The compound interest formula is given by
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]Where A represents the amount accumulated, P represents the initial amount, r is the interest rate, n is the number of times the interest is compounded per unit t(in our case, a year), and t represents the time.
From the text, we have the following values:
[tex]\begin{gathered} P=4000 \\ r=0.026 \\ n=12 \\ t=4 \end{gathered}[/tex]Just plugging those values in our formula, we have
[tex]\begin{gathered} A=4000(1+\frac{0.026}{12})^{12\times4} \\ A=4000(1+\frac{0.026}{12})^{48}=4437.90252\approx4437.90 \end{gathered}[/tex]The total accumulated after 4 years is $4437.90.