In general, the continuous compounding interest formula is
[tex]\begin{gathered} P(t)=Pe^{rt} \\ P\rightarrow\text{ initial amount} \\ t\rightarrow\text{ time} \\ r\rightarrow\text{ interest rate} \end{gathered}[/tex]Therefore, in our case,
[tex]P(t)=2000e^{0.031t}[/tex]Set t=9 as shown below
[tex]\Rightarrow P(9)=2000e^{0.279}\approx2643.615...[/tex]