Solve 2000(1+.049/12

$$2000 ( 1 + \frac { .049 } { 12 }$$

Evaluate

$$\frac{12049}{6}\approx 2008.166666667$$

Solution Steps

Expand \frac{0.049}{12} by multiplying both numerator and the denominator by 1000.

$$2000\left(1+\frac{49}{12000}\right)$$

Convert 1 to fraction \frac{12000}{12000}.

$$2000\left(\frac{12000}{12000}+\frac{49}{12000}\right)$$

Since \frac{12000}{12000} and \frac{49}{12000} have the same denominator, add them by adding their numerators.

$$2000\times \frac{12000+49}{12000}$$

Add 12000 and 49 to get 12049.

$$2000\times \frac{12049}{12000}$$

Express 2000\times \frac{12049}{12000} as a single fraction.

$$\frac{2000\times 12049}{12000}$$

Multiply 2000 and 12049 to get 24098000.

$$\frac{24098000}{12000}$$

Reduce the fraction \frac{24098000}{12000} to lowest terms by extracting and canceling out 2000.

$$\frac{12049}{6}$$

Factor

$$\frac{12049}{2 \cdot 3} = 2008\frac{1}{6} = 2008.1666666666667$$