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31 January, 06:20

The population of a town grew from 20,000 to 28,000. The continuous growth rate is 15%. The equation 20,000e^0.15t=28,000 represents the situation, where t is the number of years the population has been growing. About how many years has the population of the town been growing? Use a calculator and round your answer to the nearest whole number.

A. 2 years

B. 9 years

C. 17 years

D. 22 years

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Answers (1)
  1. 31 January, 07:26
    0
    E^0.15t = 28,000 / 20,000 = 1.4

    taking logs:-

    0.15t = ln 1.4

    t = = 2.243

    answer is 2 years
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