[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