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24 April, 22:57

A countrys population in 1995 was 173 million in 1997 it was 178 million estamate the population in 2005 using the expontial growth formula round your awser to the nearest million

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  1. 24 April, 23:19
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    Answer: the population in 2005 is

    199393207

    Step-by-step explanation:

    The formula for exponential growth which is expressed as

    A = P (1 + r/n) ^ nt

    Where

    A represents the population after t years.

    n represents the periodic interval at which growth is recorded.

    t represents the number of years.

    P represents the initial population.

    r represents rate of growth.

    From the information given,

    P = 173 million

    A = 178 million

    t = 1997 - 1995 = 2 years

    n = 1

    Therefore

    178 * 10^6 = 173 * 10^6 (1 + r/1) ^2 * 1

    178 * 10^6/173 * 10^6 = (1 + r) ^2

    1.0289 = (1 + r) ^2

    Taking square root of both sides, it becomes

    √1.0289 = √ (1 + r) ^2

    1 + r = 1.0143

    r = 1.0143 - 1 = 0.0143

    Therefore, in 2005,

    t = 2005 - 1995 = 10

    A = 173 * 10^6 (1 + 0.0143) ^10

    A = 173 * 10^6 (1.0143) ^10

    A = 199393207
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