Solve (23000*5.7%+23000)-(23000*2.9%+23000)

$$(23000 \times 5.7 \% +23000)-(23000 \times 2.9 \% +23000)$$

Evaluate

$$644$$

Solution Steps

Expand \frac{5.7}{100} by multiplying both numerator and the denominator by 10.

$$23000\times \frac{57}{1000}+23000-\left(23000\times \frac{2.9}{100}+23000\right)$$

Express 23000\times \frac{57}{1000} as a single fraction.

$$\frac{23000\times 57}{1000}+23000-\left(23000\times \frac{2.9}{100}+23000\right)$$

Multiply 23000 and 57 to get 1311000.

$$\frac{1311000}{1000}+23000-\left(23000\times \frac{2.9}{100}+23000\right)$$

Divide 1311000 by 1000 to get 1311.

$$1311+23000-\left(23000\times \frac{2.9}{100}+23000\right)$$

Add 1311 and 23000 to get 24311.

$$24311-\left(23000\times \frac{2.9}{100}+23000\right)$$

Expand \frac{2.9}{100} by multiplying both numerator and the denominator by 10.

$$24311-\left(23000\times \frac{29}{1000}+23000\right)$$

Express 23000\times \frac{29}{1000} as a single fraction.

$$24311-\left(\frac{23000\times 29}{1000}+23000\right)$$

Multiply 23000 and 29 to get 667000.

$$24311-\left(\frac{667000}{1000}+23000\right)$$

Divide 667000 by 1000 to get 667.

$$24311-\left(667+23000\right)$$

Add 667 and 23000 to get 23667.

$$24311-23667$$

Subtract 23667 from 24311 to get 644.

$$644$$

Factor

$$7\times 23\times 2^{2}$$