259533.67=(135,000+((X*0.08)+X))+((135,000+((X*0.08)+X))*0.07)

asked by guest
on Jan 23, 2025 at 2:39 am



You asked:

Solve the equation \(259533.67 = 135,000 + X \cdot 0.08 + X + \left(135,000 + X \cdot 0.08 + X\right) \cdot 0.07\) for the variable \(X\).

MathBot Answer:

The solution is: \[X = \frac{287709175}{2889} = 99587.\overline{807199723087573554863274489442713741779162339910003461405330564209068881966078227760470751124956732433367947386638975424022152994115610938040844582900657667012}\]

\[\begin{aligned}259533.67 &= 135,000 + X \cdot 0.08 + X + \left(135,000 + X \cdot 0.08 + X\right) \cdot 0.07\\259533.67 &= 1.1556 X + 144450\\-1.1556 X &= -115083.67\\X &= \frac{287709175}{2889}\end{aligned}\]

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