Solve x(1+4%)^20=1000

$$x ( 1 + 4 \% ) ^ { 20 } = 1000$$

Solve for x

$$x = \frac{1136868377216160297393798828125}{2491018611901176144042524672} = 456\frac{9.638901892239238 \times 10^{26}}{2.4910186119011763 \times 10^{27}} \approx 456.386946201$$

Steps for Solving Linear Equation

Reduce the fraction \frac{4}{100} to lowest terms by extracting and canceling out 4.

$$x\left(1+\frac{1}{25}\right)^{20}=1000$$

Add 1 and \frac{1}{25} to get \frac{26}{25}.

$$x\times \left(\frac{26}{25}\right)^{20}=1000$$

Calculate \frac{26}{25} to the power of 20 and get \frac{19928148895209409152340197376}{9094947017729282379150390625}.

$$x\times \frac{19928148895209409152340197376}{9094947017729282379150390625}=1000$$

Multiply both sides by \frac{9094947017729282379150390625}{19928148895209409152340197376}, the reciprocal of \frac{19928148895209409152340197376}{9094947017729282379150390625}.

$$x=1000\times \frac{9094947017729282379150390625}{19928148895209409152340197376}$$

Multiply 1000 and \frac{9094947017729282379150390625}{19928148895209409152340197376} to get \frac{1136868377216160297393798828125}{2491018611901176144042524672}.

$$x=\frac{1136868377216160297393798828125}{2491018611901176144042524672}$$