Problem 32 Use the Rule of 72 to estimate h... [FREE SOLUTION]

Chapter 19: Problem 32

Use the Rule of 72 to estimate how long it will take for India, Spain, and South Africa to double their standards of living.

Short Answer

Expert verified

Using the Rule of 72 and the given annual growth rates (India: 6%, Spain: 2%, South Africa: 4%), we can estimate the following doubling times for standards of living in these countries: 1. India: approximately 12 years. 2. Spain: approximately 36 years. 3. South Africa: approximately 18 years. However, remember that the Rule of 72 is an approximation and other factors may impact the actual doubling time.

Step by step solution

Apply the Rule of 72

To apply the Rule of 72, we will divide 72 by each country's annual growth rate. 1. India: \(72 \div 6\% = 72 \div 6\) 2. Spain: \(72 \div 2\% = 72 \div 2\) 3. South Africa: \(72 \div 4\% = 72 \div 4\)

Calculate the doubling time

Now, we will calculate the doubling time for each country. 1. India: \(72 \div 6 = 12\) years 2. Spain: \(72 \div 2 = 36\) years 3. South Africa: \(72 \div 4 = 18\) years

Interpret the results

Based on the Rule of 72, we can estimate the following doubling times for standards of living in these countries: 1. India will double its standard of living in approximately 12 years. 2. Spain will double its standard of living in approximately 36 years. 3. South Africa will double its standard of living in approximately 18 years. Keep in mind that the Rule of 72 is an approximation and should not be considered as entirely accurate. Other factors, such as economic policies, global events, and unforeseen disruptions, can also impact the standard of living in each country.