ENGR.ECONOMIC ANALYSIS
ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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### 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:
\[ \text{Doubling Time} = \frac{70}{5\%} = \frac{70}{5} = 14 \text{ years} \]
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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: \[ \text{Doubling Time} = \frac{70}{5\%} = \frac{70}{5} = 14 \text{ years} \]
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