Annie invested in a set of stocks and made $4,000 in profit. she has learned that she will have to pay taxes on the profit she has made. here are the tax rates affecting annie’s investment: state tax: 5% federal tax: 25% annie must pay in taxes to the state government on her investment. she also must pay in taxes to the federal government. as a result of the money she will lose to taxes, the real value of annie’s profit is

John novosel was employed by nationwide insurance company for fifteen years. novosel had been a model employee and, at the time of discharge, was a district claims manager and a candidate for the position of division claims manager. during novosel's fifteenth year of employment, nationwide circulated a memorandum requesting the participation of all employees in an effort to lobby the pennsylvania state legislature for the passage of a certain bill before the body. novosel, who had privately indicated his disagreement with nationwide's political views, refused to lend his support to the lobby, and his employment with nationwide was terminated. novosel brought two separate claims against nationwide, arguing, first, that his discharge for refusing to lobby the state legislature on behalf of nationwide constituted the tort of wrongful discharge in that it was arbitrary, malicious, and contrary to public policy. novosel also contended that nationwide breached an implied contract guaranteeing continued employment so long as his job performance was satisfactory. what decision as to each claim?

1. what is the lowest balance during this period? 2. lily just received her bank statement below. a. what does the bank think her ending balance is? b. how much more does the bank think lily has? c. what transactions are missing? 3. what is the danger of not balancing your bank account? lily’s bank statement deposits: 2/25 $35 2/26 $20 3/1 $256.32 checks: 2/24 ck #301 $25 2/26 #302 $150 debit card: 2/24 american eagle $75.48 2/25 chick fa la $4.67 2/27 mcdonalds $3.56 2/28 chevron $34.76 withdrawal: 2/27 $40 beginning balance $423.34 deposits $311.32 total debits $333.47 ending balance $401.19

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.