A manufacturing company wants to keep their revenue positive. The equation for represents their cost, where represents the time in months. The equation for represents their profit. The equation for represents their revenue. a. Write an equation to represent the profit. b. Identify the degree, leading coefficient, leading term, and constant of the profit equation. c. Factor the polynomial. d. Solve the equation to determine the values where the company will break even.

Catherine de bourgh has one child, anne, who is 18 years old at the end of the year. anne lived at home for seven months during the year before leaving home to attend state university for the rest of the year. during the year, anne earned $6,000 while working part time. catherine provided 80 percent of anne's support and anne provided the rest. which of the following statements regarding whether anne is catherine's qualifying child for the current year is correct? a.anne is a qualifying child of catherine.b.anne is not a qualifying child of catherine because she fails the gross income test.c.anne is not a qualifying child of catherine because she fails the residence test.d.anne is not a qualifying child of catherine because she fails the support test.

Two assets have the following expected returns and standard deviations when the risk-free rate is 5%: asset a e(ra) = 18.5% σa = 20% asset b e(rb) = 15% σb = 27% an investor with a risk aversion of a = 3 would find that on a risk-return basis. a. only asset a is acceptable b. only asset b is acceptable c. neither asset a nor asset b is acceptable d. both asset a and asset b are acceptable

Arnold rossiter is a 40-year-old employee of the barrington company who will retire at age 60 and expects to live to age 75. the firm has promised a retirement income of $20,000 at the end of each year following retirement until death. the firm's pension fund is expected to earn 7 percent annually on its assets and the firm uses 7% to discount pension benefits. what is barrington's annual pension contribution to the nearest dollar for mr. rossiter? (assume certainty and end-of-year cash flows.)