Michelle always drives down Hampton Avenue to go to work. One morning, Michelle discovers that Hampton Avenue is closed at Wood Street because of construction. Michelle immediately takes a different route to work. She is able to make a quick route change because .

Although appealing to more refined tastes, art as a collectible has not always performed so profitably. during 2003, an auction house sold a sculpture at auction for a price of $10,211,500. unfortunately for the previous owner, he had purchased it in 2000 at a price of $12,177,500. what was his annual rate of return on this sculpture? (a negative answer should be indicated by a minus sign. do not round intermediate calculations and enter your answer as

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.

Mart's boutique has sales of $820,000 and costs of $540,000. interest expense is $36,000 and depreciation is $59,000. the tax rate is 21 percent. what is the net income? $146,150 221,200 105,000 139,050