Solve 100left(1.005^3-1/0.005-3right)

$$100 \left( \frac{ { 1.005 }^{ 3 } -1 }{ 0.005 } -3 \right)$$

Evaluate

$$1.5025$$

Solution Steps

Calculate 1.005 to the power of 3 and get 1.015075125.

$$100\left(\frac{1.015075125-1}{0.005}-3\right)$$

Subtract 1 from 1.015075125 to get 0.015075125.

$$100\left(\frac{0.015075125}{0.005}-3\right)$$

Expand \frac{0.015075125}{0.005} by multiplying both numerator and the denominator by 1000000000.

$$100\left(\frac{15075125}{5000000}-3\right)$$

Reduce the fraction \frac{15075125}{5000000} to lowest terms by extracting and canceling out 125.

$$100\left(\frac{120601}{40000}-3\right)$$

Convert 3 to fraction \frac{120000}{40000}.

$$100\left(\frac{120601}{40000}-\frac{120000}{40000}\right)$$

Since \frac{120601}{40000} and \frac{120000}{40000} have the same denominator, subtract them by subtracting their numerators.

$$100\times \frac{120601-120000}{40000}$$

Subtract 120000 from 120601 to get 601.

$$100\times \frac{601}{40000}$$

Express 100\times \frac{601}{40000} as a single fraction.

$$\frac{100\times 601}{40000}$$

Multiply 100 and 601 to get 60100.

$$\frac{60100}{40000}$$

Reduce the fraction \frac{60100}{40000} to lowest terms by extracting and canceling out 100.

$$\frac{601}{400}$$

Factor

$$\frac{601}{2 ^ {4} \cdot 5 ^ {2}} = 1\frac{201}{400} = 1.5025$$