[tex]A=P(1+ \frac{r}{n})^{nt} [/tex] A=future amount P=present amount r=rate in decimal form n=number of times per year to be compounded t=time in years
so P=200 r=0.06 n=1 t=6
evaluate to find A [tex]A=200(1+ \frac{0.06}{1})^{(1)(6)} [/tex] [tex]A=200P(1.06)^{6} [/tex] A=283.704 round A=$283.70
