Solve A=1000(1+0.08/6)^6

$$A = 1000 ( 1 + \frac { 0.08 } { 6 } ) ^ { 6 }$$

Solve for A

$$A = \frac{1541599428608}{1423828125} = 1082\frac{1017397358}{1423828125} \approx 1082.714550682$$

Steps for Solving Linear Equation

Expand \frac{0.08}{6} by multiplying both numerator and the denominator by 100.

$$A=1000\left(1+\frac{8}{600}\right)^{6}$$

Reduce the fraction \frac{8}{600} to lowest terms by extracting and canceling out 8.

$$A=1000\left(1+\frac{1}{75}\right)^{6}$$

Add 1 and \frac{1}{75} to get \frac{76}{75}.

$$A=1000\times \left(\frac{76}{75}\right)^{6}$$

Calculate \frac{76}{75} to the power of 6 and get \frac{192699928576}{177978515625}.

$$A=1000\times \frac{192699928576}{177978515625}$$

Multiply 1000 and \frac{192699928576}{177978515625} to get \frac{1541599428608}{1423828125}.

$$A=\frac{1541599428608}{1423828125}$$

Assign A

$$A≔\frac{1541599428608}{1423828125}$$