Find \( A \) in the equation below \[ A=500\left(1+\frac{0.21}{12}\right)^{12} \]

Calculate or simplify the expression \( 500*(1+0.21/12)^{12} \). Calculate the value by following steps: - step0: Calculate: \(500\left(1+\frac{0.21}{12}\right)^{12}\) - step1: Divide the terms: \(500\left(1+\frac{7}{400}\right)^{12}\) - step2: Add the numbers: \(500\left(\frac{407}{400}\right)^{12}\) - step3: Simplify: \(500\times \frac{407^{12}}{400^{12}}\) - step4: Rewrite the expression: \(100\times 5\times \frac{407^{12}}{400^{12}}\) - step5: Rewrite the expression: \(100\times 5\times \frac{407^{12}}{100^{12}\times 4^{12}}\) - step6: Reduce the numbers: \(5\times \frac{407^{12}}{100^{11}\times 4^{12}}\) - step7: Rewrite the expression: \(5\times \frac{407^{12}}{25^{11}\times 4^{11}\times 4^{12}}\) - step8: Rewrite the expression: \(5\times \frac{407^{12}}{5^{22}\times 4^{11}\times 4^{12}}\) - step9: Reduce the numbers: \(1\times \frac{407^{12}}{5^{21}\times 4^{11}\times 4^{12}}\) - step10: Multiply the fractions: \(\frac{407^{12}}{5^{21}\times 4^{23}}\) The value of \( A \) in the equation \( A=500\left(1+\frac{0.21}{12}\right)^{12} \) is approximately 615.719657.