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Simplifying 500 = c(1 + 0.02 * 8) Multiply 0.02 * 8 500 = c(1 + 0.16) Combine like terms: 1 + 0.16 = 1.16 500 = c(1.16) Reorder the terms for easier multiplication: 500 = 1.16c Solving 500 = 1.16c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1.16c' to each side of the equation. 500 + -1.16c = 1.16c + -1.16c Combine like terms: 1.16c + -1.16c = 0.00 500 + -1.16c = 0.00 Add '-500' to each side of the equation. 500 + -500 + -1.16c = 0.00 + -500 Combine like terms: 500 + -500 = 0 0 + -1.16c = 0.00 + -500 -1.16c = 0.00 + -500 Combine like terms: 0.00 + -500 = -500 -1.16c = -500 Divide each side by '-1.16'. c = 431.0344828 Simplifying c = 431.0344828
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