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Simplifying 4461.25 = 4300(1 + 0.5r) 4461.25 = (1 * 4300 + 0.5r * 4300) 4461.25 = (4300 + 2150r) Solving 4461.25 = 4300 + 2150r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-2150r' to each side of the equation. 4461.25 + -2150r = 4300 + 2150r + -2150r Combine like terms: 2150r + -2150r = 0 4461.25 + -2150r = 4300 + 0 4461.25 + -2150r = 4300 Add '-4461.25' to each side of the equation. 4461.25 + -4461.25 + -2150r = 4300 + -4461.25 Combine like terms: 4461.25 + -4461.25 = 0.00 0.00 + -2150r = 4300 + -4461.25 -2150r = 4300 + -4461.25 Combine like terms: 4300 + -4461.25 = -161.25 -2150r = -161.25 Divide each side by '-2150'. r = 0.075 Simplifying r = 0.075
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