Brian has just finished college. he wants to set up a small business to make and sell fireworks. he registers his company and acquires a license from the government. he finds that most of his competitors are selling fireworks at an extremely low price. he would like to make more money, so he decides to innovate and develop better fireworks. he sells his fireworks at a higher price, and they are a huge hit with the customers. after a few years, he earns enough profit to set up a bigger fireworks factory that complies with the government’s health and safety regulations. he even starts exporting fireworks overseas. which type of economy does this scenario describe?

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.

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.

Why is it easier for new entrants to get involved in radical innovations when compared to incumbent firms? a. unlike incumbent firms, new entrants do not have to face the high entry barriers, initially. b. new entrants are embedded in an innovation ecosystem, while incumbent firms are not. c. unlike incumbent firms, new entrants do not have formal organizational structures and processes. d. incumbent firms do not have the advantages of network effects that new entrants have.