Problema Solution
the american heart association estimates that 1.25 million americans will have heart attacks in 1 year and that about 34% will die. If better healthcare and healthier living habits can cause a decrease in the number of heart attacks by 4% per year, how many deaths will there be from heart attacks per year at the end of the third year?
Answer provided by our tutors
death from heart-attack: 0.34*1.25 million
after 1 year decrease of 4%: 0.34*1.25 - 0.04*0.34*1.25 = 0.34*1.25(1 - 0.04) = 0.96*0.34*1.25
after 2 years decrease of 4%: 0.96*0.96*0.34*1.25 = (0.96^2)*0.34*1.25
after 3 years decrease of 4%: 0.96*0.96*0.96*0.34*1.25 = (0.96^3)*0.34*1.25 = 0.3760128 millions = 0.3760128*10^6 = 376012.8
after 3 years 376,012.8 americans will die of heart attacks.