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What impact did an increase in prices of petrol, dissel have in the South African economy as a whole...which sectors affected the most as due to the War in between Russia and Ukrain

Draw the Philips Curve in 1980 with the economy facing stagflation, Label this point "A''

Show the short-run results of Chairman Volcker's leadership on the Philips curve, Label this point of short-run equilibrium point "B" and indicate new inflation and unemployment rate .


Fur color in mice is the example of

 A group of students got a grade in their Math subjects; 78, 80, 81, 89, 93, 95. Consider samples of size 3 that can be drawn from this population.



Under what conditions were Africans enslaved?


How we can differenciate the statement whether it is law, theory or hypothesis

Round of the answer to this question to the nearest rand . David borrowed R911012 to refurbish his holiday home. The loan requires monthly repayment over 12 years . When he borrowed the money the interest rate was 12,4% per annum, compounded monthly but five years later the bank increase the annual interest rate to 13,9% in line with market rates . After five years the present value of the loan is R682081,77. With the new interest rate , his monthly payments will increase by ?


Consider a graph where V(G)={1, 2, 3, 4} and E(G)=[{1,2}, (1,2), {1,4}, {2,3}, {3,4}, {3,4}]. How many Hamilton cycles does it have?

1.    A homogeneous products duopoly (from firm 1 and firm 2) faces an inverse market demand function given by P = 300 - 3Q, where Q = q1 +q2. The cost functions for Firm 1 and Firm 2 are given as C1(q1) =100q1 and C2(q2) = 100q2.

a)    If the firms compete under Cournot assumptions; 

                i.         What is Firm 1’s profit-maximizing quantity, given that Firm 2 produces q2 output per year?

              ii.         What is Firm 2’s profit-maximizing quantity, given that Firm 1 produces q1 output per year?

            iii.         Sketch the equation of each firm’s reaction curve (Firm 1 and Firm 2)

             iv.         Find the Cournot equilibrium quantity per firm and price in this market.

b)    If the firms collude and agree to share total profits equally in the industry, what will be the price?

c)    Now suppose that firm 1 is a Stackelberg leader while firm 2 is a follower. Calculate the price in the industry and output of the leader.


Find the order and degree of the following differential equations

a)      D^y/dx^3+6d^2y/dx+11dy/dx+6y=0

b)     (D^3y/dx^3)^2-3d^2y/dx^2+4y=0

c)      (1-x^2)dy/dx-xy=1

d)     2d^2y/dx^2-3dy/dx+y=0


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