166=100(1+0.0056)n

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Solution for 166=100(1+0.0056)n equation:


Simplifying
166 = 100(1 + 0.0056) * n

Combine like terms: 1 + 0.0056 = 1.0056
166 = 100(1.0056) * n

Multiply 100 * 1.0056
166 = 100.56n

Solving
166 = 100.56n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-100.56n' to each side of the equation.
166 + -100.56n = 100.56n + -100.56n

Combine like terms: 100.56n + -100.56n = 0.00
166 + -100.56n = 0.00

Add '-166' to each side of the equation.
166 + -166 + -100.56n = 0.00 + -166

Combine like terms: 166 + -166 = 0
0 + -100.56n = 0.00 + -166
-100.56n = 0.00 + -166

Combine like terms: 0.00 + -166 = -166
-100.56n = -166

Divide each side by '-100.56'.
n = 1.650755768

Simplifying
n = 1.650755768

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