Hello!
The formula to calculate the future value is:
[tex]A=P\cdot(1+\frac{r}{100}\cdot t)[/tex]As we know the values, let's replace them:
[tex]\begin{gathered} A=2,000\cdot(1+0.1225\cdot0.25) \\ A=2,000\cdot(1+0.030625) \\ A=2,0000\cdot1.030625 \\ A=61.25 \end{gathered}[/tex][tex]\begin{gathered} FV=i\cdot(1+(r\cdot t)) \\ FV=62.25\cdot(1+(0.1225\cdot0.25)) \\ FV=62.25\cdot(1+0.030625) \\ FV=62.25\cdot1.030625 \\ FV\cong64.156 \end{gathered}[/tex]