Question

On the first day of a song's release, it had 20 million streams. If the number of streams increases by 10% per day, how many streams will there be on the seventh day? round to the nearest million.

Answer 1

To calculate the number of streams on the seventh day with a daily increase of 10%, we use the formula for exponential growth and apply it to the initial count of 20 million streams, over 6 periods (days). The growth rate is 0.10, and after calculation, the result is rounded to the nearest million.

Step-by-step explanation:

The student is asking about an exponential growth problem where a song's streams are increasing by 10% each day. Starting with 20 million streams on the first day, to find the number of streams on the seventh day, we use the formula for exponential growth, which is Final Amount = Initial Amount * (1 + Growth Rate)^Number of Periods. In this case, the growth rate is 10% per day, or 0.10, and the number of periods is 6 days (since we're looking for the count on the seventh day, starting from day one).

The calculation would therefore be:

• Initial Amount = 20 million
• Growth Rate = 10% or 0.10
• Number of Periods = 6
• Final Amount = 20 million * (1 + 0.10)^6

After performing the calculation, the result is then rounded to the nearest million to provide the answer.