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Simplifying 1874.25 = 1800(1 + r * 0.75) Reorder the terms for easier multiplication: 1874.25 = 1800(1 + 0.75r) 1874.25 = (1 * 1800 + 0.75r * 1800) 1874.25 = (1800 + 1350r) Solving 1874.25 = 1800 + 1350r Solving for variable 'r'. Move all terms containing r to the left, all other terms to the right. Add '-1350r' to each side of the equation. 1874.25 + -1350r = 1800 + 1350r + -1350r Combine like terms: 1350r + -1350r = 0 1874.25 + -1350r = 1800 + 0 1874.25 + -1350r = 1800 Add '-1874.25' to each side of the equation. 1874.25 + -1874.25 + -1350r = 1800 + -1874.25 Combine like terms: 1874.25 + -1874.25 = 0.00 0.00 + -1350r = 1800 + -1874.25 -1350r = 1800 + -1874.25 Combine like terms: 1800 + -1874.25 = -74.25 -1350r = -74.25 Divide each side by '-1350'. r = 0.055 Simplifying r = 0.055
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