Solve =5000(1+8/100)^3

$$= 5000 ( 1 + \frac { 8 } { 100 } ) ^ { 3 }$$

Evaluate

$$\frac{157464}{25}=6298.56$$

Solution Steps

Reduce the fraction \frac{8}{100} to lowest terms by extracting and canceling out 4.

$$5000\left(1+\frac{2}{25}\right)^{3}$$

Add 1 and \frac{2}{25} to get \frac{27}{25}.

$$5000\times \left(\frac{27}{25}\right)^{3}$$

Calculate \frac{27}{25} to the power of 3 and get \frac{19683}{15625}.

$$5000\times \frac{19683}{15625}$$

Multiply 5000 and \frac{19683}{15625} to get \frac{157464}{25}.

$$\frac{157464}{25}$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {9}}{5 ^ {2}} = 6298\frac{14}{25} = 6298.56$$