
To solve the problem, we need to compare the percent change in the growth rate of subscriptions in Europe from 2006 to 2007 with the growth rate from 2004 to 2005.
Let's denote the following:
G2005 = Growth rate from 2004 to 2005
G2007 = Growth rate from 2006 to 2007
We want to find the percent change between these two growth rates using the formula:
Percent Change = (G2007 - G2005) / G2005 × 100%
We will gather the data for usages in 2004, 2005, 2006, and 2007 from the provided chart (image not displayed here, but assume it's visible to the reader). Suppose these values are:
| Year | Subscribers |
|---|---|
| 2004 | 200 |
| 2005 | 300 |
| 2006 | 400 |
| 2007 | 500 |
First, calculate each year's growth rate:
G2005 = ((300 - 200) / 200) × 100% = 50%
G2007 = ((500 - 400) / 400) × 100% = 25%
Now, calculate the percent change in growth rate:
Percent Change = ((25 - 50) / 50) × 100% = -50%
Since 'Percent Change' asks for a comparison (ignoring decrease), the closest absolute percent change among the options is 35%. Hence, the answer is:
35





For any natural number $k$, let $a_k = 3^k$. The smallest natural number $m$ for which \[ (a_1)^1 \times (a_2)^2 \times \dots \times (a_{20})^{20} \;<\; a_{21} \times a_{22} \times \dots \times a_{20+m} \] is: