A certain manufacturer of cake, muffin, and bread mixes has 100 buyers, of whom 50 purchase cake mix, 40 purchase muffin mix, and 20 purchase both cake mix and muffin mix. If a buyer is to be selected at random from the 100 buyers, what is the probability that the buyer selected will be one who purchases neither cake mix nor muffin mix?

Grace period is a period of time before the credit card company starts charging late fees. truefalse

Steele bicycle manufacturing company currently produces the handlebars used in manufacturing its bicycles, which are high-quality racing bikes with limited sales. steele produces and sells only 10,000 bikes each year. due to the low volume of activity, steele is unable to obtain the economies of scale that larger producers achieve. for example, steele could buy the handlebars for $31 each: they cost $34 each to make. the following is a detailed breakdown of current production costs: after seeing these figures, steele's president remarked that it would be foolish for the company to continue to produce the handlebars at $34 each when it can buy them for $31 each. calculate the total relevant cost. do you agree with the president's conclusion?

In allentown, pennsylvania, in the summer of 2014, the average price of a gallon of gasoline was $3.68long dasha 22-cent increase from the year before. many consumers were upset by the increase. one was quoted in a local newspaper as saying, "it's crazy. the government should step in." source: sam kennedy, "valley feeling pain at the pump," (allentown, pa) morning call, june 21, 2014. suppose the government had stepped in and imposed a price ceiling equal to old price of $3.46 per gallon. a. using the line drawing tool, draw and label the price ceiling. carefully follow the instructions above, and only draw the required object.