Define variables and write systems of equations for the situation. solve using substitution. suppose you are thinking about buying one of two cars. car a will cost $17,655. you can expect to pay an average of $1230 per year for fuel, maintenance and repairs. car b will cost about $15,900. fuel maintenance and repairs for it will average about $1425 per year. after how many years are the total costs for the cars the same?

When marietta chooses to only purchase a combination of goods that lie within her budget line, she: is decreasing utility. is maximizing utility. likely has negative savings. must reduce the quantity?

Catherine de bourgh has one child, anne, who is 18 years old at the end of the year. anne lived at home for seven months during the year before leaving home to attend state university for the rest of the year. during the year, anne earned $6,000 while working part time. catherine provided 80 percent of anne's support and anne provided the rest. which of the following statements regarding whether anne is catherine's qualifying child for the current year is correct? a. anne is a qualifying child of catherine. b.anne is not a qualifying child of catherine because she fails the gross income test. c.anne is not a qualifying child of catherine because she fails the residence test. d.anne is not a qualifying child of catherine because she fails the support test.

Dominic is the founder of an innovative "impromptu catering" business that provides elegant, healthy party food and decorations on less than 24 hours' notice. the company has grown by over 150 percent in the past year. dominic credits some of the company's success to studying the strategies of prominent social entrepreneurs, such as wikipedia's jimmy wales. what can dominic do to exemplify the social entrepreneurship model?