Question

On the first day of a song's release, it had 15 million streams. If the number of streams increases by 20% per day, how many streams will there be on the seventh day? Round to the nearest million.

A. 22 million
B. 32 million
C. 45 million
D. 48 million

Answer 1

The number of streams on the seventh day will be approximately 45 million.

Step-by-step explanation:

To find the number of streams on the seventh day, we need to calculate 20% of the number of streams from the previous day and add it to the previous day's total.

Day 1: 15 million streams

Day 2: 15 million + 20% of 15 million = 15 million + (0.2 * 15 million) = 18 million

Day 3: 18 million + 20% of 18 million = 18 million + (0.2 * 18 million) = 21.6 million

Continuing this pattern, we find the number of streams on the seventh day to be approximately 45 million streams.

Answer 2

The number of streams on the seventh day, with a 20% increase each day, is approximately 45 million.

Step-by-step explanation:

To find the number of streams on the seventh day, we need to calculate the 20% increase for six consecutive days and then add it to the initial number of streams.

20% of 15 million is 3 million (0.2 x 15 million = 3 million).

So, the number of streams on the second day will be 15 million + 3 million = 18 million.

We repeat this process for the next five days:

• Day 3: 18 million + 3.6 million (0.2 x 18 million) = 21.6 million
• Day 4: 21.6 million + 4.32 million (0.2 x 21.6 million) = 25.92 million
• Day 5: 25.92 million + 5.18 million (0.2 x 25.92 million) = 31.1 million
• Day 6: 31.1 million + 6.22 million (0.2 x 31.1 million) = 37.32 million
• Day 7: 37.32 million + 7.46 million (0.2 x 37.32 million) = 44.78 million

Rounding this number to the nearest million gives us approximately 45 million streams on the seventh day. Therefore, the correct answer is option C.