1. **State the problem:** Calculate the value of $A$ given by the formula $A = 8000 e^{0.06 \times 8}$. 2. **Formula and explanation:** This is an exponential growth formula where $A$ is the amount after time, $8000$ is the initial amount, $e$ is the base of natural logarithms, $0.06$ is the growth rate, and $8$ is the time period. 3. **Calculate the exponent:** Multiply the growth rate by the time: $$0.06 \times 8 = 0.48$$ 4. **Rewrite the expression:** $$A = 8000 e^{0.48}$$ 5. **Evaluate $e^{0.48}$:** Using a calculator or approximation, $$e^{0.48} \approx 1.616$$ 6. **Calculate $A$:** $$A = 8000 \times 1.616 = 12928$$ 7. **Final answer:** $$\boxed{12928}$$