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Simplifying 3866.50 = 3700(1 + 0.75r) 3866.50 = (1 * 3700 + 0.75r * 3700) 3866.50 = (3700 + 2775r) Solving 3866.50 = 3700 + 2775r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2775r' to each side of the equation. 3866.50 + -2775r = 3700 + 2775r + -2775r Combine like terms: 2775r + -2775r = 0 3866.50 + -2775r = 3700 + 0 3866.50 + -2775r = 3700 Add '-3866.50' to each side of the equation. 3866.50 + -3866.50 + -2775r = 3700 + -3866.50 Combine like terms: 3866.50 + -3866.50 = 0.00 0.00 + -2775r = 3700 + -3866.50 -2775r = 3700 + -3866.50 Combine like terms: 3700 + -3866.50 = -166.5 -2775r = -166.5 Divide each side by '-2775'. r = 0.06 Simplifying r = 0.06
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