Interest rates on 4-year Treasury securities are currently 5.1%, while 6-year Treasury securities yield 7.95%. If the pure expectations theory is correct, what does the market believe that 2-year securities will be yielding 4 years from now

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.

After graduation, you plan to work for dynamo corporation for 12 years and then start your own business. you expect to save and deposit $7,500 a year for the first 6 years (t = 1 through t = 6) and $15,000 annually for the following 6 years (t = 7 through t = 12). the first deposit will be made a year from today. in addition, your grandfather just gave you a $32,500 graduation gift which you will deposit immediately (t = 0). if the account earns 9% compounded annually, how much will you have when you start your business 12 years from now?

Casey communications recently issued new common stock and used the proceeds to pay off some of its short-term notes payable. this action had no effect on the company's total assets or operating income. which of the following effects would occur as a result of this action? a. the company's current ratio increased. b. the company's times interest earned ratio decreased. c. the company's basic earning power ratio increased. d. the company's equity multiplier increased. e. the company's debt ratio increased.