Solve 10,000=xquad(1+0.08/4)^20

$$10,000 = x \quad ( 1 + \frac { 0.08 } { 4 } ) ^ { 20 }$$

Solve for x

$$x = \frac{95367431640625000000000000000000000000}{14171098670753043575626125424226001} = 6729\frac{1.0108685127771737 \times 10^{34}}{1.4171098670753046 \times 10^{34}} \approx 6729.713331081$$

Steps for Solving Linear Equation

Expand \frac{0.08}{4} by multiplying both numerator and the denominator by 100.

$$10000=x\left(1+\frac{8}{400}\right)^{20}$$

Reduce the fraction \frac{8}{400} to lowest terms by extracting and canceling out 8.

$$10000=x\left(1+\frac{1}{50}\right)^{20}$$

Add 1 and \frac{1}{50} to get \frac{51}{50}.

$$10000=x\times \left(\frac{51}{50}\right)^{20}$$

Calculate \frac{51}{50} to the power of 20 and get \frac{14171098670753043575626125424226001}{9536743164062500000000000000000000}.

$$10000=x\times \frac{14171098670753043575626125424226001}{9536743164062500000000000000000000}$$

Swap sides so that all variable terms are on the left hand side.

$$x\times \frac{14171098670753043575626125424226001}{9536743164062500000000000000000000}=10000$$

Multiply both sides by \frac{9536743164062500000000000000000000}{14171098670753043575626125424226001}, the reciprocal of \frac{14171098670753043575626125424226001}{9536743164062500000000000000000000}.

$$x=10000\times \frac{9536743164062500000000000000000000}{14171098670753043575626125424226001}$$

Multiply 10000 and \frac{9536743164062500000000000000000000}{14171098670753043575626125424226001} to get \frac{95367431640625000000000000000000000000}{14171098670753043575626125424226001}.

$$x=\frac{95367431640625000000000000000000000000}{14171098670753043575626125424226001}$$