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Simplifying P(t) = 400(1.02) * t Multiply P * t tP = 400(1.02) * t Multiply 400 * 1.02 tP = 408t Solving tP = 408t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-408t' to each side of the equation. -408t + tP = 408t + -408t Combine like terms: 408t + -408t = 0 -408t + tP = 0 Factor out the Greatest Common Factor (GCF), 't'. t(-408 + P) = 0Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0Subproblem 2
Set the factor '(-408 + P)' equal to zero and attempt to solve: Simplifying -408 + P = 0 Solving -408 + P = 0 Move all terms containing t to the left, all other terms to the right. Add '408' to each side of the equation. -408 + 408 + P = 0 + 408 Combine like terms: -408 + 408 = 0 0 + P = 0 + 408 P = 0 + 408 Combine like terms: 0 + 408 = 408 P = 408 Add '-1P' to each side of the equation. P + -1P = 408 + -1P Combine like terms: P + -1P = 0 0 = 408 + -1P Simplifying 0 = 408 + -1P The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
t = {0}
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