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500=(1+0.08)t
We move all terms to the left:
500-((1+0.08)t)=0
We add all the numbers together, and all the variables
-((1.08)t)+500=0
We calculate terms in parentheses: -((1.08)t), so:We add all the numbers together, and all the variables
(1.08)t
We multiply parentheses
1.08t
Back to the equation:
-(1.08t)
-(+1.08t)+500=0
We get rid of parentheses
-1.08t+500=0
We move all terms containing t to the left, all other terms to the right
-1.08t=-500
t=-500/-1.08
t=462+1/1.03846153846
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