Find \( A \) in the equation below \[ A=13000\left(1+\frac{0.043}{2}\right)^{12} \]
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To solve for \( A \), we can start by simplifying the equation step by step. First, let's calculate \( \frac{0.043}{2} \): \[ \frac{0.043}{2} = 0.0215 \] Next, we substitute this back into the equation: \[ A = 13000\left(1 + 0.0215\right)^{12} \] \[ A = 13000\left(1.0215\right)^{12} \] Now we need to compute \( (1.0215)^{12} \): \[ (1.0215)^{12} \approx 1.268241 \] Now we multiply by 13000: \[ A \approx 13000 \times 1.268241 \approx 16485.13 \] Thus, the value of \( A \) is approximately \( 16485.13 \).