Solve 4000(1+0.034/4)

$$4000(1+ \frac{ 0.034 }{ 4 } )$$

Evaluate

$$4034$$

Solution Steps

Expand \frac{0.034}{4} by multiplying both numerator and the denominator by 1000.

$$4000\left(1+\frac{34}{4000}\right)$$

Reduce the fraction \frac{34}{4000} to lowest terms by extracting and canceling out 2.

$$4000\left(1+\frac{17}{2000}\right)$$

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

$$4000\left(\frac{2000}{2000}+\frac{17}{2000}\right)$$

Since \frac{2000}{2000} and \frac{17}{2000} have the same denominator, add them by adding their numerators.

$$4000\times \frac{2000+17}{2000}$$

Add 2000 and 17 to get 2017.

$$4000\times \frac{2017}{2000}$$

Express 4000\times \frac{2017}{2000} as a single fraction.

$$\frac{4000\times 2017}{2000}$$

Multiply 4000 and 2017 to get 8068000.

$$\frac{8068000}{2000}$$

Divide 8068000 by 2000 to get 4034.

$$4034$$

Factor

$$2\times 2017$$