Julie stops at the grocery store to purchase detergent. Tide is her favorite brand, but if another detergent is less expensive, she buys it. This is an example of .

Burke enterprises is considering a machine costing $30 billion that will result in initial after-tax cash savings of $3.7 billion at the end of the first year, and these savings will grow at a rate of 2 percent per year for 11 years. after 11 years, the company can sell the parts for $5 billion. burke has a target debt/equity ratio of 1.2, a beta of 1.79. you estimate that the return on the market is 7.5% and t-bills are currently yielding 2.5%. burke has two issuances of bonds outstanding. the first has 200,000 bonds trading at 98% of par, with coupons of 5%, face of $1000, and maturity of 5 years. the second has 500,000 bonds trading at par, with coupons of 7.5%, face of $1000, and maturity of 12 years. kate, the ceo, usually applies an adjustment factor to the discount rate of +2 for such highly innovative projects. should the company take on the project?

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.

On january 1, year 1, purl corp. purchased as a long-term investment $500,000 face amount of shaw, inc.’s 8% bonds for $456,200. the bonds were purchased to yield 10% interest. the bonds mature on january 1, year 6, and pay interest annually on january 1. purl uses the effective interest method of amortization. what amount (rounded to nearest $100) should purl report on its december 31, year 2, balance sheet for these held-to-maturity bonds?