Given that:
Principal = $5,690
Rate = 5.7% = 0.057
Number of years = 3 years = 36 months
[tex]\text{Interest = principal x \%rate x time}[/tex][tex]\begin{gathered} \text{Interest}=5,690\times0.057\times36 \\ =\text{ \$11,675.88} \end{gathered}[/tex]Therefore, the money in the account at the end of 3 years would be:
[tex]\begin{gathered} \text{Amount = Principal + Interest at the end of 3 years} \\ \text{Amount }=\text{ \$5,690+ \$11,675.88} \\ =\text{ \$17,365.88} \end{gathered}[/tex]