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Simplifying 1.000 = 500(1 + i) * 12 Reorder the terms for easier multiplication: 1.000 = 500 * 12(1 + i) Multiply 500 * 12 1.000 = 6000(1 + i) 1.000 = (1 * 6000 + i * 6000) 1.000 = (6000 + 6000i) Solving 1.000 = 6000 + 6000i Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-6000i' to each side of the equation. 1.000 + -6000i = 6000 + 6000i + -6000i Combine like terms: 6000i + -6000i = 0 1.000 + -6000i = 6000 + 0 1.000 + -6000i = 6000 Add '-1.000' to each side of the equation. 1.000 + -1.000 + -6000i = 6000 + -1.000 Combine like terms: 1.000 + -1.000 = 0.000 0.000 + -6000i = 6000 + -1.000 -6000i = 6000 + -1.000 Combine like terms: 6000 + -1.000 = 5999 -6000i = 5999 Divide each side by '-6000'. i = -0.9998333333 Simplifying i = -0.9998333333
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