Solve 50000((1+1.45%)-1)

$$50000((1+1.45 \% )-1)$$

Evaluate

$$725$$

Solution Steps

Expand \frac{1.45}{100} by multiplying both numerator and the denominator by 100.

$$50000\left(1+\frac{145}{10000}-1\right)$$

Reduce the fraction \frac{145}{10000} to lowest terms by extracting and canceling out 5.

$$50000\left(1+\frac{29}{2000}-1\right)$$

Convert 1 to fraction \frac{2000}{2000}.

$$50000\left(\frac{2000}{2000}+\frac{29}{2000}-1\right)$$

Since \frac{2000}{2000} and \frac{29}{2000} have the same denominator, add them by adding their numerators.

$$50000\left(\frac{2000+29}{2000}-1\right)$$

Add 2000 and 29 to get 2029.

$$50000\left(\frac{2029}{2000}-1\right)$$

Convert 1 to fraction \frac{2000}{2000}.

$$50000\left(\frac{2029}{2000}-\frac{2000}{2000}\right)$$

Since \frac{2029}{2000} and \frac{2000}{2000} have the same denominator, subtract them by subtracting their numerators.

$$50000\times \frac{2029-2000}{2000}$$

Subtract 2000 from 2029 to get 29.

$$50000\times \frac{29}{2000}$$

Express 50000\times \frac{29}{2000} as a single fraction.

$$\frac{50000\times 29}{2000}$$

Multiply 50000 and 29 to get 1450000.

$$\frac{1450000}{2000}$$

Divide 1450000 by 2000 to get 725.

$$725$$

Factor

$$29\times 5^{2}$$