If gdp is $20 trillon, how many years will it take for gdp to increase to $40 trillion if annual growth is 10 percent?

Respuesta :

It will take 7 years.

Given GDP is $20 trillion and increased GDP is $40 trillion.

Gross domestic product (GDP) is the standard measure of  value added generated by the country's production of goods and services over a certain time period. GDP is the total monetary or market worth of all completed products and services produced within a country's boundaries in a certain time period.

As such, it also accounts for the money generated by such output, as well as the overall amount spent on final products and services (less imports).

Time take to reach $40 trillion is to be found.

Formula to find the time taken to reach $40 trillion  is given below:

F = P *(1+i) ^t

Here,

F = 40,

P = 20,

I = 10%

Now put the values in the formula given above.

F = 0.1040 = 20 × (1+0.10) ^t(1.10)^t

  = 40 / 20

  = 2

Taking log both sides t = log 2 / log 1.10  

                                    = 7.27 yrs or 7 yrs

Therefore, it will take 7 years.

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