Question

At the end of 2010, a gaming website had 100,000 users. The number of users grew at a rate of 40% per year until the end of 2015. How many more users joined the website between the end of 2013 and the end of 2015?

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Answer 1

Answer: approximately 187,496 more users joined the website between the end of 2013 and the end of 2015.

Step-by-step explanation:Between the end of 2013 and the end of 2015, we need to calculate the number of additional users who joined the website.

To do this, let's first determine the number of years between the two time periods. The end of 2013 is 3 years before the end of 2015.

Next, we need to find the growth rate for each of these 3 years. The growth rate is given as 40% per year.

To calculate the total growth over the 3-year period, we can use the formula for compound interest:

Final Amount = Initial Amount * (1 + Growth Rate)^Number of Years

In this case, the initial amount is 100,000 users and the growth rate is 40% per year. Plugging these values into the formula, we get:

Final Amount = 100,000 * (1 + 0.40)^3

Calculating this, we find that the final amount at the end of 2015 is approximately 287,496 users.

To find the number of additional users who joined between the end of 2013 and the end of 2015, we subtract the number of users at the end of 2013 from the final amount at the end of 2015:

Number of additional users = Final Amount at the end of 2015 - Number of users at the end of 2013

Number of additional users = 287,496 - 100,000

Therefore, approximately 187,496 more users joined the website between the end of 2013 and the end of 2015.

Answer 2

Answer: 263,424 users

Explanation:

2010 - 100,000 users

2011 - 140,000 users --> 100,000 + 100,000(0.4)

2012 - 196,000 users --> 140,000 + 140,000(0.4)

2013 - 274,400 users --> 196,000 + 196,000(0.4)

2014 - 384,160 users --> 274,400 + 274,400(0.4)

2015 - 537,824 users --> 384,160 + 384,160(0.4)

537,824 - 274,400 = 263,424 users joined from 2013 to 2015

An easier method would be:

2013 - 100,000 × (1.4) ^ 3 = 274,400

2015 - 100,000 × (1.4) ^ 5 = 537,824

537,824 - 274,400 = 263,424 users

We get the 1.4 from (1 + 0.4). The 3 and 5 represent the years after 2010.