1. The aerodynamic drag on a vehicle is thought to depend on the following properties: ? Density of the fluid ? Viscosity of the fluid ? A representative length scale of the vehicle. ? Flow velocity
1) The GAMMA Corp. has decided to enter the next generation in customer service. In order to do so they need to purchase a new piece of equipment. The equipment is highly specialized and needs to be created to exact specifications. As a result it will take at least 30 months for the equipment to be ready for installation and will cost a total of $270,000. GAMMA Corp. wants to set aside the money it needs for the equipment today. Being extremely conservative the company will be placing the funds it needs for the purchase into a GIC with a rate of 2.1% compounded Semi-Annually.
A- How much money are they setting aside today?
B- What would the interest rate be if they only needed to save $221,920.32 at the beginning? (Input as a percentage without the % sign)(Remember (-) where appropriate)
C -How much would they need if they had more time to allow money to grow such as if the equipment would be ready in 5.5 Years at a rate of 2.1% Compounded Semi-Annually?
2) Jane is an analyst and their company wants to get a return of atleast 4.4% compounded Quarterly on their investment. Jane will only have use of the money for 12 Months before the company needs it for another project. Jane has been give $1,200 to invest.
A- If Jane is able to find an investment matching the criteria, how much money will they have after 12 Months?
B- If the rate of return ended up being 11.5% and the company invested their $1,200. How much would they have after 12 Months?
C- The company liked the 11.5% and decided to leave the money invest until they earned 6,573.13. How long was the money actually invested for in MONTHS? (REMEMBER (-) signs where appropriate).
1. The balances in the perpetual inventory accounts of Valley view Manufacturing Corporation at the beginning and end of the current year are as follows:
End of Year
Beginning of Year
Inventory accounts:
Materials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
$15,000
$25,000
Work in Process . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
10,000
8,000
Finished Goods Inventory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
24,000
30,000
Total dollar amounts debited and credited during the year to the accounts used in recording manufacturing activities are as follows:
Debit Entries
Credit Entries
Account:
Materials Inventory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
$225,000
$ ?
Direct Labour . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
200,000
210,000
Manufacturing Overhead . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
420,000
420,000
Work in Process Inventory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
?
?
Finished Goods Inventory . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
?
?
Instructions
1) The Hawaiian Corporation expects this year’s net income to be $12 million. The firm’s target debt/assets ratio is 30 percent. This year, Hawaiian has $20 million profitable investment opportunities. According to the residual dividend policy, what should be Hawaiian’s dividend payout ratio this year?
1.Telephone operators and receptionists who prevent contacts to deciders are classified as A. initiators B.influencers C. buyers D.gatekeepers 2. Supplier?s goal is to enlarge their share of purchasing over time, it is a characteristic of buying situation and called as A.supplier’s rebuy B.purpose buying C.straight rebuy D.turned rebuy 3. A company’s buying products such as chemicals or steel from specialized hubs are classified as A.Horizontal markets B.vertical markets C.auction markets D.private markets 4.All individuals and groups participants that make purchasing decision and share common goals and risks are classified as A. supplier center B. buying center C. evaluation center D. initial awareness stage 5. Traditional supply situation in which focus is on competition rather than cooperation is classified as A.customer supply B.contract supply C.cooperation supply D.bare buying
1. The function of the rules of inference is to justify the steps of a proof. A) True B) False 2. A proof is a sequence of steps in which each step is either a premise or follows from earlier steps in the sequence according to the rules of inference. A) True B) False 3. Implication rules can be validly applied to part of a line. A) True B) False 4. According to the axiom of replacement, logically equivalent expressions may replace each other within the context of a proof. A) True B) False 5. Replacement rules are pairs of logically equivalent statement forms. A) True B) False 6. Conditional proof (CP) is a method that starts by assuming the negation of the required statement and then validly deriving a contradiction on a subsequent line. A) True B) False 7. Indirect proof (IP) is a method that starts by assuming the antecedent of a conditional statement on a separate line and then proceeds to validly derive the consequent on a separate line. A) True B) False 8. Invalid arguments cannot be proven as invalid using the methods of natural deduction. A) True B) False Document Preview:
