On November 1, 2021, New Morning Bakery signed a $198,000, 6%, six-month note payable with the amount borrowed plus accrued interest due six months later on May 1, 2022. New Morning Bakery records the appropriate adjusting entry for the note on December 31, 2021. What amount of cash will be needed to pay back the note payable plus any accrued interest on May 1, 2022

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.