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10 June, 14:05

A population of 1,750 cheetahs decreases by 11% per year. How many cheetahs will there be in the population after 10 years? Round your answer to the nearest whole number.

A. 4969

B. 486

C. 546

D. 1640

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  1. 10 June, 14:21
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    The answer is C. 546.

    If a population decreases by 11%, that means that 89% (100% - 11% = 89%) of cheetahs remains each number. 89% can be expressed as 0.89, so to calculate the change of the population, we must each year multiply the number of cheetahs by 0.89.

    After 1 year: 1750 * 0.89 ≈ 1558

    After 2 years: 1558 * 0.89 ≈ 1387

    After 3 years: 1387 * 0.89 ≈ 1234

    After 4 years: 1234 * 0.89 ≈ 1098

    After 5 years: 1098 * 0.89 ≈ 977

    After 6 years: 977 * 0.89 ≈ 870

    After 7 years: 870 * 0.89 ≈ 774

    After 8 years: 774 * 0.89 ≈ 689

    After 9 years: 689 * 0.89 ≈ 613

    After 10 years: 613 * 0.89 ≈ 546
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