Introduction to Formal Logic – Natural Deduction Examination – Spring 2014 Part I: True/False Instructions. Please circle ‘True ‘if the statement is true and ‘False’ if the statement is false. (2 pts each) 1. The function of the rules of inference is to justify the steps of a proof. A) TrueB) False 2. A proof is a sequence of steps in which each step is either a premise or follows from earlier steps in the sequence according to the rules of inference. A) TrueB) False 3. Implication rules can be validly applied to part of a line. A) TrueB) False 4. According to the axiom of replacement, logically equivalent expressions may replace each other within the context of a proof. A) TrueB) False 5. Replacement rules are pairs of logically equivalent statement forms. A) TrueB) False 6. Conditional proof (CP) is a method that starts by assuming the negation of the required statement and then validly deriving a contradiction on a subsequent line. A) TrueB) False 7. Indirect proof (IP) is a method that starts by assuming the antecedent of a conditional statement on a separate line and then proceeds to validly derive the consequent on a separate line. A) TrueB) False 8. Invalid arguments cannot be proven as invalid using the methods of natural deduction. A) TrueB) False 9. One of the rules of inference is DeMorgan’s theorem: ~(P v Q) :: (~P · ~ Q) A) TrueB) False 10. When an indirect proof is discharged, any lines derived from the assumption can no longer be used in the subsequent proof. A) TrueB) False Part II: Rules of Implication Instructions. Using the rules of implication, please provide the proofs for the following problems. Please provide justifications for each step. (7 pts each) 11. 1. T ? ( P v Q ) 2. S v ~ ( P v Q ) 3. ~S / ~ T 12. 1. ( S ? R ) · Q 2. R ? T / S ? T 13. 1. [ (…
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1. The following info is available
ITEMS
MATURITY
AMOUNT
1. A CHF payable
1 month
2,000,000.
2. A CHF deposit
3 month
1,500,000.
3. A CHF receivable
1 month
500,000.
4. A CHF forward sale
6 month
450,000.
5. A CHF loan
6 month
1,000,000.
6. A CHF payable
9 months
850,000.
7. A CHF forward purchase
9 months
500,000.
8. A CHF loan
12 months
2,500,000.
Incase of a deposit or a loan, the amount is the maturity value which includes interest and the principal. The CHF interest rate is 6% for all maturities and is known to remain at this level with certainty.
You are required to work out a neat forex transaction plan for next one year to ensure smooth receipts and payments by the British company.
1. The following reasons are good motives for mergers except: (I) Economies of scale (II) Complementary resources (III) Diversification (IV) Eliminating Inefficiencies A) I only B) II only C) III only D) I, II, and IV only 2. The following are good reasons for mergers: (I) Surplus funds (II) Eliminating inefficiencies (III) Complementary resources (IV) Increasing earnings per share (EPS) A) I only B) I and II only C) I, II, and III only D) IV only 3.The following are good reasons for mergers: (I) Economies of scale (II) Economics of vertical integration (III) Complementary resources (IV) Surplus funds (V) Eliminating inefficiencies (VI) Industry consolidation A) I only B) I, II, and III only C) I, III, IV, and V only D) I, II, III, IV, V, and VI 4.The following are dubious reasons for mergers: (I) to diversify (II) increasing the earnings per share (EPS) (III) lower financing costs (IV) industry consolidation A) I only B) II and IV only C) III and IV only D) I, II, and III only 5.Firm A has a value of $100 million, and B has a value of $70 million. Merging the two would allow a cost savings with a present value of $20 million. Firm A purchases B for $75 million. What is the gain from this merger? A) $30 million B) $20 million C) $15 million D) $75 million 6. Firm A has a value of $100 million, and B has a value of $70 million. Merging the two would allow a cost savings with a present value of $20 million. Firm A purchases B for $75 million. What is the cost of this merger? A) $30 million B) $20 million C) $5 million D) $10 million 7.. Firm A has a value of $100 million, and B has a value of $70 million. Merging the two would allow a cost savings with a present value of $20 million. Firm A purchases B for $75 million. How much do firm A’s shareholders gain from this merger? A) $30 million B) $20 million C) $15 million D) $5 million
1. The figure represents the head of a pole-mounted tree pruner. Determine the force applied by the cutting blade ED on the tree branch when the vertical rope attached at A is pulled with the force P which is equal to 200 N.
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1.The following are theories of social change except A.Functionalist B.Theory of reasoned action C.Conflict D.Cyclic
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