Calcium carbide crystallizes as a cube with 1 calcium ion on each corner and one calcium ion in the center of the cell. There are 8 carbon atoms located along edges of the cell and there are two carbons internal to the cell. What is the formula of calcium carbide?

Ca₂C₃

CaC₄

CaC₃

CaC₂

CaC

Recent dividend distributed RM1. Suppose a firm is expected to increase dividends by 20% in one year and by 15% in two years. After that, dividends will increase at a rate of 5% per year indefinitely. If the required return is 20%, calculate the stock. 8 marks

Please show clear working.

Assume an investment opportunity which provides the following cash flows: 15,000$ in one year, 9,000$ in two years, 8,750$ in three years, 12,000$ in four years and 5,000$ in five years. If the relevant required rate of return for this investment is 8%, what is the investment’s value in year three?

Assume an investment opportunity which provides the following cash flows: 15,000$ in one year, 9,000$ in two years, 8,750$ in three years, 12,000$ in four years and 5,000$ in five years. If the relevant required rate of return for this investment is 8%, what is the investment’s value in year three?

A manufacturer produces both a deluxe and a standard model of an automatic sander designed for home use. Selling prices obtained from a sample of retail outlets follow.

1. The manufacturer's suggested retail prices for the two models show a $10 price differential. Use a .05 level of significance and test that the mean difference between the prices of the two models is $10.
   
   Develop the null and alternative hypotheses.
   H ₀ =  _d Selectgreater than 10greater than or equal to 10equal to 10less than or equal to 10less than 10not equal to 10Item 1  
   H _a =  _d Selectgreater than 10greater than or equal to 10equal to 10less than or equal to 10less than 10not equal to 10Item 2  
   
   Calculate the value of the test statistic. If required enter negative values as negative numbers. (to 2 decimals).
     
   
   The p-value is Selectless than .01between .10 and .05between .05 and .10between .10 and .20between .20 and .40greater than .40Item 4  
   
   Can you conclude that the price differential is not equal to $10?
   SelectYesNoItem 5  
   
2. What is the 95% confidence interval for the difference between the mean prices of the two models (to 2 decimals)? Use a t-table.
   ( ,  )

A manufacturer produces both a deluxe and a standard model of an automatic sander designed for home use. Selling prices obtained from a sample of retail outlets follow.

The manufacturer's suggested retail prices for the two models show a $10 price differential. Use a .05 level of significance and test that the mean difference between the prices of the two models is $10.

Develop the null and alternative hypotheses.
H 0 =  d Selectgreater than 10greater than or equal to 10equal to 10less than or equal to 10less than 10not equal to 10Item 1  
H a =  d Selectgreater than 10greater than or equal to 10equal to 10less than or equal to 10less than 10not equal to 10Item 2  

Calculate the value of the test statistic. If required enter negative values as negative numbers. (to 2 decimals).
  

The p-value is Selectless than .01between .10 and .05between .05 and .10between .10 and .20between .20 and .40greater than .40Item 4  

Can you conclude that the price differential is not equal to $10?
SelectYesNoItem 5  

What is the 95% confidence interval for the difference between the mean prices of the two models (to 2 decimals)? Use z-table.
( ,  )

1. You are recently appointed as a centralized “Cost Control Analyst” for one of the bank in Toronto. Head of Banking operations in Toronto Mr. Horton has asked you to analyse the cost of basic stationary as Stationary in different regions of the bank seems to be one of the highest cost. He wants you to come up with your statistical analysis with two pager report. Use Central tendencies, Standard deviation and Regression analysis techniques along with graphical representation. (30 Marks

A swim club is designing a new pool to replace its old pool. The new pool would need to last for 10 years since the club is planning on relocating after 10 years. A concrete shell would cost $85,000 and last for all 10 years. Another option is to install a vinyl liner that would cost only $70,000 to install. However, the vinyl is not guaranteed to last for all 10 years, and it has a 40% chance of breaking down. Repair of the vinyl would cost $40,000 and would extend the life of the vinyl liner to the 10-year mark. If both options are acceptable to the swim club, which one minimizes cost?

You have seven mornings per week. On each morning, you can either study, go to the rock climbing wall, or sculpt (i.e., make sculptures). If you rock climb, you must be a member of the club. The membership fee is 100 Bobos each week. And, as member, you pay 10 Bobos for each morning of climbing. If you sculpt, you must rent a studio which costs 100 Bobos per month. Each morning you sculp, you use 10 Bobos worth of material.

Your economics professor has asked you to produce a table showing your marginal cost for each of 7 mornings you might sculpt during a normal week. Your uncle, who has never taken economics, has asked you to explain the table and why the values you wrote down make sense. Provide your answers in sections labelled

The Table
The Explanation

Assume that in October, you rationally climbed two times per week and sculpted three times per week. In November, you know that the daily climbing price will be 5 bobo per morning. Explain, using the costs and benefits of sculping, how you will decide whether to rent a studio in November. Provide your answer in a section labelled

November

[9 Marks] Assume that in March you rationally climbed two times per week and sculpted three times per week. A climber from out of town is willing to pay you 50 Bobos per week for your April membership. If you sell, you cannot climb. If this is the only change the professor is aware of, what does your economics professor predict about how often you sculp in April? Explain. Provide your answer in a section labelled

April

Assume that the following March, you rationally climbed two times per week and sculpted three times per week. In April the membership fee for the climbing club will increase 150 bobos per week. If this is the only change the professor is aware of, what does your economics professor predict about how often you sculp in April? Explain. Provide your answer in a section labelled

April, redux

Mango Electronics Inc. is a Fortune 500 company that develops and markets innovative consumer electronics products. The development process proceeds as follows.

Mango researches new technologies to address unmet market needs. Patents are filed for products that have the requisite market potential. Patents are granted for a period of 10 years starting from the date of issue. After receiving a patent, the patented technologies are then developed into marketable products at 8 independent development centers. Each product is only developed at one center. Each center has all the requisite skills to bring any of the products to market (a center works on one product at a time). On average, Mango files a patent every 7 months (with a standard deviation of 7 months). The average development process lasts 30 months (with a standard deviation of 60 months).

(a) What is the utilization of Mango’s development facilities? (Round your answer to two decimal places.)

The utilization of Mango's development facilities is ___%?

(b) How long does it take an average technology to go from filing a patent to being launched in the market as a commercial product? (Round your answer to one decimal places.)

The total time is ___ months?

(c) How many years of patent life are left for an average product launched by Mango Electronics? (Round your answer to one decimal places.)

Number of years patent life are left for a product is ___ years?