Solve 18,000(1+.09/6)^12

$$18,000 ( 1 + \frac { .09 } { 6 } ) ^ { 12 }$$

Evaluate

$$21521.12708630763452810322176220703125$$

Solution Steps

Expand \frac{0.09}{6} by multiplying both numerator and the denominator by 100.

$$18000\left(1+\frac{9}{600}\right)^{12}$$

Reduce the fraction \frac{9}{600} to lowest terms by extracting and canceling out 3.

$$18000\left(1+\frac{3}{200}\right)^{12}$$

Add 1 and \frac{3}{200} to get \frac{203}{200}.

$$18000\times \left(\frac{203}{200}\right)^{12}$$

Calculate \frac{203}{200} to the power of 12 and get \frac{4897252030306448390395044241}{4096000000000000000000000000}.

$$18000\times \frac{4897252030306448390395044241}{4096000000000000000000000000}$$

Multiply 18000 and \frac{4897252030306448390395044241}{4096000000000000000000000000} to get \frac{44075268272758035513555398169}{2048000000000000000000000}.

$$\frac{44075268272758035513555398169}{2048000000000000000000000}$$

Factor

$$\frac{3 ^ {2} \cdot 7 ^ {12} \cdot 29 ^ {12}}{2 ^ {32} \cdot 5 ^ {21}} = 21521\frac{2.602727580405752 \times 10^{23}}{2.048 \times 10^{24}} = 21521.127086307635$$