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5 May, 21:32

A country's population in 1995 was 184 million. in 2002 it was 188 million. estimate the population in 2006 using exponential growth formula. round your answer to the nearest millions?

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  1. 5 May, 23:47
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    P = A. e^ (r. t) is the population growth formula, where A is the initial population in a given year, exponent "r" = growth rate and exponent t = time

    A (₁₉₉₅₎ = 184 Mil. after t = 7 years, P (₂₀₀₂₎ = 188 Mil

    Let's calculate te growth rate:

    P (₂₀₀₂₎ = A (₁₉₉₅₎. e^rt

    188 = 184. e (^7r)

    188/184 = e^ (7r)

    ln (188/184) = 7. r. lne

    0.0215 = 7. r and r = 0.0030 = 0.3%

    Population in 2006

    P (₂₀₀₆₎ = P (₂₀₀₂₎. e (⁰.⁰⁰³ˣ⁴

    P (₂₀₀₆₎ = 188. e⁰.⁰¹² = 190.2 Mil
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