Solve 3500(1+0.04/12)

$$3500(1+ \frac{ 0.04 }{ 12 } )$$

Evaluate

$$\frac{10535}{3}\approx 3511.666666667$$

Solution Steps

Expand \frac{0.04}{12} by multiplying both numerator and the denominator by 100.

$$3500\left(1+\frac{4}{1200}\right)$$

Reduce the fraction \frac{4}{1200} to lowest terms by extracting and canceling out 4.

$$3500\left(1+\frac{1}{300}\right)$$

Convert 1 to fraction \frac{300}{300}.

$$3500\left(\frac{300}{300}+\frac{1}{300}\right)$$

Since \frac{300}{300} and \frac{1}{300} have the same denominator, add them by adding their numerators.

$$3500\times \frac{300+1}{300}$$

Add 300 and 1 to get 301.

$$3500\times \frac{301}{300}$$

Express 3500\times \frac{301}{300} as a single fraction.

$$\frac{3500\times 301}{300}$$

Multiply 3500 and 301 to get 1053500.

$$\frac{1053500}{300}$$

Reduce the fraction \frac{1053500}{300} to lowest terms by extracting and canceling out 100.

$$\frac{10535}{3}$$

Factor

$$\frac{5 \cdot 43 \cdot 7 ^ {2}}{3} = 3511\frac{2}{3} = 3511.6666666666665$$