If you purchase a $100 Series EE savings bond and hold it for 30 years at a fixed annual interest rate of 3%, compounded semiannually, how much will the bond be worth at maturity? (Assume no early redemption and no tax considerations.)

Understand the formula for compound interest: \( A = P \times (1 + \frac{r}{n})^{n \times t} \), where \( A \) is the future value, \( P \) is the principal amount, \( r \) is the annual interest rate, \( n \) is the number of compounding periods per year, and \( t \) is the time in years.