Respuesta :
The population at the end of the 5th year with a decline of 3% each year will be 2147.
What is the percentage?
The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
As per the given,
The bird population is declining at a rate of 3% a year.
Suppose the initial population = P
After the end of 1st year = 3% less than P = P - 0.03P = 0.97P
After the end of 2nd year = 3% less than after the end of 1st year
⇒ 0.97P - 0.03 x 0.97P = 0.9409P
After the end of 3rd year = 3% less than after the end of 2nd year
⇒ 0.9409P - 0.03 x 0.9409P = 0.912673P
After the end of 4th year = 3% less than after the end of 3rd year
⇒ 0.912673P - 0.03 x 0.912673P = 0.88529281P
After the end of the 5th year = 3% less than after the end of 4th year
⇒ 0.88529281P - 0.03 x 0.88529281P = 0.858734025P
Since, P = 2500
⇒ 0.858734025 x 2500 = 2146.83 = 2147
Hence "With a 3% annual population reduction, there will be 2147 people in the world at the end of the fifth year.".
For more about the percentage,
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