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The information below shows the cost for a year of college in public and private colleges...

The information below shows the cost for a year of college in public and private colleges in 2003-04 and 2014-15. What is the geometric mean annual increase for the period for the two types of colleges? (Round your answers to 2 decimal places.)

Type of College 2003-04 2014-15
Public $ 3,120 $ 7,630
Private 5,536 13,800

The geometric mean annual increase for public colleges %.

The geometric mean annual increase for private colleges %.

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Answer #1

There are 11 years between the two periods

Just take the 11th root of the ratio, and subtract 1.

What is the geometric mean annual increase for public colleges?
=(7630 / 3120)^(1/11)-1

=8.47%

The geometric mean annual increase for private colleges %.

=(13800 / 5536)^(1/11)-1

=8.66%

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