Hewitt Bank quotes a value for the Japanese yen (¥) of $0.007, and a value for the Canadian dollar (C$) of $0.821. The cross exchange rate quoted by the bank for the Canadian dollar is ¥118.00. You have $5,000 to conduct triangular arbitrage. How much will you end up with if you conduct triangular arbitrage?

Paar corporation bought 100 percent of kimmel, inc., on january 1, 2012. on that date, paar’s equipment (10-year life) has a book value of $420,000 but a fair value of $520,000. kimmel has equipment (10-year life) with a book value of $272,000 but a fair value of $400,000. paar uses the equity method to record its investment in kimmel. on december 31, 2014, paar has equipment with a book value of $294,000 but a fair value of $445,200. kimmel has equipment with a book value of $190,400 but a fair value of $357,000. the consolidated balance for the equipment account as of december 31, 2014 is $574,000. what would be the impact on consolidated balance for the equipment account as of december 31, 2014 if the parent had applied the initial value method rather than the equity method? the balance in the consolidated equipment account cannot be determined for the initial value method using the information given. the consolidated equipment account would have a higher reported balance. the consolidated equipment account would have a lower reported balance. no effect: the method the parent uses is for internal reporting purposes only and has no impact on consolidated totals.

Burke enterprises is considering a machine costing $30 billion that will result in initial after-tax cash savings of $3.7 billion at the end of the first year, and these savings will grow at a rate of 2 percent per year for 11 years. after 11 years, the company can sell the parts for $5 billion. burke has a target debt/equity ratio of 1.2, a beta of 1.79. you estimate that the return on the market is 7.5% and t-bills are currently yielding 2.5%. burke has two issuances of bonds outstanding. the first has 200,000 bonds trading at 98% of par, with coupons of 5%, face of $1000, and maturity of 5 years. the second has 500,000 bonds trading at par, with coupons of 7.5%, face of $1000, and maturity of 12 years. kate, the ceo, usually applies an adjustment factor to the discount rate of +2 for such highly innovative projects. should the company take on the project?

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.