Solve 1600*40%*[(1+7%)^3-1]

$$1600 \times 40 \% \times [ ( 1 + 7 \% ) ^ { 3 } - 1 ]$$

Evaluate

$$\frac{450086}{3125}=144.02752$$

Solution Steps

Reduce the fraction \frac{40}{100} to lowest terms by extracting and canceling out 20.

$$1600\times \frac{2}{5}\left(\left(1+\frac{7}{100}\right)^{3}-1\right)$$

Multiply 1600 and \frac{2}{5} to get 640.

$$640\left(\left(1+\frac{7}{100}\right)^{3}-1\right)$$

Add 1 and \frac{7}{100} to get \frac{107}{100}.

$$640\left(\left(\frac{107}{100}\right)^{3}-1\right)$$

Calculate \frac{107}{100} to the power of 3 and get \frac{1225043}{1000000}.

$$640\left(\frac{1225043}{1000000}-1\right)$$

Subtract 1 from \frac{1225043}{1000000} to get \frac{225043}{1000000}.

$$640\times \frac{225043}{1000000}$$

Multiply 640 and \frac{225043}{1000000} to get \frac{450086}{3125}.

$$\frac{450086}{3125}$$

Factor

$$\frac{2 \cdot 7 \cdot 13 \cdot 2473}{5 ^ {5}} = 144\frac{86}{3125} = 144.02752$$