Solve 16000[1+2.5/100]^3

$$16000 [ 1 + \frac { 2.5 } { 100 } ] ^ { 3 }$$

Evaluate

$$17230.25$$

Solution Steps

Expand \frac{2.5}{100} by multiplying both numerator and the denominator by 10.

$$16000\left(1+\frac{25}{1000}\right)^{3}$$

Reduce the fraction \frac{25}{1000} to lowest terms by extracting and canceling out 25.

$$16000\left(1+\frac{1}{40}\right)^{3}$$

Add 1 and \frac{1}{40} to get \frac{41}{40}.

$$16000\times \left(\frac{41}{40}\right)^{3}$$

Calculate \frac{41}{40} to the power of 3 and get \frac{68921}{64000}.

$$16000\times \frac{68921}{64000}$$

Multiply 16000 and \frac{68921}{64000} to get \frac{68921}{4}.

$$\frac{68921}{4}$$

Factor

$$\frac{41 ^ {3}}{2 ^ {2}} = 17230\frac{1}{4} = 17230.25$$