Nathan is determining next year’s advertising budget by establishing specific marketing objectives, assessing the communication functions that must be performed to accomplish those objectives, determining advertising’s role in the total communication mix, establishing specific advertising goals in terms of the levels of measurable communication response required to achieve the marketing objectives, and establishing the budget based on estimates of expenditures required to accomplish the advertising goals. which advertising budgeting method is nathan using?

Alandowner entered into a written agreement with a real estate broker whereby the broker would receive a commission of 10% of the sale price if he procured a "ready, willing, and able buyer" for the landowner's property and if the sale actually proceeded through closing. the broker found a buyer who agreed in writing to buy the property from the landowner for $100,000, the landowner's asking price. the buyer put up $6,000 as a down payment. the agreement between the landowner and the buyer contained a liquidated damages clause providing that, if the buyer defaulted by failing to tender the balance due of $94,000 at the closing date, damages would be 10% of the purchase price. the landowner included that clause because she was counting on using the proceeds of the sale for a business venture that would likely net her at least $10,000. the buyer became seriously ill and defaulted. when he recovered, he demanded that the landowner return his $6,000, and the landowner refused. the broker also demanded the $6,000 from the landowner and was refused. the broker and the buyer filed separate suits against the landowner, with the buyer pleading impossibility of performance. the two cases are consolidated into a single case. how should the court rule as to the disposition of the $6,000?

Precision dyes is analyzing two machines to determine which one it should purchase. the company requires a rate of return of 15 percent and uses straight-line depreciation to a zero book value over the life of its equipment. ignore bonus depreciation. machine a has a cost of $462,000, annual aftertax cash outflows of $46,200, and a four-year life. machine b costs $898,000, has annual aftertax cash outflows of $16,500, and has a seven-year life. whichever machine is purchased will be replaced at the end of its useful life. which machine should the company purchase and how much less is that machine's eac as compared to the other machine's

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.