If you begin saving $2,000 a year at 5% (from age 22 to age 30 or 9 years), what will these funds grow to in this time period?

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.

Suppose that two firms produce differentiated products and compete in prices. as in class, the two firms are located at two ends of a line one mile apart. consumers are evenly distributed along the line. the firms have identical marginal cost, $60. firm b produces a product with value $110 to consumers. firm a (located at 0 on the unit line) produces a higher quality product with value $120 to consumers. the cost of travel are directly related to the distance a consumer travels to purchase a good. if a consumerhas to travel a mile to purchase a good, the incur a cost of $20. if they have to travel x fraction of a mile, they incur a cost of $20x. (a) write down the expressions for how much a consumer at location d would value the products sold by firms a and b, if they set prices p_{a} and p_{b} ? (b) based on your expressions in (a), how much will be demanded from each firm if prices p_{a} and p_{b} are set? (c) what are the nash equilibrium prices?

John's pizzeria and equilibrium john is selling his pizza for $6 per slice in an area of high demand. however, customers are not buying his pizza. using what you learned about the principles of equilibrium, write three to four sentences about how john could solve his problem.