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25 March, 00:27

The population of a city is 45,000 and decreases by 2% each year, What will the population be after 15 years?

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  1. 25 March, 00:29
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    Correct answer: N₁₅ = 33,236

    Step-by-step explanation:

    Given:

    N = 45,000

    decrease 2% each year

    N₁₅ = ? Population after 15 years

    Now N = 45,000

    After first year N₁ = 45,000 · 0.98

    After second year N₂ = N₁ · 0.98 = (45,000 · 0.98) · 0.98 = 45,000 · 0.98²

    After third year N₃ = N₂ · 0.98 = 45,000 · 0.98² · 0.98 = 45,000 · 0.98³

    ...

    After 15 years N₁₅ = 45,000 · 0.98¹⁵ = 45,000 · 0.739 = 33,235.6

    N₁₅ = 33,236

    God is with you!
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