The Lory Company had net earnings of $127,000 this past year. Dividends of $38,100 were paid. The company's equity was $1,587,500. If Lory has 100,000 shares outstanding with a current market price of $11.625 per share, and a dividend growth rate is 5.6%, what is the firm’s discount rate?

If temper company, a manufacturer of mattresses, was considering moving its production facilities to china but decided against it because the additional costs of shipping the mattresses back to the u.s. would offset the cost savings associated with moving the production facilities, the increased costs associated with shipping would be an example ofanswers: learning-curve economies.diseconomies of scale.economies of scale.competitive advantages.

In december of 2004, the company you own entered into a 20-year contract with a grain supplier for daily deliveries of grain to its hot dog bun manufacturing facility. the contract called for "10,000 pounds of grain" to be delivered to the facility at the price of $100,000 per day. until february 2017, the supplier provided processed grain which could easily be used in your manufacturing process. however, no longer wanting to absorb the cost of having the grain processed, the supplier began delivering whole grain. the supplier is arguing that the contract does not specify the type of grain that would be supplied and that it has not breached the contract. your company is arguing that the supplier has an onsite processing plant and processed grain was implicit to the terms of the contract. over the remaining term of the contract, reshipping and having the grain processed would cost your company approximately $10,000,000, opposed to a cost of around $1,000,000 to the supplier. after speaking with in-house counsel, it was estimated that litigation would cost the company several million dollars and last for years. weighing the costs of litigation, along with possible ambiguity in the contract, what are three options you could take to resolve the dispute? which would be the best option for your business and why?

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.