27,200/(1+0.185)^3

asked by guest
on Nov 28, 2024 at 7:50 pm



You asked:

Evaluate the expression: \(\frac{27,200}{{\left( 1 + 0.185 \right)}^{3}}\)

MathBot Answer:

\[\frac{27,200}{{\left( 1 + 0.185 \right)}^{3}} = \frac{217600000000}{13312053} \approx 16346.08876632327109875539107303734443\]


\[\begin{aligned}\frac{27,200}{{\left( 1 + 0.185 \right)}^{3}}& = 27200 \cdot \frac{1}{\left(1 + \frac{185}{1000}\right)^{3}}\\& = 27200 \cdot \frac{1}{\left(1 + \frac{37}{200}\right)^{3}}\\& = 27200 \cdot \frac{1}{\left(\frac{237}{200}\right)^{3}}\\& = 27200 \cdot \frac{1}{\frac{13312053}{8000000}}\\& = \frac{217600000000}{13312053}\end{aligned}\]