On the first day it was posted online, a music video got 600 views. The number of views that the video got each day increased by 20% per day. How many total views did the video get over the course of the first 23 days, to the nearest whole number?

39,748 views.

Step-by-step explanation:

This is a compound interest problem.

A music video got 600 views and the number of views that the video got each day increased by 20% per day.

To find the total number of views the video will get in 23 days, we use the formula:

V = P (1 + R) ^T

Where P = principal (initial number of views) = 600

R = rate of increase = 20% = 0.2

T = Time elapsed = 23 days

Hence:

V = 600 (1 + 0.2) ^ (23)

V = 600 (1.2) ^ (23)

V = 600 * 66.247 = 39,748.2 views

Approximating to whole number, the number of views the video will get after 23 days will be 39,748 views.