Solve for the unknown number of years in each of the following: (Do not round intermediate calculations and round your answers to 2 decimal places, e. g., 32.16.) Present Value Years Interest Rate Future Value
$600 11% $1,455
2,291 9 4,050
33,505 14 390,620
33,200 21 208,796

Which of the following does not offer an opportunity for timely content? evergreen content news alerts content that suits seasonal consumption patterns content that matches a situational trigger content that addresses urgent pain points

Which of the following would be an accurate statement about achieving a balanced budget

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.