Question

A certain quantity grows exponentially over time. The initial quantity at t = 0 is 2,000. The quantity grows by a factor of 20%. What is the quantity at t = 8?

Answer 1

When t=0 then the output is 2000.

function is 

g(t)=2000t

8*2000=16000

Answer 2

let the initial quantity be V0=2000
time t=8
r% = 20%
then let the quantity after t=8 be V
then
V=V0(1+r/100)⁸
⇒V=2000×4.2998169599999985
⇒V=8599.633919999997                               Ans.