As supervisor of a diverse work group, Justin feels uncomfortable whenever the time for employee evaluations rolls around. As a male, he fears that any kind of negative feedback he gives to female subordinates will be interpreted as evidence of sexism. Likewise, because he is white, he hesitates to offer correction to minority employees for fear that they will interpret this as discrimination. This is an example of , one of the challenges associated with a diversified workplace.

When interest is compounded continuously, the amount of money increases at a rate proportional to the amount s present at time t, that is, ds/dt = rs, where r is the annual rate of interest. (a) find the amount of money accrued at the end of 3 years when $4000 is deposited in a savings account drawing 5 3 4 % annual interest compounded continuously. (round your answer to the nearest cent.) $ (b) in how many years will the initial sum deposited have doubled? (round your answer to the nearest year.) years (c) use a calculator to compare the amount obtained in part (a) with the amount s = 4000 1 + 1 4 (0.0575) 3(4) that is accrued when interest is compounded quarterly. (round your answer to the nearest cent.) s = $

The state in which the manufacturing company you work for is located regulates the presence of a particular substance in the environment to concentrations ≤ x. recently-released, reliable research endorsed by the responsible federal agency conclusively demonstrates that the substance poses no risks at concentrations up to 5x. your company has asked you to consider designing a new process with a waste discharge stream containing up to 2x of the substance. based on the stated conditions, describe this possible.

Evaluate a real situation between two economic actors; it could be any scenario: two competing businesses, two countries in negotiations, two kids trading baseball cards, you and another person involved in an exchange or anything else. use game theory to analyze the situation and the outcome (or potential outcome). be sure to explain the incentives, benefits and risks each face.