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In a developing country, the growth rate of capital is 6% per hour of work, and the growth rate of technology is 3%. How many years will it take the developing country's per capita income to double (rounded to the nearest tenth of a year)? It will take the country's per capita income approximately  years to double.

Question

In a developing country, the growth rate of capital is 6% per hour of work, and the growth rate of technology is 3%. How many years will it take the developing country's per capita income to double (rounded to the nearest tenth of a year)? It will take the country's per capita income approximately  years to double.

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Solution

The question seems to be incomplete. However, if we assume that the growth rate of per capita income is the sum of the growth rates of capital and technology, then the growth rate of per capita income would be 6% + 3% = 9% per hour of work.

To find out how long it will take for the per capita income to double, we can use the rule of 70, which is a way to estimate the number of years it takes for a certain variable to double. The rule of 70 states that to find the doubling time of a quantity growing at a given annual percentage rate, divide the percentage number into 70.

So, if the growth rate is 9%, then the doubling time would be 70 / 9 = 7.78 years. Therefore, it will take approximately 7.8 years for the per capita income to double.

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Similar Questions

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