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the critical angle at an air liquid interface is 50°. calculate the refractive index of the liquid

Your Company manufactures goods for a market in which the technology of

the products is changing rapidly. The research and development department has produced a

new product which appears to have potential for commercial exploitation. A further Rs.

60,000 is required for development testing.

The company has 100 customers and each customer might purchase, at the most , one unit of

the product. Market research suggests a selling price of Ts. 6000 for each unit with total

variable costs of manufacture and selling estimated at Rs. 2000 for each unit.

As a result of previous experience of this type of market, it has been possible to derive a

probalility distribution relating to the proportions of customers who will buy the product, as

follows:

Proportion of customers: 0.04 0.08 0.12 0.16 0.20

Probability: 0.1 0.1 0.2 0.4 0.2

Determine Expected Opportunity Losses, given no further information than that stated above

and state, whether or not, the company should develop the product.



Which rule represents the translation from the pre-image, ABCD, to the image, A'B'C'D'?

T1, 2(xy)

T1, 2(xy)

T2, 1(xy)

T2, 1(xy)

When assessing risk, a rational investor will never use:

a. standard deviation of return

b. normal probability distribution as a general characteristic of financial market

c. variance of either return series or stock price series

d. probability of a loss

e. potential loss


When assessing risk, a rational investor will never use:

a. standard deviation of return

b. normal probability distribution as a general characteristic of financial market

c. variance of either return series or stock price series

d. probability of a loss

e. potential loss*


A share yields the following future dividends: 40 €, 20 €, 50 €. The opportunity cost of investment, as quantified by a finance practitioner is 7%. The share can be bought today for 200 € and is going to be sold for 250 €, after 3 years. The percentage value dividend yield and the net present value of this financial investment, are:

a. 159% and 250 €

b. 73% and 180 €

c. 34% and 120 €

d. 55% and 100 €

e. 25% and 120 €


Expected return is basically computed based on:

a . values of predicted returns and their attached probabilities

b. the geometric average of dividend yields

c. values of historical market prices times the market capitalization

d. the average value of GDP indexes

e. the variability of return



Which one of the following affirmations is false?

a.CAGR is computed by means of geometric average

b. the nominal profit of a financial investment does not involve opportunity cost

c. a t-bill is a rather safe investment alternative

d.geometric average is based on the compounding (interest) rate principle

e. given the same HPR, effective annual rate is always smaller than annual percentage rate



How much should you deposit today in a deposit that pays monthly compounded interest, if the final value of the deposit will be 70 000 $, in 12 years time, and the APR is 2%?

a. 35 783 $

b. 54 812 $

c. 49 472 $

d. 67 529 $

e. 32 567 $


The power rating of a water pump is 4200 watts, if it is run for 600s, how many joules of work will it do in that time?


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