A bond with coupons of 40 sells for P P. A second bond with the same maturity value and term has coupons equal to 30 and sells for Q Q. A third bond with the same maturity value and term has coupons equal to 80. All prices are based on the same yield rate, and all coupons are paid at the same frequency. Determine the price of the third bond.

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.

Bandar industries berhad of malaysia manufactures sporting equipment. one of the company’s products, a football helmet for the north american market, requires a special plastic. during the quarter ending june 30, the company manufactured 35,000 helmets, using 22,500 kilograms of plastic. the plastic cost the company $171,000. according to the standard cost card, each helmet should require 0.6 kilograms of plastic, at a cost of $8 per kilogram. 1. what is the standard quantity of kilograms of plastic (sq) that is allowed to make 35,000 helmets? 2. what is the standard materials cost allowed (sq x sp) to make 35,000 helmets? 3. what is the materials spending variance? 4. what is the materials price variance and the materials quantity variance?

Tony prince is the project manager for the recreation and wellness intranet project. team members include you, a programmer/analyst and aspiring project manager; patrick, a network specialist; nancy, a business analyst; and bonnie, another programmer/analyst. other people are supporting the project from other departments, including yusaff from human resources and cassandra from finance. assume that these are the only people who can be assigned and charged to work on project activities. recall that your schedule and cost goals are to complete the project in six months for under $200,000.task 2identify at least eight milestones for the recreation and wellness intranet project. write a short paper describing each milestone using the smart criteria. discuss how determining these milestones might add activities or tasks to the gantt chart. remember that milestones normally have no duration, so you must have tasks that will lead to completing the milestone.