Solve 1200(1+6/100)^3

$$1200 ( 1 + \frac { 6 } { 100 } ) ^ { 3 }$$

Evaluate

$$\frac{893262}{625}=1429.2192$$

Solution Steps

Reduce the fraction \frac{6}{100} to lowest terms by extracting and canceling out 2.

$$1200\left(1+\frac{3}{50}\right)^{3}$$

Add 1 and \frac{3}{50} to get \frac{53}{50}.

$$1200\times \left(\frac{53}{50}\right)^{3}$$

Calculate \frac{53}{50} to the power of 3 and get \frac{148877}{125000}.

$$1200\times \frac{148877}{125000}$$

Multiply 1200 and \frac{148877}{125000} to get \frac{893262}{625}.

$$\frac{893262}{625}$$

Factor

$$\frac{2 \cdot 3 \cdot 53 ^ {3}}{5 ^ {4}} = 1429\frac{137}{625} = 1429.2192$$