Solve x*(1+15%)^5=20000

$$x \cdot ( 1 + 15 \% ) ^ { 5 } = 20000$$

Solve for x

$$x = \frac{64000000000}{6436343} = 9943\frac{3441551}{6436343} \approx 9943.534705966$$

Steps for Solving Linear Equation

Reduce the fraction \frac{15}{100} to lowest terms by extracting and canceling out 5.

$$x\left(1+\frac{3}{20}\right)^{5}=20000$$

Add 1 and \frac{3}{20} to get \frac{23}{20}.

$$x\times \left(\frac{23}{20}\right)^{5}=20000$$

Calculate \frac{23}{20} to the power of 5 and get \frac{6436343}{3200000}.

$$x\times \frac{6436343}{3200000}=20000$$

Multiply both sides by \frac{3200000}{6436343}, the reciprocal of \frac{6436343}{3200000}.

$$x=20000\times \frac{3200000}{6436343}$$

Multiply 20000 and \frac{3200000}{6436343} to get \frac{64000000000}{6436343}.

$$x=\frac{64000000000}{6436343}$$