Your uncle will sell you his bicycle shop for $250,000, with "seller financing," at a 6.0% nominal annual rate. the terms of the loan would require you to make 12 equal end-of-month payments per year for 4 years, and then make an additional final (balloon) payment of $50,000 at the end of the last month. what would your equal monthly payments be?

$4,029.37

$4,241.44

$4,464.67

$4,699.66

$4,947.01

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.

Which of the following businesses is most likely to disrupt an existing industry? a. closer connex developed an earphone that receives emails and text messages and converts them to voice messages. the first models had poor reception, but they rapidly improved over time. b. mega technologies reconfigured the components used in its touchscreen tablets to create a new type of wearable device for use in restaurants and other service industries. c. particle inc. developed a teleportation technology that can transport physical materials instantaneously across great distances. d. altrea added advanced camera technology to its premium line of smartphones so that they would take the highest-quality photos of all phones on the market.