Have I concluded a good formula
The population of animal in a country Park increases in number by 11 percent each year. A survey counted the number of animal in the park at the start of a particular year. If the number of animals counted was K, is the following formula connecting the current number, N, with time t in years since the initial count a correct formula to use?
N = K x 11 x t
Re: Have I concluded a good formula
Quote:
Originally Posted by
David Green
The population of animal in a country Park increases in number by 11 percent each year. A survey counted the number of animal in the park at the start of a particular year. If the number of animals counted was K, is the following formula connecting the current number, N, with time t in years since the initial count a correct formula to use?
N = K x 11 x t
1. Your formula is not correct.
2. In the beginning, that means t = 0, you have K animals.
After one year, t = 1, you have = K + K \cdot \underbrace{0.11}_{11\%} = K(1+0.11))
Next year, t = 2, you have = K(1+0.11) + K (1+0.11)\cdot 0.11 = K(1+0.11)(1+0.11)=K(1+0.11)^2)
After x years, t = x, you have =K (1+0.11)^x)
Re: Have I concluded a good formula
Re: Have I concluded a good formula
Quote:
Originally Posted by
earboth
1. Your formula is not correct.
2. In the beginning, that means t = 0, you have K animals.
After one year, t = 1, you have
Next year, t = 2, you have
After x years, t = x, you have
=K (1+0.11)^x)
Thanks for your help, I read it as; N(x) = K x 1.11^x