Find \( A \) in the equation below \[ A=5000\left(1+\frac{0.123}{2}\right)^{6} \]

To find \( A \), we first compute the value inside the parentheses: \[ 1 + \frac{0.123}{2} = 1 + 0.0615 = 1.0615 \] Now, we need to raise this result to the power of \( 6 \): \[ (1.0615)^6 \] Calculating \( (1.0615)^6 \) gives approximately: \[ (1.0615)^6 \approx 1.42576 \] Now, we can multiply this result by \( 5000 \): \[ A = 5000 \times 1.42576 \approx 7128.80 \] Thus, \[ A \approx 7128.80 \]