The continuous interest formula is given by:
[tex]A=Pe^{rt}[/tex]where P is the principal, r is the interest rate and t is the time. In this case P=800, r=0.07 and t=10; then we have:
[tex]\begin{gathered} A=800e^{0.07(10)} \\ A=1611 \end{gathered}[/tex]Therefore, the final amount is $1611.00