Solve 1000(1+0.05/2)^(2)(3)

$$1000 ( 1 + \frac { 0.05 } { 2 } ) ^ { ( 2 ) ( 3 ) }$$

Evaluate

$$1159.693418212890625$$

Solution Steps

Expand \frac{0.05}{2} by multiplying both numerator and the denominator by 100.

$$1000\left(1+\frac{5}{200}\right)^{2\times 3}$$

Reduce the fraction \frac{5}{200} to lowest terms by extracting and canceling out 5.

$$1000\left(1+\frac{1}{40}\right)^{2\times 3}$$

Add 1 and \frac{1}{40} to get \frac{41}{40}.

$$1000\times \left(\frac{41}{40}\right)^{2\times 3}$$

Multiply 2 and 3 to get 6.

$$1000\times \left(\frac{41}{40}\right)^{6}$$

Calculate \frac{41}{40} to the power of 6 and get \frac{4750104241}{4096000000}.

$$1000\times \frac{4750104241}{4096000000}$$

Multiply 1000 and \frac{4750104241}{4096000000} to get \frac{4750104241}{4096000}.

$$\frac{4750104241}{4096000}$$

Factor

$$\frac{41 ^ {6}}{2 ^ {15} \cdot 5 ^ {3}} = 1159\frac{2840241}{4096000} = 1159.6934182128907$$