Suppose that you have inherited an annuity that will pay $ 2,000 one year from now, each of the following 49 annual payments will be 3% larger than the prior payment. Assuming that the annual opportunity cost of capital is 7%, what is the value of this annuity today? Round your final answer to two decimals.

Which of the following is intended to demonstrate to an employer the importance of cooperating with workers? a. a collective agreement. b. a stock offer. c. a boost in production. d. a work slowdown. 2b2t

Why is it easier for new entrants to get involved in radical innovations when compared to incumbent firms? a. unlike incumbent firms, new entrants do not have to face the high entry barriers, initially. b. new entrants are embedded in an innovation ecosystem, while incumbent firms are not. c. unlike incumbent firms, new entrants do not have formal organizational structures and processes. d. incumbent firms do not have the advantages of network effects that new entrants have.

David consumes two things: gasoline (g) and bread (b). david's utility function is u(g, b) = 10g^0.25 b^0.75. use the lagrange technique to solve for david's optimal choices of gasoline and bread as a function of the price of gasoline, p_g, the price of bread, p_b, and his income m. with recent decrease in the price of gasoline (maybe due to external shock such as shale gas production) does david increase his consumption of gasoline? for david, how does partial differential g/partial differential p_g depend on his income m? that is, how does david's change in gasoline consumption due to an increase in the price of gasoline depend on his income level? to answer these questions, find the cross-partial derivative, |partial differential^2 g/partial differential m partial differential p_g.