In a particular geographical area, the demand function for each personifor a particular good is: qid= 100+ 0.2ii-9pwhere q is quantity demanded for person i, i is person i's income, and p is the commodity's price. note that p is constant across individuals, since all people face the same price. therefore there is no subscript. for the firms in this area the supply function for this good is: qj8= -50 +20pwhere in this equation q is the quantity supplied of the good by firm j. there are 5 firms and 100 consumers. total income of the consumers is $100,000. equilibrium occurs where100 σ qid= σqj8 i=1i. e. market demand equals market supply. find the equilibrium price.

Haruka hiked several kilometers in the morning. she hiked only 66 kilometers in the afternoon, which was 25% less than she had hiked in the morning. how many kilometers did haruka hike in all?

According to the data set, where should the upper quartile line of the box plot be placed?

An annual marathon covers a route that has a distance of approximately 26 miles. winning times for this marathon are all over 2 hours. the following data are the minutes over 2 hours for the winning male runners over two periods of 20 years each. earlier period 14 12 15 22 13 10 19 13 9 14 20 18 16 20 23 12 18 17 6 13 recent period 7 11 7 14 8 9 11 14 8 7 9 8 7 9 9 9 9 8 10 8 (a) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the earlier period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks. for more details, view how to split a stem.) minutes beyond 2 hours earlier period 0 1 2 (b) make a stem-and-leaf display for the minutes over 2 hours of the winning times for the recent period. use two lines per stem. (use the tens digit as the stem and the ones digit as the leaf. enter none in any unused answer blanks.) minutes beyond 2 hours recent period (c) compare the two distributions. how many times under 15 minutes are in each distribution