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Each of the four independent situations below describes a sales-type lease in which annual lease payments of $12,500 are payable at the beginning of each year. each is a finance lease for the lessee. (fv of $1, pv of $1, fva of $1, pva of $1, fvad of $1 and pvad of $1) (use appropriate factor(s) from the tables provided.) situation 1 2 3 4 lease term (years) 3 3 3 3 asset’s useful life (years) 3 4 4 6 lessor’s implicit rate (known by lessee) 14 % 14 % 14 % 14 % residual value: guaranteed by lessee 0 $ 5,000 $ 2,500 0 unguaranteed 0 0 $ 2,500 $ 5,000 purchase option: after (years) none 2 3 3 exercise price n/a $ 7,500 $ 1,500 $ 3,500 reasonably certain? n/a no no yes

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.

Amanufacturer has paid an engineering firm $200,000 to design a new plant, and it will cost another $2 million to build the plant. in the meantime, however, the manufacturer has learned of a foreign company that offers to build an equivalent plant for $2,100,000. what should the manufacturer do?