Your job includes ordering phone service for new employees. You are considering two phone plans. The first plan charges $23.35 per month for one phone line. The second plan charges $14.99 per month for the first three months and then $29.99 per month after that for a phone line. Over the first year, how much will you save on one phone line by choosing the better deal?

Suppose jamal purchases a pair of running shoes online for $60. if his state has a sales tax on clothing of 6 percent, how much is he required to pay in state sales tax?

Mai and chuck have been divorced since 2012. they have three boys, ages 6, 8, and 10. all of the boys live with mai and she receives child support from chuck. mai and chuck both work and the boys need child care before and after school. te boys attend the fun house day care center and mai paid them $2,000 and chuck paid them $3,000. mai's agi is $18,000 and chuck's is $29,000. mai will claim two of the boys as dependents. she signed form 8332 which allows chuck to claim one of the boys. who can take the child and dependent care credit?

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.