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Simplifying 2821.50 = 2700(1 + 0.5r) 2821.50 = (1 * 2700 + 0.5r * 2700) 2821.50 = (2700 + 1350r) Solving 2821.50 = 2700 + 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. 2821.50 + -1350r = 2700 + 1350r + -1350r Combine like terms: 1350r + -1350r = 0 2821.50 + -1350r = 2700 + 0 2821.50 + -1350r = 2700 Add '-2821.50' to each side of the equation. 2821.50 + -2821.50 + -1350r = 2700 + -2821.50 Combine like terms: 2821.50 + -2821.50 = 0.00 0.00 + -1350r = 2700 + -2821.50 -1350r = 2700 + -2821.50 Combine like terms: 2700 + -2821.50 = -121.5 -1350r = -121.5 Divide each side by '-1350'. r = 0.09 Simplifying r = 0.09
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