Solve 28,600(1+.070/2)^4

$$28,600 ( 1 + \frac { .070 } { 2 } ) ^ { 4 }$$

Evaluate

$$32819.157817875$$

Solution Steps

Expand \frac{0.07}{2} by multiplying both numerator and the denominator by 100.

$$28600\left(1+\frac{7}{200}\right)^{4}$$

Add 1 and \frac{7}{200} to get \frac{207}{200}.

$$28600\times \left(\frac{207}{200}\right)^{4}$$

Calculate \frac{207}{200} to the power of 4 and get \frac{1836036801}{1600000000}.

$$28600\times \frac{1836036801}{1600000000}$$

Multiply 28600 and \frac{1836036801}{1600000000} to get \frac{262553262543}{8000000}.

$$\frac{262553262543}{8000000}$$

Factor

$$\frac{11 \cdot 13 \cdot 3 ^ {8} \cdot 23 ^ {4}}{2 ^ {9} \cdot 5 ^ {6}} = 32819\frac{1262543}{8000000} = 32819.157817875$$