2. The use of plastic water bottles creates external costs as the result of plastic production, bottle transportation, litter, and waste disposal. Draw a correctly
labeled graph showing how the market will determine the quantity of water
bottles purchased. On the same graph, show the marginal external cost, the
socially optimal quantity of water bottles, and the size of a Pigouvian tax that
could be used to achieve the socially optimal quantity of water bottles.

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.

Marta communications, inc. has provided incomplete financial statements for the month ended march 31. the controller has asked you to calculate the missing amounts in the incomplete financial statements. use the information included in the excel simulation and the excel functions described below to complete the task

In year 1, the bennetts' 25-year-old daughter, jane, is a full-time student at an out-of-state university but she plans to return home after the school year ends. in previous years, jane has never worked and her parents have always been able to claim her as a dependent. in year 1, a kind neighbor offers to pay for all of jane's educational and living expenses. which of the following statements is most accurate regarding whether jane's parents would be allowed to claim an exemption for jane in year 1 assuming the neighbor pays for all of jane's support? a.no, jane must include her neighbor's gift as income and thus fails the gross income test for a qualifying relative.b.yes, because she is a full-time student and does not provide more than half of her own support, jane is considered her parent's qualifying child.c.no, jane is too old to be considered a qualifying child and fails the support test of a qualifying relative.d.yes, because she is a student, her absence is considered as "temporary." consequently she meets the residence test and is a considered a qualifying child of the bennetts.