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What annual growth rate is needed for a country to double its output in 7 years? In 35 years? In 70 years? In 140 years?

Short Answer

Expert verified
  • The country will require 10 percent of growth to double its economy in 7 years.
  • The country will require 2 percent of growth to double its economy in 35 years.
  • The country will require 1 percent of growth to double its economy in 70 years.
  • The country will require 0.5 percent of growth to double its economy in 140 years.

Step by step solution

01

Step 1. Defining the concept “rule of 70”.

Economists use the concept 鈥渞ule of 70鈥 to evaluate the approximate number of years an economy will take to double its size. The mathematical expression under the rule of 70 is given below:

ApproximatenumberofyearsrequiredtodoubletherealGDP=70Annualpercentagerateofgrowth

02

Step 2. Calculating annual growth rates

The required annual growth rate for a country to double its output can be calculated by using the 鈥渞ule of 70鈥 formula.

  • The required annual percentage growth for a country to double its output in 7 years is:

Annualpercentagerateofgrowth=707=10percent

The required annual growth rate is 10 percent.

  • The required annual percentage growth for a country to double its output in 7 years is:

Annualpercentagerateofgrowth=7035=2percent

The required annual growth rate is 2 percent.

  • The required annual percentage growth for a country to double its output in 7 years is:

Annualpercentagerateofgrowth=7070=1percent

The required annual growth rate is 1 percent

  • The required annual percentage growth for a country to double its output in 7 years is:

Annualpercetangerateofgrowth=70140=0.5percent

The required annual growth rate is 0.5 percent.

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Most popular questions from this chapter

Identify the following arguments about economic growth as either anti-growth or pro-growth.

a. Growth means worker burnout and frantic schedules.

b. Rising incomes allow people to buy more education, medical care, and recreation.

c. Earth has only finite amounts of natural resources.

d. Even the richest countries still have poverty, homelessness, and discrimination.

e. Richer countries spend more money protecting the environment.

f. Natural resource prices have fallen rather than increased over time.

Refer to Figure 8.2 and assume that the values for points a, b, and c are \(10 billion, \)20 billion, and $18 billion, respectively. If the economy moves from point a to point b over a 10-year period, what must have been its annual rate of economic growth? If, instead, the economy was at point c at the end of the 10-year period, by what percentage did it fall short of its production capacity?

Suppose that just by doubling the amount of output that it produces each year, a firm鈥檚 per-unit production costs fall by 30 percent. This result is an example of:

a. economies of scale.

b. improved resource allocation.

c. technological advance.

d. the demand factor.

What, if any, are the benefits and costs of economic growth, particularly as measured by real GDP per capita?

Identify each of the following situations as something that either promotes growth or retards growth.

a. Increasing corruption allows government officials to steal people鈥檚 homes.

b. A nation introduces patent laws for the first time.

c. A court order shuts down all banks permanently.

d. A poor country extends free public schooling from 8 years to 12 years.

e. A nation adopts a free-trade policy.

f. A formerly communist country adopts free markets.

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