Solution:
Given:
[tex]\begin{gathered} P=\text{ \$}5000 \\ t=6yrs \\ r=5\text{ \%} \end{gathered}[/tex]Using the compound interest formula;
[tex]A=P(1+r)^t[/tex]Hence,
[tex]\begin{gathered} A=5000(1+\frac{5}{100})^6 \\ A=5000(1.05)^6 \\ A=\text{ \$}6700.48 \end{gathered}[/tex]Therefore, the amount she will receive at the end of six years is $6700.48
