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? (round to the nearest whole number)

Any and all help is appreciated!

Respuesta :

About 596 by 9 months 
412x0.05=20.6
20.6x9=185.4
185.4+412=597.4
round and its 597 members by 9 months 

Answer: 639


Step-by-step explanation:

Given: The number of people that belong to a certain social website=412

Since they are increasing at the rate of 5% every month .

The number of members of after x months is given by exponential growth function, i.e. [tex]y=A(1+r)^x[/tex], where A is the initial amount , r is the growth rate

From question, A=412

r=5%=0.05

x=9 months

Therefore, [tex]y=412(1+0.05)^9=412(1.05)^9=412\times1.551=639.1356\approx639[/tex]

hence, there will be 639 members agter 9 months.