On September 1, Ziegler Corporation had 71,000 shares of $5 par value common stock, and $213,000 of retained earnings. On that date, when the market price of the stock is $15 per share, the corporation issues a 2-for-1 stock split. The general journal entry to record this transaction is:

Roi analysis using dupont model. charlie? s furniture store has been in business for several years. the firm? s owners have described the store as a ? high-price, highservice? operation that provides lots of assistance to its customers. margin has averaged a relatively high 32% per year for several years, but turnover has been a relatively low 0.4 based on average total assets of $800,000. a discount furniture store is about to open in the area served by charlie? s, and management is considering lowering prices in order to compete effectively. required: a. calculate current sales and roi for charlie? s furniture store. b. assuming that the new strategy would reduce margin to 20%, and assuming that average total assets would stay the same, calculate the sales that would be required to have the same roi as they currently earned. c. suppose that you presented the results of your analysis in parts a and b of this problem to charlie, and he replied, ? what

Exercise 18-15 sheffield appliance center is an experienced home appliance dealer. sheffield appliance center also offers a number of services for the home appliances that it sells. assume that sheffield appliance center sells ovens on a standalone basis. sheffield appliance center also sells installation services and maintenance services for ovens. however, sheffield appliance center does not offer installation or maintenance services to customers who buy ovens from other vendors. pricing for ovens is as follows. oven only $790 oven with installation service 850 oven with maintenance services 970 oven with installation and maintenance services 990 in each instance in which maintenance services are provided, the maintenance service is separately priced within the arrangement at $180. additionally, the incremental amount charged by sheffield appliance center for installation approximates the amount charged by independent third parties. ovens are sold subject to a general right of return. if a customer purchases an oven with installation and/or maintenance services, in the event sheffield appliance center does not complete the service satisfactorily, the customer is only entitled to a refund of the portion of the fee that exceeds $790. assume that a customer purchases an oven with both installation and maintenance services for $990. (b) indicate the amount of revenue that should be allocated to the oven, the installation, and to the maintenance contract.

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.