If 0.590% solution of Na²CO3 will be used to precipitate Ca+² from solution, determine the amount of solution, in grams, needed to precipitate 5.00×10²mL of 0.01120 M Ca+²?
If you invest $500 today in an account that pays 6 percent interest compounded annually, how much will be in your account after two years?
You play a game with two six-sided dice. If you roll a sum of 5 or 7, you win ₱400. If you
roll a sum of 6 or 8, you win ₱300. If you roll a sum of 11 or 12, you win ₱200. However,
you lose ₱250 for anything else. If you continue to play the game, how much do you
expect to win or lose in the game? Will you encourage your friend to play that kind of
game? Why or why not?
The officers of the Mathematics Club are planning to sell 280 tickets to be raffled during
the school’s foundation day. One ticket will win ₱5,000, two tickets will win ₱3,000, three
tickets will win ₱2,000 and the other tickets will win nothing. If you will buy one ticket,
what will be your expected value and variance of his gain?
If the government were to intervene in this market by taxing suppliers, what would happen to prices in the short run and in the long run?
Select one market to focus on. Clearly indicate the market and describe the market structure. For example, is it perfectly competitive? Is an oligopoly market? And so on.
• You are free to select any market of your choosing. For example, the global market for copper, the market for housing in London, the market for cheese in the United States, etc… You will have more to talk about for some markets than for others, and you must ensure you can find the appropriate price data.
A. Identify if the equation f(x)=x⁵-2x⁴+x³-3x²-x+5 has a solution on each given closed interval. Show your proof using the intermediate value theorem.
1.[-2,1]
2.[-1,0]
3.[0,1]
4.[1,2]
5.[2,4]
B. Sketch the graph of f(x)=4-x² and then find the absolute extreme values of the interval [-3,1]
What is an oligopoly? In oligopoly markets, how do businesses make decisions?
Explain intuitively why marginal revenue is less than the price for a monopolist, but marginal revenue is equal to the price for a perfectly competitive firm
Discuss 2 determinants each of the price elasticity of demand and the price elasticity of supply