数据改一下,就可以了How to calculate the annual and continuous growth rate?
A population grows from 11000 to 16000 in three years.
Assuming the growth is exponential, find the:
(a) The annual growth rate is ? %.
(b) The continuous growth rate is ?%.
Give your answers to three decimal places.
答案：
The annual growth rate will be
16000 = 11000(1 + k)^3
1 + k = (16000/11000)^(1/3) = 1.13303267
k = 0.13303267 which is 13.303267% per year
The continuous growth rate will be
16000 = 11000e^(3k)
3k = ln(16000/11000) = 0.374693449
k = 0.124897816 which is 12.4897816% per year
To three decimal places the rates are 13.303% and 12.490%
1
题目1: A population grows from 11000 to 17000 in three years. Assuming the growth is exponential.
Find the annual growth rate and continuous growth rate?
Round your answers to 3 decimal places.
a) annual growth rate = ?
b) continuous growth rate = ?
Best Answer
a) 11000(1+i)^3 = 17000
(1+i)^3 =1 7/11
i = (17/11)^3-1
i = 0.156
b) 11000e^(3r) = 17000
e^(3r) = 17/11
3r = ln(17/11)
r = ln(17/11)/3
r = 0.145