Your grandmother has left you an inheritance of $12,000 each year for 7 years. The payments will not begin until 5 years from today (that is, the first cash flow occurs at the end of the fifth year). If the appropriate discount rate is 8%, what is the present value of this cash flow stream?

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Differentiate between the trait, behavioral, and results-based performance appraisal systems, providing an example where each would be most applicable.

Andy purchases only two goods, apples (a) and kumquats (k). he has an income of $125 and can buy apples at $5 per pound and kumquats at $5 per pound. his utility function is u(a, k) = 6a + 2k. what is his marginal utility for apples and his marginal utility for kumquats? andy's marginal utility for apples (mu subscript a) is mu subscript aequals 6 and his marginal utility for kumquats (mu subscript k) is