An online streaming video site has increased its user base 10% during the last 4 months. The site now has 490,804 active users. How many users did the site have 4 months ago?

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Answer 1 · 2017-04-27T07:25:41

#=446185#

#490804/1.1#

#=446185#

Answer 2 · 2017-04-27T07:36:27

#490804/1.4641 = 335225#

base = initial base*(1 + rate of increase)^4
initial base = 490804/(1+0.1)^4 = 490804/(1.1)^4

Using Pascal triangle
#(1 + .1)^4 = (1 + 4*1(0.1) + 6*1*(0.1)^2 + 4*1(0.1)^3 + (0.1)^4#

#(1+.1)^4 = 1.4641#

so that initial base = #490804/1.4641 = 335225#