2.At a price of $1.04 per roll, the supply of toilet paper in a large town is 25,000 rolls, and
mand is 18,200 rolls. When the demand increases to 26,200 rolls, the supply is 20,000 and the price is $1.24 per roll. Let x be the quantity in thousands of rolls. The table below gives the price-supply and price-demand equations.
Price Equations for Toilet Paper
Price-Supply P = -0.04x + 2.04
Price-Demand P = 0.025x + 1.495
Find the supply at a price of $2 per roll.
Find the demand at a price of $2 per roll.
Use the substitution method to find the equilibrium quantity. Round x to the nearest tenth first and then convert to thousands. Include the units in your answer.
What is the equilibrium price? Write the answer in dollars and cents, rounding to the nearest cent.
4.1) Employees in 2012 paid 4.2% of their gross wages towards social security (FICA tax), while employers paid another 6.2%.
ers paid another 6.2%. How much will someone earning $34,000 a year pay towards social security out of their gross wages?
2) The population of a town increased from 3350 in 2005 to 4800 in 2010. Find the absolute and relative (percent) increase.
3)A company's sales in Seattle were $400,000 in 2012, while their sales in Portland were $295,000 for the same year. Complete the following statements:
a. Seattle's sales were
% larger than Portland's.
b. Portland sales were
% smaller than Seattle's.
c. Portland sales were
% of Seattle's.
4) A store has clearance items that have been marked down by 55%. They are having a sale, advertising an additional 30% off clearance items. What percent of the original price do you end up paying?
5) A friend has a 83% average before the final exam for a course. That score includes everything but the final, which counts for 15% of the course grade.
What is the best course grade your friend can earn?
What is the minimum score your friend would need on the final to earn a 75% for the course?
Give answers accurate to at least one decimal place.
6) A car is driving at 50 kilometers per hour. How far, in meters, does it travel in 3 seconds?
Give your answer to the nearest meter.
5.In a small regional town (stable population) hospital doctors noticed an unusually high incidence of a rare eye cancer.
a rare eye cancer. There were suspicions that it could have been due to exposure to a chemical used at a local distillery. A well-defined case control study in the town revealed of the 110 identified cases of this eye cancer, 80 had been exposed to the chemical. In the control group of 330 randomly selected people from within the study base, 40 had been exposed to the chemical.
Of the total number of cases of the rare eye cancer in the community, what proportion can be attributed to exposure to the chemical?