The animal Eraticus is endangered

MATHEMATICS · Multi-part · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

The animal *Eraticus* is endangered. Since 2005 there has only been one colony remaining, and in 2005 the population of that colony was 555. The population has been steadily decreasing by 4.5% per year. (1) Estimate the population in the year 2020. (2) In what year do we expect the population to have declined to 50?

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