37.3 − 16.92(1.067)2

asked by guest
on Jan 24, 2025 at 10:58 am



You asked:

Evaluate the expression: \(37.3 - 16.92 \cdot 1.067 \cdot 2\)

MathBot Answer:

\[37.3 - 16.92 \cdot 1.067 \cdot 2 = \frac{14909}{12500} = 1.19272\]

\[\begin{aligned}37.3 - 16.92 \cdot 1.067 \cdot 2& = 37 + \frac{3}{10} - \left(16 + \frac{92}{100}\right) \cdot \left(1 + \frac{67}{1000}\right) \cdot 2\\& = 37 + \frac{3}{10} - \left(16 + \frac{23}{25}\right) \cdot \left(1 + \frac{67}{1000}\right) \cdot 2\\& = 37 + \frac{3}{10} - \frac{423}{25} \cdot \left(1 + \frac{67}{1000}\right) \cdot 2\\& = 37 + \frac{3}{10} - \frac{423}{25} \cdot \frac{1067}{1000} \cdot 2\\& = 37 + \frac{3}{10} - \frac{451341}{25000} \cdot 2\\& = 37 + \frac{3}{10} - \frac{451341}{12500}\\& = \frac{373}{10} - \frac{451341}{12500}\\& = \frac{14909}{12500}\end{aligned}\]

+ Submit Question