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Simplifying 5000 = 4650(1 + 0.005t) 5000 = (1 * 4650 + 0.005t * 4650) 5000 = (4650 + 23.25t) Solving 5000 = 4650 + 23.25t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-23.25t' to each side of the equation. 5000 + -23.25t = 4650 + 23.25t + -23.25t Combine like terms: 23.25t + -23.25t = 0.00 5000 + -23.25t = 4650 + 0.00 5000 + -23.25t = 4650 Add '-5000' to each side of the equation. 5000 + -5000 + -23.25t = 4650 + -5000 Combine like terms: 5000 + -5000 = 0 0 + -23.25t = 4650 + -5000 -23.25t = 4650 + -5000 Combine like terms: 4650 + -5000 = -350 -23.25t = -350 Divide each side by '-23.25'. t = 15.05376344 Simplifying t = 15.05376344
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