Question

美国大一数学题

放题

各路大神帮帮忙，还有四个小时就交作业了，但是实在无能为力了。

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Answer 1

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

Answer 2

如果翻译成中文就非常简单了 你这道题难就难在全是英文

Answer 3

题目看起来很简单，就是英文没有看懂，呵呵！