To solve this problem, you can use the following formula for simple interest:
[tex]A=Prt,[/tex]where P is the initial amount, r is the rate of interest in decimal form, and t is the time in years.
Substituting A=1920, r=0.08, t=6, and solving for P, you get:
[tex]\begin{gathered} 1920=P(0.08)(6), \\ P=\frac{1920}{0.08(6)}. \end{gathered}[/tex]Simplifying, you get:
[tex]P=4000.[/tex]