On January 1, 2017, Ahmed Inc. loaned $316,837 to Cyrus Co. A zero-interest-bearing note (face amount, $400,000) was exchanged solely for cash; no other rights or privileges were exchanged. The note is to be repaid on December 31, 2020. The prevailing rate of interest for a loan of this type is 6%. What amount of interest expense will Cyrus recognize over the four years?

Winners of the georgia lotto drawing are given the choice of receiving the winning amount divided equally over 2121 years or as a lump-sum cash option amount. the cash option amount is determined by discounting the annual winning payment at 88% over 2121 years. this week the lottery is worth $1616 million to a single winner. what would the cash option payout be?

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.

The upper-level managers of synergy technology are meeting for the week to look at the long-term company goals and overall direction of the organization. the ceo has expressed her concern over the economy and has told her managers to look closely at the environment outside the organization before making decisions and to be future oriented. in this meeting, top managers of synergy are