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Suppose the oil wells in Iran, Iraq and Kuwait are set alight, resulting in a dramatic and prolonged decline in the world output of oil. Use demand and supply curves to illustrate how this will affect the equilibrium price and quantity of oil.  


a particle falling under gravity is subject to a retarding force proportional to its velocity.find its position of time , if its starts from rest , and show that it will eventually reach a terminal velocity

Due to substantial increases in prices in Country A, the real income level of the population in Country A decreases. Show on a diagram how the decrease in the income level in Country A will affect the demand for meat, which is a normal good. Also indicate how the equilibrium price and equilibrium quantity of meat will change in Country A.



1, In how many ways each 5 boys and 3 girls be seated around a table if:





i) There is no restriction?





ii, Boy Bi and girl Gi are not adjacent?





ji, No girls are adjacent?






2. Each user on a computer system has a password, which is six to eight characters





long. where each character is an upper case letter or a digit Fach password must





contain at least one digit. How many possible passwords are there?






3.how many ways are there to distribute 10 identical bones to 4 dogs if each dog must





stat least | bone and Fifi may not receive more than 3 bones’?






2.1. The following is a recipe for making 18 scones: 1 cup white sugar, cup butter, 2 teaspoons vanilla essence, 1 cups flour, 2 eggs, 1 teaspoons baking powder, cup of milk. On your birthday you decide to use this recipe to make scones for the staff at your school. How would you adjust the recipe so that you can make 60 scones?                                      


3x4sin(180x) + 4x3 cos(90x) + x2sin(tan(45)) + 7x + 9cos(90x2 )


Explain how knowledge of Southern Africa precolonial history can assist in understanding historical development?


Which of the following statements is correct?



A. The level of production is always equal to thr lrvrl of production



b. In the Keynesian model, income is determined by the interest rates



c. Firms receive payments for the factors of production



d. The level of income is always equal to level of spending

Write a class Account with following parameters: accountTitle (string), accountHolder (string), accountNumber(string), amount(double). Write public getters and setters for each class variable. You are also required to write following functions 


1. withdrawAmount The user should be able to withdraw amount from his/her account. The withdrawAmount member function.


2. deductTax At every withdrawal, The program should be able to deduct tax (2.5%) from user amount. 


Write main() function where program should provide following options to the user:

a. create account

b. set account title

c. set account holder name

d. set account number

e. set amount

f. get account title

g. get account holder name

h. get account number

i. get amount

j. withdraw amount

k. deduct taxes



A Biotech company produces enzymes at a rate that can be described by the Poisson process.



Their lipase enzyme from a genetically modified bacteria produces glycerol at an average rate of



3 mg/L per minute.



4.1 Find the probability that the enzyme will produce exactly 5 mg/L in a given minute. (2)



4.2 What is the likelihood that the enzyme will produce four or more mg/L in a given minute? (7)



4.3 What chance is there that no product will be produced in a given minute?

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