You want to paint your room yellow, so you get some samples at the paint store. when you hold the sample against your white wall, it looks different from the way it looks against the green curtain. a psychologist would attribute this to perceptual constancy. visual paradoxes. contrast effects. threshold differences.

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?

Uppose that the federal reserve purchases a bond for $100,000 from donald truck, who deposits the proceeds in the manufacturer’s national bank. what will be the impact of this purchase on the supply of money? the money supply will increase by $100,000. the money supply will increase by $80,000. the money supply will increase by $500,000. this action will have no effect on the money supply. if the reserve requirement ratio is 20 percent, what is the maximum amount of additional loans that the manufacturer’s bank will be able to extend as the result of truck’s deposit? the maximum additional loans is $100,000. the maximum additional loans is $80,000. the maximum additional loans is $20,000. the maximum additional loans is $500,000. given the 20 percent reserve requirement, what is the maximum increase in the quantity of checkable deposits that could result throughout the entire banking system because of the fed’s action? this action will have no effect on the money supply. the money supply will eventually increase by $80,000. the money supply will eventually increase by $500,000. the money supply will eventually increase by $100,000.

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.