National Park Service personnel are trying to increase the size of the bison population of the national park. If 287 bison currently live in the​ park, and if the​ population's rate of growth is 3 % ​annually, find how many bison there should be in 11 years.

Question

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Part 1
There should be approximately
  
enter your response here bison in 11 years. ​(Round to the nearest whole number as​ needed.)

Answer 1

To find the number of bison there should be in 11 years, we can use the formula for compound interest:

A = P(1 + r/n)^(nt)

where A is the final amount (number of bison), P is the initial amount (287 bison), r is the annual interest rate (3% or 0.03), n is the number of times the interest is compounded per year (assuming it's annually, so n = 1), and t is the number of years (11).

Plugging in the values, we get:

A = 287(1 + 0.03/1)^(1*11)
A = 287(1 + 0.03)^11
A ≈ 287(1.03)^11
A ≈ 287(1.43046721)
A ≈ 410.74

Rounding to the nearest whole number, there should be approximately 411 bison in 11 years.