North around, inc. stock is expected to return 22 percent in a boom, 13 percent in a normal economy, and −15 percent in a recession. the probabilities of a boom, normal economy, and a recession are 6 percent, 92 percent, and 2 percent, respectively. what is the standard deviation of the returns on this stock?

Franklin painting company is considering whether to purchase a new spray paint machine that costs $4,800. the machine is expected to save labor, increasing net income by $720 per year. the effective life of the machine is 15 years according to the manufacturer’s estimate. required determine the unadjusted rate of return based on the average cost of the investment.

Suppose a ceiling fan manufacturer has the total cost function c(x) = 48x + 1485 and the total revenue function r(x) = 75x. (a) what is the equation of the profit function p(x) for this commodity? p(x) = (b) what is the profit on 35 units? p(35) = interpret your result. the total costs are less than the revenue. the total costs are more than the revenue. the total costs are exactly the same as the revenue. (c) how many fans must be sold to avoid losing money? fans

Insurance companies have internal controls in place to protect assets, monitor the accuracy of accounting records and encourage operational efficiencies and adherence to policies. these internal controls are generally of two types: administrative controls and accounting controls. administrative controls are the policies and procedures that guide the daily actions of employees. accounting controls are the policies and procedures that delineate authorizations of financial transactions that are done, safeguard assets, and provide reports on the company’s financial status in a reliable and timely manner. internal controls should include both preventative and detective controls. the purpose of preventative controls is to stop problems and errors before they occur. detective controls identify problems after they have occurred. preventative controls are usually more effective at reducing problems, but they also tend to be more expensive. internal controls must be flexible to adjust for changes in laws and regulations in addition to adding new products or modifying current ones. companies must also do regular analyses to ensure that the benefits of implementing the controls are worth their costs. when concerned about paying unwarranted insurance claims which type of control would be useful?