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Instructions:Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). The native bird population in a city is decreasing at a rate of 10% per year due to industrialization of the area by humans. The population of native birds was 14,000 before the decrease began. Complete the recursively-defined function to describe this situation. f(1) = f(n) = f(n - 1) · , for n ≥ 2 After 3 years, birds will remain.

Respuesta :

nobillionaireNobley
Given that the native bird population in a city is decreasing at a rate of 10% per year due to industrialization of the area by humans. The population of native birds was 14,000 before the decrease began.

Thus f(1) = 14,000 and

f(n) = (1 - 0.1)f(n - 1) = 0.9f(n - 1)

Thus,

f(2) = 0.9f(1) = 0.9(14,000) = 12,600
f(3) = 0.9f(2) = 0.9(12,600) = 11,340

Therefore, After 3 years, 11,340 birds will remaiin.

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