Answer:
1.2 years
Step-by-step explanation:
The value of a certain account after t years is given by :
B = 600 × 1.2t dollars ....(1)
We need to find how long will it take for the value of the account to increase to $900 i.e. we need to find the value of t.
Put B = $900 in equation (1).
[tex]900=600\times 1.2t\\\\t=\dfrac{900}{600\times 1.2}\\\\t=1.2\ \text{years }[/tex]
So, it will take 1.2 years of the account to increase to $900.