.) What makes an x-ray photon higher energy than a microwave?

3.) State the wave equation

random sample of 33 33 professional baseball salaries from 1985 through 2015 was selected. The league of the player​ (American or​ National) was also recorded. Salary​ (in thousands of​ dollars) and league are shown in the accompanying table. Test the hypothesis that there is a difference in the mean salary of players in each league. Assume the distributions are Normal enough to use the​ t-test. Use a significance level of 0.05 0.05.

A 1700kg car starts from rest and drives around a flat 68-m-diameter circular track. The forward force provided by the car's drive wheels is a constant1300N .

What is the magnitude of the car's acceleration at t=12s?

What is the direction of the car's acceleration at t=12s? Give the direction as an angle from the r-axis.

If the car has rubber tires and the track is concrete, at what time does the car begin to slide out of the circle?

What is use and purpose of financial analysis?

Millions of Dollars) 2020 2019 Sales $ 13,000 $ 11,000 Operating costs excluding depreciation 11,564 9,722 Depreciation and amortization 420 370 Earnings before interest and taxes $ 1,016 $ 908 Less interest 260 200 Pre-tax income $ 756 $ 708 Taxes (25%) 189 177 Net income available to common stockholders $ 567 $ 531 Common dividends $ 201 $ 200 Rhodes Corporation: Balance Sheets as of December 31 (Millions of Dollars) 2020 2019 Assets Cash $ 650 $ 600 Short-term investments 110 100 Accounts receivable 2,750 2,500 Inventories 1,250 1,200 Total current assets $ 4,760 $ 4,400 Net plant and equipment 3,750 3,500 Total assets $ 8,510 $ 7,900 Liabilities and Equity Accounts payable $ 1,300 $ 1,200 Accruals 650 600 Notes payable 192 100 Total current liabilities $ 2,142 $ 1,900 Long-term debt 1,300 1,200 Total liabilities $ 3,442 3,100 Common stock 3,502 3,600 Retained earnings 1,566 1,200 Total common equity $ 5,068 $ 4,800 Total liabilities and equity $ 8,510 $ 7,900 Suppose the federal-plus-state tax corporate tax is 25%. Answer the following questions. What is the net operating profit after taxes (NOPAT) for 2020? Enter your answer in millions. For example, an answer of $1 million should be entered as 1, not 1,000,000. Round your answer to the nearest whole number. $ million What are the amounts of net operating working capital for both years? Enter your answers in millions. For example, an answer of $1 million should be entered as 1, not 1,000,000. Round your answers to the nearest whole number. 2020: $ million 2019: $ million What are the amounts of total net operating capital for both years? Enter your answers in millions. For example, an answer of $1 million should be entered as 1, not 1,000,000. Round your answers to the nearest whole number. 2020: $ million 2019: $ million What is the free cash flow for 2020? Enter your answer in millions. For example, an answer of $1 million should be entered as 1, not 1,000,000. Cash outflow, if any, should be indicated by a minus sign. Round your answer to the nearest whole number. $ million What is the ROIC for 2020? Round your answer to two decimal places. % How much of the FCF did Rhodes use

I have roc is 1.4% I'm told its wrong. im confued why my ROIC percentage is wrong

8. The reserve requirement, open market operations, and the moneysupply

Assume that banks do not hold excess reserves and that households do not hold currency, so the only form of money is demand deposits. To simplify the analysis, suppose the banking system has total reserves of $400. Determine the money multiplier and the money supply for each reserve requirement listed in the following table.

(CHART GOES RIGHT HERE INSTEAD OF THE Bottom)

A higher reserve requirement is associated with a (smaller/ larger) money supply.

Suppose the Federal Reserve wants to increase the money supply by $200. Again, you can assume that banks do not hold excess reserves and that households do not hold currency. If the reserve requirement is 10%, the Fed will use open-market operations to (buy/SEll).   _______$ worth of U.S. government bonds.

Now, suppose that, rather than immediately lending out all excess reserves, banks begin holding some excess reserves due to uncertain economic conditions. Specifically, banks increase the percentage of deposits held as reserves from 10% to 25%. This increase in the reserve ratio causes the money multiplier to(FALL/RISE) to( 1, 2.5, 4,5,10) . Under these conditions, the Fed would need to (BUY/SELL)   _________ $ worth of U.S. government bonds in order to increase the money supply by $200.

Which of the following statements help to explain why, in the real world, the Fed cannot precisely control the money supply? Check all that apply.

-The Fed cannot control whether and to what extent banks hold excess reserves.

-The Fed cannot control the amount of money that households choose to hold as currency.

-The Fed cannot prevent banks from lending out required reserves.