Solve 5000(1+.05/8)^3=

$$5000 ( 1 + \frac { .05 } { 8 } ) ^ { 3 } =$$

Evaluate

$$5094.337158203125$$

Solution Steps

Expand \frac{0.05}{8} by multiplying both numerator and the denominator by 100.

$$5000\left(1+\frac{5}{800}\right)^{3}$$

Reduce the fraction \frac{5}{800} to lowest terms by extracting and canceling out 5.

$$5000\left(1+\frac{1}{160}\right)^{3}$$

Add 1 and \frac{1}{160} to get \frac{161}{160}.

$$5000\times \left(\frac{161}{160}\right)^{3}$$

Calculate \frac{161}{160} to the power of 3 and get \frac{4173281}{4096000}.

$$5000\times \frac{4173281}{4096000}$$

Multiply 5000 and \frac{4173281}{4096000} to get \frac{20866405}{4096}.

$$\frac{20866405}{4096}$$

Factor

$$\frac{5 \cdot 7 ^ {3} \cdot 23 ^ {3}}{2 ^ {12}} = 5094\frac{1381}{4096} = 5094.337158203125$$