The country of Uzbekistan has 1 million people. Of those 1 million people, 200 thousand are under 16 years of age, 500 thousand are working, 200 thousand are unemployed according to the Uzbekistani Bureau of Labor Statistics, and 100 thousand are not actively looking for work but would be willing to take a job if they were offered one. The rate of unemployment is

The gomez company, a merchandising firm, has budgeted its activity for december according to the following information: • sales at $500,000, all for cash. • merchandise inventory on november 30 was $250,000. • the cash balance at december 1 was $20,000. • selling and administrative expenses are budgeted at $50,000 for december and are paid for in cash. • budgeted depreciation for december is $30,000. • the planned merchandise inventory on december 31 is $260,000. • the cost of goods sold represents 75% of the selling price. • all purchases are paid for in cash. the budgeted cash disbursements for december are:

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.

Bonds often pay a coupon twice a year. for the valuation of bonds that make semiannual payments, the number of periods doubles, whereas the amount of cash flow decreases by half. using the values of cash flows and number of periods, the valuation model is adjusted accordingly. assume that a $1,000,000 par value, semiannual coupon us treasury note with three years to maturity has a coupon rate of 3%. the yield to maturity (ytm) of the bond is 7.70%. using this information and ignoring the other costs involved, calculate the value of the treasury note: