Chapter 2, Problem 2P

A quantity has a doubling time of 110 years. Estimate the annual percent increase in the quantity.

To determine

Calculate the annual increase in percentage of the quantity.

Answer to Problem 2P

The annual increase in percentage of the quantity is $\underset{\_}{0.63\%\text{per year}}$.

Explanation of Solution

Given information:

The doubling time $\left(t_D\right)$ is 110 years.

Calculation:

Calculate the annual increase in percentage $\left(R\right)$ of the quantity as shown below.

$\begin{array}{c}R=100\frac{\ln \left(2\right)}{t_D}\\ =100\frac{\ln \left(2\right)}{110}\\ =0.63\%\text{per year}\end{array}$

Therefore, the annual increase in percentage of the quantity is $\underset{\_}{0.63\%\text{per year}}$.