Project_5_QR_Percentages_spring_2021_2nd_8
1. A newspaper headline claims: “Apple spends far less on Research & Development than any of its rivals.” Further into the story, the reporter writes that Apple spends a paltry 2% of revenues compared with 14% at Google and Microsoft.
a. What is the mistaken assumption here?
b. Why is that assumption incorrect?
c. Is there a situation where the headline is still correct?
2. A shop owner raises the price of a $150 pair of shoes by 40%. After a few weeks, because of falling sales, the owner reduces the price of the shoes by 40%. A customer then says that the shoes are back at the original price.
a. What is the mistaken assumption here?
b. Why is that assumption incorrect?
c. What do the shoes actually cost now? show calculation
d. By what percent should the shoes be decreased in order to have the price back at $150? Round to the nearest 10th percentage. (for example if your decimal answer is .058267 your answer would be 5.8267% round to nearest 10th percent answer is 5.8%) show calculation
3. The annual number of burglaries in a town rose by 50% in 2012 and fell by 10% in 2013. Hence the total number of burglaries increased by 40% over the two year period.
a. What is the mistaken assumption here?
b. Why is that assumption incorrect?
c. By what percent has the number of burglaries actually changed in the two year period? show calculation
d. By what percent would the crime have to decrease in the second year in
order for the change over the two-year period to actually be a 40% increase? Round to nearest 10th percent (ex decimal .05873 is 5.873% to one decimal is 5.9%) show calculation
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