A derivative financial instrument is best described as: a. Evidence of an ownership interest in an entity such as shares of common stock.
b. A contract that has its settlement value tied to an underlying notional amount.
c. A contract that conveys to a second entity a right to receive cash from a first entity.
d. A contract that conveys to a second entity a right to future collections on accounts receivable from a first entity.

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.

Fanning company is considering the addition of a new product to its cosmetics line. the company has three distinctly different options: a skin cream, a bath oil, or a hair coloring gel. relevant information and budgeted annual income statements for each of the products follow. skin cream bath oil color gel budgeted sales in units (a) 110,000 190,000 70,000 expected sales price (b) $8 $4 $11 variable costs per unit (c) $2 $2 $7 income statements sales revenue (a × b) $880,000 $760,000 $770,000 variable costs (a × c) (220,000) (380,000) (490,000) contribution margin 660,000 380,000 280,000 fixed costs (432,000) (240,000) (76,000) net income $228,000 $140,000 $204,000 required: (a) determine the margin of safety as a percentage for each product. (b) prepare revised income statements for each product, assuming a 20 percent increase in the budgeted sales volume. (c) for each product, determine the percentage change in net income that results from the 20 percent increase in sales. (d) assuming that management is pessimistic and risk averse, which product should the company add to its cosmetics line? (e) assuming that management is optimistic and risk aggressive, which product should the company add to its cosmetics line?

On coral island in 2012, the labor force is 12,000, the unemployment rate is 10 percent, and the labor force participation rate is 60 percent. during 2013, 200 unemployed people found jobs and the working-age population increased by 1,000. the total number of people in the labor force did not change. the working-age population at the end of 2013 was the unemployment rate at the end of 2013 was round up to the second decimal. the labor force participation rate at the end of 2013 was round up to the second decimal.