Solve 3,500(1+.075/10)^2

$$3,500 ( 1 + \frac { .075 } { 10 } ) ^ { 2 }$$

Evaluate

$$3552.696875$$

Solution Steps

Expand \frac{0.075}{10} by multiplying both numerator and the denominator by 1000.

$$3500\left(1+\frac{75}{10000}\right)^{2}$$

Reduce the fraction \frac{75}{10000} to lowest terms by extracting and canceling out 25.

$$3500\left(1+\frac{3}{400}\right)^{2}$$

Add 1 and \frac{3}{400} to get \frac{403}{400}.

$$3500\times \left(\frac{403}{400}\right)^{2}$$

Calculate \frac{403}{400} to the power of 2 and get \frac{162409}{160000}.

$$3500\times \frac{162409}{160000}$$

Multiply 3500 and \frac{162409}{160000} to get \frac{1136863}{320}.

$$\frac{1136863}{320}$$

Factor

$$\frac{7 \cdot 13 ^ {2} \cdot 31 ^ {2}}{5 \cdot 2 ^ {6}} = 3552\frac{223}{320} = 3552.696875$$