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Simplifying 3565 = P(1 + 0.05 * 3) Multiply 0.05 * 3 3565 = P(1 + 0.15) Combine like terms: 1 + 0.15 = 1.15 3565 = P(1.15) Reorder the terms for easier multiplication: 3565 = 1.15P Solving 3565 = 1.15P Solving for variable 'P'. Move all terms containing P to the left, all other terms to the right. Add '-1.15P' to each side of the equation. 3565 + -1.15P = 1.15P + -1.15P Combine like terms: 1.15P + -1.15P = 0.00 3565 + -1.15P = 0.00 Add '-3565' to each side of the equation. 3565 + -3565 + -1.15P = 0.00 + -3565 Combine like terms: 3565 + -3565 = 0 0 + -1.15P = 0.00 + -3565 -1.15P = 0.00 + -3565 Combine like terms: 0.00 + -3565 = -3565 -1.15P = -3565 Divide each side by '-1.15'. P = 3100 Simplifying P = 3100
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