Final answer:
Using the Rule of 72, it will take approximately 42.35 years for the GDP of the Apex Federation to double with an annual growth rate of 1.7%.
Step-by-step explanation:
The Rule of 72 is a simple mathematical formula used to estimate the number of years required to double the value of an investment at a fixed annual rate of interest. By dividing 72 by the annual rate of growth, investors can get a rough estimate of how many years it will take for the initial investment to grow 100%. In the example provided, the GDP of the Apex Federation is growing at a rate of 1.7% per year. Using the Rule of 72:
Doubling time = 72 ÷ annual growth rate
Doubling time = 72 ÷ 1.7
Doubling time ≈ 42.35 years
Thus, it will take approximately 42.35 years for the GDP of the Apex Federation to double at the current growth rate of 1.7% per year.