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Solve for x_0
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x_{0}=\frac{40}{0.65}
Divide both sides by 0.65.
x_{0}=\frac{4000}{65}
Expand \frac{40}{0.65} by multiplying both numerator and the denominator by 100.
x_{0}=\frac{800}{13}
Reduce the fraction \frac{4000}{65} to lowest terms by extracting and canceling out 5.