Adeposit of $5000 is made to a bank account paying 1.5% annual interest, compounded continuously. (a) write the differential equation for the balance in the account, b, as a function of time, t, in years. (b) solve the differential equation. (c) how much money is in the account in 10 years?

M. cotteleer electronics supplies microcomputer circuitry to a company that incorporates microprocessors into refrigerators and other home appliances. one of the components has an annual demand of 235 units, and this is constant throughout the year. carrying cost is estimated to be $1.25 per unit per year, and the ordering (setup) cost is $21 per order. a) to minimize cost, how many units should be ordered each time an order is placed? b) how many orders per year are needed with the optimal policy? c) what is the average inventory if costs are minimized? d) suppose that the ordering cost is not $21, and cotteleer has been ordering 125 units each time an order is placed. for this order policy (of q = 125) to be optimal, determine what the ordering cost would have to be.

Consider a treasury bill with a rate of return of 5% and the following risky securities: security a: e(r) = .15; variance = .0400 security b: e(r) = .10; variance = .0225 security c: e(r) = .12; variance = .1000 security d: e(r) = .13; variance = .0625 the investor must develop a complete portfolio by combining the risk-free asset with one of the securities mentioned above. the security the investor should choose as part of her complete portfolio to achieve the best cal would be a. security a b. security b c. security c d. security d

Andy owns islander surfboard inc. in the past, andy has always given his employees bonuses during the holidays if they reached certain sales goals. this year, even though the company is thriving, he decided to cut bonuses from employees and award them to himself instead. what ethical theory of leadership is andy following?