Suppose you just bought an annuity with 9 annual payments of $15,400 at the current interest rate of 11 percent per year. a. what is the value of the investment at the current interest rate of 11 percent? (do not round intermediate calculations and round your answer to 2 decimal places, e. g., 32.16.) b. what happens to the value of your investment if interest rates suddenly drop to 6 percent? (do not round intermediate calculations and round your answer to 2 decimal places, e. g., 32.16.) c. what happens to the value of your investment if interest rates suddenly rise to 16 percent?

American gas products manufactures a device called a can-emitor that empties the contents of old aerosol cans in 2 to 3 seconds. this eliminates having to dispose of the cans as hazardous wastes. if a certain paint company can save $75,000 per year in waste disposal costs, how much could the company afford to spend now on the can-emitor if it wants to recover its investment in 3 years at an interest rate of 20% per year?

Peyton taylor drew a map with scale 1 cm to 10 miles. on his map, the distance between silver city and golden canyon is 3.75 cm. what is the actual distance between silver city and golden canyon?

Suppose a firm faces a fixed price of output, 푝푝= 1200. the firm hires workers from a union at a daily wage, 푤푤, to produce output according to the production function 푞푞= 2퐸퐸12. there are 225 workers in the union. any union worker who does not work for this firm is guaranteed to find nonunion employment at a wage of $96 per day. a.what is the firm’s labor demand function? b.if the firm is allowed to choose 푤푤, but then the union decides how many workers to provide (up to 225) at that wage, what wage will the firm set? how many workers will the union provide? what is the firm’s output and profit? what is the total income of the 225 union workers? c.now suppose that the union sets the wage, but the firm decides how many workers to hire at that wage (up to 225). what wage will the union set to maximize the total income of all 225 workers? how many workers will the firm hire? what is the firm’s output and profit? what is the total income of the 225 union workers? [hint: to maximize total income of union, take the first order condition with respect to w and set equal to 0.]