1. Suppose Essos's stock price is currently 30 $ In the next six months it will either fall to 24$ or rise to 36 $. What is the current value of a put option with an exercise price of $27? The six-month risk-free interest rate is 5% per six-month period.

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.

bradford, inc., expects to sell 9,000 ceramic vases for $21 each. direct materials costs are $3, direct manufacturing labor is $12, and manufacturing overhead is $3 per vase. the following inventory levels apply to 2019: beginning inventory ending inventory direct materials 3,000 units 3,000 units work-in-process inventory 0 units 0 units finished goods inventory 300 units 500 units what are the 2019 budgeted production costs for direct materials, direct manufacturing labor, and manufacturing overhead, respectively?

Which of the following constitute the types of unemployment occurring at the natural rate of unemployment? a. frictional and cyclical unemployment.b. structural and frictional unemployment.c. cyclical and structural unemployment.d. frictional, structural, and cyclical unemployment.