12.(term structure and bond price)you are given an incomplete specificationof the term structure, as specified by the spot rates and that the price of a6-year bond with coupon rate 10% is $145.749 and the price of a 6-year bondwith coupon rate 5% is $100.315. for all bonds, the face value is $100, andthe coupons are paid annually. assuming continuous compounding, find themissing rates. s1=? , s2= 6.9%, s3= 7.5%, s4=? , s5= 8.4%, s6=? f1,2= 7.8%, f2,3= 8.7%, f5,6=? , f1,3= 8.25%, f2,4= 11.55%

Afreelance​ singer-songwriter is planning the restoration of a recently purchased civil​ war-era farmhouse. while he professes an enjoyment​ of, and talent in the construction​ trades, the theory of comparative advantage implies that a. the value of what he imports​ (in this​ case, professional contractor​ services) must equal the value of what he exports​ (songs). b. he should concentrate on the restoration work since his​ out-of-pocket costs will be much lower than if he hires professionals. c. ​self-sufficiency is​ advantageous, hence he should split his time between music and construction. d. the income lost while away from music will likely exceed the savings realized by doing the work​ himself, thus, he should hire professionals to do the restoration work. e. he ought to do as much of the work himself as possible since imports​ (in this​ case, professional contractor​ services) should always be restricted to those things that cannot be done internall

Walsh company manufactures and sells one product. the following information pertains to each of the company’s first two years of operations: variable costs per unit: manufacturing: direct materials $ 25 direct labor $ 12 variable manufacturing overhead $ 5 variable selling and administrative $ 4 fixed costs per year: fixed manufacturing overhead $ 400,000 fixed selling and administrative expenses $ 60,000 during its first year of operations, walsh produced 50,000 units and sold 40,000 units. during its second year of operations, it produced 40,000 units and sold 50,000 units. the selling price of the company’s product is $83 per unit. required: 1. assume the company uses variable costing: a. compute the unit product cost for year 1 and year 2. b. prepare an income statement for year 1 and year 2. 2. assume the company uses absorption costing: a. compute the unit product cost for year 1 and year 2. b. prepare an income statement for year 1 and year 2. 3. reconcile the difference between variable costing and absorption costing net operating income in year 1.

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.