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.

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

Round to the nearest whole number.



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Respuesta :

If the downloads decline by 4.1% each year, then each year, the download factor is (1 -.041) or .959.
So, after 3 years, the number of downloads equals
18,000 * .959^3 =
18,000 * 0.881974079 = 
15,875.53

After 20 years (the year 2030), the downloads would equal

18,000 * .959^20 =
18,000 * 0.4328846075 =
7,791.9229342437 =
7,792 (rounded)


Based on the rate the number of songs being downloaded is decreasing, in 2030, the number of songs downloaded will be 7,792 songs.

The number of songs downloaded in 2010 is 18,000.

To find the number of downloads in 2030, use the formula:

= Songs in 2010 x ( 1 - Rate of decrease) ^ number of years

Number of years = 2030 - 2010 = 20 years

= 18,000 x (1 - 4.1%)²⁰

= 7,791.92

= 7,792 songs

In conclusion, 7,792 songs will be downloaded in 2030.

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