We determine that value replacing in the following function:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]We replace as follows:
[tex]800=P(1+\frac{0.06}{12})^{(12)(8)}[/tex]Now, we solve for p, that is:
[tex]\Rightarrow P=\frac{800}{(1+\frac{0.06}{12})^{(12)(8)}}\Rightarrow P\approx495.62[/tex]So, Celine earned approximately the following:
[tex]E=800-495.62\Rightarrow E\approx304.38[/tex]She earned approximately $304.38.