Question

The number of people that belong to a certain social website is 412 and growing at a rate of 5% every month. How many members will there be in 9 months? Enter your answer in the box. Round to the nearest whole number.

Answer 1

To estimate the number of members on a social website after 9 months with a 5% monthly growth rate, use the formula for exponential growth. After calculations, there will be approximately 639 members after 9 months.

Step-by-step explanation:

The question is related to exponential growth, which is a topic in mathematics. To calculate the number of members on a social website after 9 months given a monthly growth rate of 5%, you can use the formula for exponential growth:

Future Value = Present Value * (1 + growth rate)^number of periods

In this case, the Present Value is 412 members, the growth rate is 5%, or 0.05 when expressed as a decimal, and the number of periods is 9 months. Plugging these values into the formula gives:

Future Value = 412 * (1 + 0.05)^9

Calculating this gives:

Future Value ≈ 412 * (1.05)^9 ≈ 412 * 1.55132822 ≈ 639.25

After rounding to the nearest whole number, there will be approximately 639 members on the social website after 9 months.

Answer 2

Answer:639

Step-by-step explanation:

The equation for exponential growth is: initial amount( 1 + rate in decimal form)^time

So we put in our numbers and it is: 412( 1 + 0.5) ^ 9 = 639 (rounded)

I know this is late but I hope I helped anyone who's looking for an explanation now!