You are thinking of investing $ 2450 this year. you have received advice from family members. aunt anne recommends investing in the stock market with a 12.87% average rate of return. uncle rick recommends investing in a 17.66% certificate of deposit (cd). grandpa recommends investing in a 0.25% savings account. cousin lisa recommends investing in a 3.70% money market fund. how much money will you have at the end of 11 years if you pick aunt anne's advice?

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.