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25 votes
Please answer the following question that I have attached

Please answer the following question that I have attached-example-1
User Abey
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1 Answer

18 votes
18 votes

Answer: 69 years

Explanation:

y=ab^x

Let y be the number of homicides per year, and x be the number of years since year 0 (the most recent year).

y=1000(0.99)^x

The rate decrease is 1% = 0.01.

We want to know when y = 500.

500 = 1000 * (0.99)^x

0.5 = (0.99)^x

ln(0.5) = ln(0.99^x)

ln(0.5) = x ln(0.99)

x = ln(0.5)/ln(0.99)

x = 68.967563

Round off and you get 69 years.

User Itsnikolay
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