From 2000 to 2010, the number of downloads of a song declined to 18,000. The number of downloads will continue to decline at a rate of 4.1% each year.

Question

How many downloads will there be of the song in the year 2030?

Answer 1

To solve this problem, we need to use exponential decay formula:

A = A0*(1-r)^t

where:

A0 = initial amount (downloads in 2010) = 18,000
r = rate of decay = 4.1% or 0.041
t = number of years from 2010 to 2030 = 20

Plugging in the values, we get:

A = 18,000*(1-0.041)^20
A = 8,800

Therefore, there will be approximately 8,800 downloads of the song in the year 2030.