Allie's credit card has a 1,500 balance that she carried over from last month. Her credit card charges a 23% anualintrest rate. approximately how much will her intrest charges be this month?hint the 23 % anual rate is computed daily and added monthly us ethis formula to figure the average monthly intrest charge balance x.019=monthly interest charge)math skills practice

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.