A bank features a savings account that has an annual percentage rate of \( 3.4 \% \) with interest compounded semi-annually. Claire deposits \( \$ 6,000 \) into the account. What is the annual percentage yield (APY) for the savings account? APY \( = \) (Round to the nearest hundredth of a percent.)

Let the nominal annual interest rate be \( r = 0.034 \). Since the interest is compounded semi-annually, the interest rate per period is \[ \frac{r}{2} = \frac{0.034}{2} = 0.017. \] The effective annual yield is given by the formula \[ \text{APY} = \left(1 + \frac{r}{2}\right)^2 - 1. \] Substitute the value of \( r \): \[ \text{APY} = \left(1 + 0.017\right)^2 - 1 = (1.017)^2 - 1. \] Calculating \( (1.017)^2 \): \[ (1.017)^2 \approx 1.034289. \] Thus, \[ \text{APY} \approx 1.034289 - 1 = 0.034289. \] To convert this to a percentage, multiply by \( 100 \): \[ \text{APY} \approx 0.034289 \times 100 \approx 3.43\%. \] So, the annual percentage yield (APY) is \( \boxed{3.43\%} \).