25,400/(1+0.185)^5

asked by guest
on Nov 28, 2024 at 7:32 pm



You asked:

Evaluate the expression: \(\frac{25,400}{{\left( 1 + 0.185 \right)}^{5}}\)

MathBot Answer:

\[\frac{25,400}{{\left( 1 + 0.185 \right)}^{5}} = \frac{8128000000000000}{747724704957} \approx 10870.31088596627734547910908715474593\]


\[\begin{aligned}\frac{25,400}{{\left( 1 + 0.185 \right)}^{5}}& = 25400 \cdot \frac{1}{\left(1 + \frac{185}{1000}\right)^{5}}\\& = 25400 \cdot \frac{1}{\left(1 + \frac{37}{200}\right)^{5}}\\& = 25400 \cdot \frac{1}{\left(\frac{237}{200}\right)^{5}}\\& = 25400 \cdot \frac{1}{\frac{747724704957}{320000000000}}\\& = \frac{8128000000000000}{747724704957}\end{aligned}\]