What is the answer to 500=(1000)/((1+r)^5) ?

The answer to 500=(1000)/((1+r)^5) is r=\sqrt[5]{2}-1

Solve for r: 500=(1000)/((1+r)^5)

The solution is r=\sqrt[5]{2}-1

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500 = \frac{1000}{( 1 + r ) ^{5}}

Decimal Notation

r = 0.14869 \dots

Solution steps

500 = \frac{1000}{( 1 + r ) ^{5}}

Multiply both sides by

(1 + r)^{5}

500 (1 + r)^{5} = 1000

Solve

Verify Solutions

Find undefined (singularity) points:

r = - 1

Combine undefined points with solutions:

\frac{2 x}{3} = 10 - \frac{24}{x}

1 = \frac{161 x}{0.768 x + 161 x}

\frac{1}{2 ( 2 x - 4 ) + 2} = 4 (x + 2) - 11

x, y = \frac{2 x - 4}{x - 3}

\frac{x}{5} + \frac{3}{x - 4} = 10

What is the answer to 500=(1000)/((1+r)^5) ?
The answer to 500=(1000)/((1+r)^5) is r=\sqrt[5]{2}-1
Solve for r: 500=(1000)/((1+r)^5)
The solution is r=\sqrt[5]{2}-1