SOLUTION: The homicide rate decreases at a rate of 5% per year in a city that had 900 homicides in the most recent year. a. At this rate, in how many years will the number of homicides reac

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The homicide rate decreases at a rate of 5% per year in a city that had 900 homicides in the most recent year. a. At this rate, in how many years will the number of homicides reac      Log On


   

Question 1130800: The homicide rate decreases at a rate of 5% per year in a city that had 900 homicides in the most recent year.
a. At this rate, in how many years will the number of homicides reach 450 in a year? Use the approximation formula.
B. What is the exact answer.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The homicide rate decreases at a rate of 5% per year in a city that had 900 homicides in the most recent year.
a. At this rate, in how many years will the number of homicides reach 450 in a year? Use the approximation formula.
B. What is the exact answer.
450 = 900*0.95^t
0.95^t = 1/2
t = log(1/2)/log(0.95) = 13.51
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Ans: In the 14th year
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Cheers,
Stan H.
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