The U.S. Federal Aviation Administration reported that passenger revenues on international flights increased from $528 million in 1972 to $5,100 million in 1995.
What is the geometric mean annual percent increase in international passenger revenues?
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A. B. C. D. E.E
There are 24 years involved. The geometric mean is = [(1 + 5100/528)^1/23]-1. In words, it is the 23rd square root of (1 + 5100/528) minus 1. So we have GM = (1
+ 9.66)^(1/23) - 1 = 0.1036 = 10.4%
To calculate the geometric mean annual percent increase in international passenger revenues, we need to determine the annual growth rate over the given time period.
The formula for the geometric mean annual percent increase is:
Growth Rate = [(Ending Value / Beginning Value) ^ (1 / Number of Years)] - 1
In this case: Beginning Value (1972): $528 million Ending Value (1995): $5,100 million Number of Years: 1995 - 1972 = 23 years
Let's plug these values into the formula:
Growth Rate = [($5,100 million / $528 million) ^ (1 / 23)] - 1
Growth Rate = [9.6591] - 1
Growth Rate = 8.6591
To convert the growth rate into a percentage, we multiply it by 100:
Growth Rate = 8.6591 * 100 = 865.91%
Therefore, the geometric mean annual percent increase in international passenger revenues is approximately 865.91%.
However, none of the provided answer choices matches this result (A. None of these answers). It's possible that there may be an error in the answer choices or the question itself. It's always important to double-check the information and calculations when encountering discrepancies like this.