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Simplifying 13400 = 10000(1 + 0.04t) 13400 = (1 * 10000 + 0.04t * 10000) 13400 = (10000 + 400t) Solving 13400 = 10000 + 400t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-400t' to each side of the equation. 13400 + -400t = 10000 + 400t + -400t Combine like terms: 400t + -400t = 0 13400 + -400t = 10000 + 0 13400 + -400t = 10000 Add '-13400' to each side of the equation. 13400 + -13400 + -400t = 10000 + -13400 Combine like terms: 13400 + -13400 = 0 0 + -400t = 10000 + -13400 -400t = 10000 + -13400 Combine like terms: 10000 + -13400 = -3400 -400t = -3400 Divide each side by '-400'. t = 8.5 Simplifying t = 8.5
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