R(t)=400(1.02)t

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Solution for R(t)=400(1.02)t equation:


Simplifying
R(t) = 400(1.02) * t

Multiply R * t
tR = 400(1.02) * t

Multiply 400 * 1.02
tR = 408t

Solving
tR = 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 + tR = 408t + -408t

Combine like terms: 408t + -408t = 0
-408t + tR = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(-408 + R) = 0

Subproblem 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 = 0

Subproblem 2

Set the factor '(-408 + R)' equal to zero and attempt to solve: Simplifying -408 + R = 0 Solving -408 + R = 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 + R = 0 + 408 Combine like terms: -408 + 408 = 0 0 + R = 0 + 408 R = 0 + 408 Combine like terms: 0 + 408 = 408 R = 408 Add '-1R' to each side of the equation. R + -1R = 408 + -1R Combine like terms: R + -1R = 0 0 = 408 + -1R Simplifying 0 = 408 + -1R 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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