Question 1075884
Year 0:24
Year 1: 24+12=36
Year 2: 36+18=54
Year 3: 54+27=81
Year 4: 81+40.5=121.5
Year 5: 121.5+60.75=182.25
If her collection is growing by 50% a year, then
1384=24 x (1+.5)^t.....where t is years. So:
1384/24=1.5^t
ln 57.6667=ln 1.5^t
ln 57.6667=t ln 1.5
t=ln 57.6667/ln 1.5=10 
In approximately 10 years she will have 1384 plush puppies. ☺☺☺☺