Astudy has been conducted to determine if one of the departments in parry company should be discontinued. the contribution margin in the department is $50,000 per year. fixed expenses charged to the department are $65,000 per year. it is estimated that $40,000 of these fixed expenses could be eliminated if the department is discontinued. these data indicate that if the department is discontinued, the company's overall net operating income would:

decrease by $25,000 per year
increase by $25,000 per year
decrease by $10,000 per year
increase by $10,000 per year

According to the law of demand, there is an inverse relationship between price and quantity demanded. that is, the demand curve for goods and services slopes downward. why?

Annuity payments are assumed to come at the end of each payment period (termed an ordinary annuity). however, an exception occurs when the annuity payments come at the beginning of each period (termed an annuity due). what is the future value of a 13-year annuity of $2,800 per period where payments come at the beginning of each period? the interest rate is 9 percent. use appendix c for an approximate answer, but calculate your final answer using the formula and financial calculator methods. to find the future value of an annuity due when using the appendix tables, add 1 to n and subtract 1 from the tabular value. for example, to find the future value of a $100 payment at the beginning of each period for five periods at 10 percent, go to appendix c for n = 6 and i = 10 percent. look up the value of 7.716 and subtract 1 from it for an answer of 6.716 or $671.60 ($100 × 6.716)

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.