Answer:
[tex]\$ 268[/tex]
Step-by-step explanation:
Compound Interest: If P is initial amount, A is final amount, r is interest rate and n is number of years.
[tex]A=P(1+\frac{r}{100})^n[/tex]
[tex]Here\ P=\$ 200,\ r=5\%\ and\ n=6\ years\\\\We\ have\ to\ find\ out\ A\\\\A=200(1+\frac{5}{100})^6\\\\A=200(1+0.05)^6\\\\A=200(1.05)^6\\\\A=200\times 1.340095641\\\\A=268.02\\\\A\approx \$ 268[/tex]