Year Cash Flow 0 –$ 8,300 1 2,100 2 3,000 3 2,300 4 1,700 What is the payback period for the set of cash flows given above? (Do not round intermediate calculations and round your answer to 2 decimal places, e. g., 32.16.)

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.

Hundreds of a bank's customers have called the customer service call center to complain that they are receiving text messages on their phone telling them to access a website and enter personal information to resolve an issue with their account. what action should the bank take?

David consumes two things: gasoline (g) and bread (b). david's utility function is u(g, b) = 10g^0.25 b^0.75. use the lagrange technique to solve for david's optimal choices of gasoline and bread as a function of the price of gasoline, p_g, the price of bread, p_b, and his income m. with recent decrease in the price of gasoline (maybe due to external shock such as shale gas production) does david increase his consumption of gasoline? for david, how does partial differential g/partial differential p_g depend on his income m? that is, how does david's change in gasoline consumption due to an increase in the price of gasoline depend on his income level? to answer these questions, find the cross-partial derivative, |partial differential^2 g/partial differential m partial differential p_g.