Italy is a relatively rich country with per-capita GDP of $28,000. India is a relatively poor with per-capita GDP of only $3,500. However, India is growing rapidly at a growth rate of 5% per year. We want to find how many years it will take for India's per capita GDP to equal Italy's current per-capita GDP of $28,000. How many times must India's per-capita GDP double in order to reach Italy's per-capita GDP?

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
Publisher:NEWNAN
Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
icon
Related questions
Question
### The Wealth of Nations and Economic Growth: Work It Out 1 of 1

Italy is a relatively rich country with a per-capita GDP of $28,000. India is a relatively poor country with a per-capita GDP of only $3,500. However, India is growing rapidly at a growth rate of 5% per year. We want to find out how many years it will take for India's per capita GDP to equal Italy's current per-capita GDP of $28,000.

**How many times must India's per-capita GDP double in order to reach Italy's per-capita GDP?**

India's per-capita GDP must double _____ times.

**Use the rule of 70 to find how many years it will take for India's per-capita GDP to double once at a 5% growth rate.**

Doubling time: _____ years

**How many years will it take for India to reach Italy's current level of GDP per capita?**

It will take _____ years for India to reach Italy's current level of GDP per capita.

---

### Explanation of Terms:

**Rule of 70:**  
The Rule of 70 is a way to estimate how long it will take for a quantity to double, given a specific annual growth rate. Simply divide 70 by the annual growth rate to get the doubling time in years.

For example, if the annual growth rate is 5%, the doubling time would be:
\[ \text{Doubling Time} = \frac{70}{5\%} = \frac{70}{5} = 14 \text{ years} \]
Transcribed Image Text:### The Wealth of Nations and Economic Growth: Work It Out 1 of 1 Italy is a relatively rich country with a per-capita GDP of $28,000. India is a relatively poor country with a per-capita GDP of only $3,500. However, India is growing rapidly at a growth rate of 5% per year. We want to find out how many years it will take for India's per capita GDP to equal Italy's current per-capita GDP of $28,000. **How many times must India's per-capita GDP double in order to reach Italy's per-capita GDP?** India's per-capita GDP must double _____ times. **Use the rule of 70 to find how many years it will take for India's per-capita GDP to double once at a 5% growth rate.** Doubling time: _____ years **How many years will it take for India to reach Italy's current level of GDP per capita?** It will take _____ years for India to reach Italy's current level of GDP per capita. --- ### Explanation of Terms: **Rule of 70:** The Rule of 70 is a way to estimate how long it will take for a quantity to double, given a specific annual growth rate. Simply divide 70 by the annual growth rate to get the doubling time in years. For example, if the annual growth rate is 5%, the doubling time would be: \[ \text{Doubling Time} = \frac{70}{5\%} = \frac{70}{5} = 14 \text{ years} \]
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Productivity
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, economics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
Economics
ISBN:
9780190931919
Author:
NEWNAN
Publisher:
Oxford University Press
Principles of Economics (12th Edition)
Principles of Economics (12th Edition)
Economics
ISBN:
9780134078779
Author:
Karl E. Case, Ray C. Fair, Sharon E. Oster
Publisher:
PEARSON
Engineering Economy (17th Edition)
Engineering Economy (17th Edition)
Economics
ISBN:
9780134870069
Author:
William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher:
PEARSON
Principles of Economics (MindTap Course List)
Principles of Economics (MindTap Course List)
Economics
ISBN:
9781305585126
Author:
N. Gregory Mankiw
Publisher:
Cengage Learning
Managerial Economics: A Problem Solving Approach
Managerial Economics: A Problem Solving Approach
Economics
ISBN:
9781337106665
Author:
Luke M. Froeb, Brian T. McCann, Michael R. Ward, Mike Shor
Publisher:
Cengage Learning
Managerial Economics & Business Strategy (Mcgraw-…
Managerial Economics & Business Strategy (Mcgraw-…
Economics
ISBN:
9781259290619
Author:
Michael Baye, Jeff Prince
Publisher:
McGraw-Hill Education