A group of 50 cobras in a predator free environment will grow anually by 12%. In how many years will the number of cobras be more than 100?

Question

A group of 50 cobras in a predator free environment will grow annually by 12%.  In how many years will the number of cobras be more than 100?

Answer 1

100 < 50(1.12)^t

2 < (1.12)^t

ln 2 < t ln (1.12)

0.6931 < t(0.1133)

6.117 < t