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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
Find the order and degree (D^3y/dx^3)^2-3d^2y/dx^2+4y=0
Random samples of size 3 are taken from a population of the numbers 3, 4, 5, 6 7,8, and 9.
3. Construct the histogram of the sampling distribution of the sample means. Describe the shape of the histogram.
2. Construct the sampling distribution of the sample means.
1. How many samples are possible? List them and compute the mean of each sample.
write a program that asks the user to enter a name and then prints Howdy NAME. Your program should repeat these steps until the user inputs Sage. ["Sam", "Lisa", "Micha", "Dave", "Wyatt", "Emma", "Sage"]
codys car accelerates from 0m/s to 45m/s northward in 15 seconds what is the acceleration of the car
1. The opening statement on the Web site of the Organization of Petroleum Exporting Countries (OPEC) says, “... OPEC’s eleven members are all developing countries whose economies are heavily reliant on oil export revenues. They therefore seek stable oil prices that are fair and reasonable for both producers and consumers of oil.” To achieve this goal, OPEC attempts to coordinate and unify petroleum policies by raising or lowering their collective oil production. However, increased production by Russia, Oman, Mexico, Norway, and other non-OPEC countries has caused the price of crude oil to fall dramatically in recent years. To achieve its goal of stable and fair oil prices, what must OPEC do to maintain the price of oil at its desired level? Do you think this will be easy for OPEC to do? Explain.
You are the human resources manager for a famous retailer, and you are trying
to convince the president of the company to change the structure of employee
compensation. Currently, the company’s retail sales staff is paid a flat hourly
wage of $18 per hour for each eight-hour shift worked. You propose a new
pay structure whereby each salesperson in a store would be compensated $8
per hour, plus five-tenths of 1 percent of that store’s daily profits. Assume
that, when run efficiently, each store’s maximum daily profits are $40,000.
Outline the arguments that support your proposed plan.
