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differentate :ln(sinx cos x) answer provided2 cot 2x)
cos x/ sinx - sin x / cos x
cos^2 x - sin^2 x/ cos x sin x
stucked
guys , pls post any hyphothesis of the question,wrong answer given doesnt matter. as long as you tried
i am not a spoon feeder, i just dont have any idea about these messy questions.
ASSIGNMENT 5: DUE 4.00PM, 4/09/08
1. A competitive firm uses coal to generate electricity. Its supply curve is Q = 300P
- 1000, where Q is quantity produced (units of electricity per year), and P is
market price of electricity per unit. The production of each unit of electricity
results in a tonne of sulphur dioxide emissions which is estimated to cost the
economy $31. If the market price of electricity is $45 per unit, what is the
optimal level of output from the viewpoint of:
a. The firm? [2 marks]
b. The economy as a whole? [2 marks]
c. If the firm is producing the economys optimal output level, what price
should be used to represent the value of an extra unit of output of electricity
to the economy as a whole? [2 marks]
[6 marks]
2. Assuming that shoes have a world price of US$60 a pair, that the EU has a 45%
ad valorem import duty on footwear which applies to all types of footwear and
an Italian company is proposing a project to substitute 150,000 pairs of
imported shoes by domestically produced shoes. The annual cost of the project
(operating cost plus annual equivalent capital cost) at both market and
efficiency prices are $9.4 millions. Apart from the tariff there are no other
distortions to the EU domestic price of shoes. Calculate the net annual benefit
of the project:
a. At market prices. [2 marks]
b. At efficiency prices. [2 marks]
3. An ad valorem tax of 15% applies to sports shoes which have a market price
(i.e. price including the tax) of $46 per pair. What price (give the value in
dollars) should be used for a pair of sport shoes in an efficiency benefit-cost
analysis under each of the following sets of circumstances: [0.25 mark each]
a. The tax is distortionary and the commodity is a project output which
replaces existing supply;
b. The tax is distortionary and the commodity is a project output which satisfies
additional demand;
1. Suppose you have been offered a choice of two part-time jobs:
10 hours a week at a local restaurant for $15 dollars an hour; or
3 hours a day 5 days a week working as a pizza deliverer for $11 per hour
plus the benefit of using the car to travel to work every day (assuming that
you do not have any other benefit from having the work car). Assume you
would otherwise travel to work by public transport, costing you $5 a day.
Ignore the difference between travelling time of car and public transport.
Assume that you value an hour of leisure at $9 and that you will take one and
only one of the jobs, what is:
a. The opportunity cost of taking the restaurant job? [2 mark]
b. The opportunity cost of taking the pizza delivery job? [2 mark]
2. Suppose that the economy consists of four individuals, Mary, Steven, Laura and
Josh and that there are four projects, A, B, C, and D being considered. The net
benefits, measured in dollars, received by the four individuals from each of the
four projects are reported in the following Table:
Individual Project
A B C D
Mary +7 -11 +8 +9
Steven +3 30 -10 -7
Laura +8 -7 +6 6
Josh +5 -14 +11 -8
Which of the projects, if any, can be described as follows:
a. A Pareto improvement? [1 mark]
b. A potential (though not an actual) Pareto improvement? [1 mark]
c. Neither a potential nor an actual Pareto improvement? [1 mark]
my msn : shousoon90@hotmail.com
suppose that a firm has borrowed $10,000 in the current year at 8.75% interest rate, with a commitment to repay the loan ( principal and interest ) in equal annual instalments over the following 5 years . Calculate: ( a ) the amount of the annnual repayment . ( 2 marks )
( b ) the stream of annual principal payments ( 2 marks )
( c ) The stream of interest payments which can be entered in the tax calculation of the private benefit-cost analysis.
anyway can anyone show the way of payment and pls list out the principle and interest in annually.
in this way
http://www.adventuresineducation.org/Calculators/Loan/index.cfm
ok understood . i dont understand question 1) , for question3 , it should be 1/6 X 5/6 X 5/6 . i would like to ask if the number repeated is twice, so we consider 1 of the probability?
dont get wht u mean -.-
the probability a girl who wears spectacles is 1/12 and the probability a student who wears spectacles is a girl is 1/9. the probability that a student selected randomly is not a girl and does not wear spectacles is 3/4. wht is the probability that a person chosen randomly is a girl who wear spectacles? answer provided1/80
2)among 10 000 candidATES who are applying to be admitted to teaching college, only 2200 are selected to sit for the written test. For evry 100 candidates who sit for the written test, 70 will be called for an oral interview. For every 10 candidates interviewed, 3 will successfully join the Teaching colleges.
a) what is the probability that an applicant will reach the stage of the interview?(0.154)
b) What is the probability that an applicant who is sitting for the written test suceeds in entering a Teaching College?(0.21)
c) What is the probability an applicant will succeed in entering a teaching college?(0.0462)
3)A dice is tossed 4 times. find the probability that we will obtain the number 4 exactly .(25/256*)
1) A school offers japanese and arabic as two foreign languages. the probabilitiy that a student who studies japanese also studies arabic is 1/4 and 1/5 of the students who study arabic also studies japanese too. among the students, 1/5 of them do not study any of the two languages . what is the probability that a student in the school studies both languages? Are the events of studying japanese and arabic independent? ( answer provided 1/10,not independent) explain pls
2)Bag A contains 3 red balls and 2 green balls whereas bag B contain 2 red balls and 3 green balls. two balls r withdrwan from bag a to be put into bag b . then two balls are taken out from B to be put in bag A. what is the probability that bag A now contains 3 red balls and 2 green balls.? answer 10/21
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