What is the answer to (500)/((1+r)^{10)}=100 ?

The answer to (500)/((1+r)^{10)}=100 is r=\sqrt[10]{5}-1,r=-\sqrt[10]{5}-1

Solve for r: (500)/((1+r)^{10)}=100

The solution is r=\sqrt[10]{5}-1,r=-\sqrt[10]{5}-1

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\frac{500}{( 1 + r ) ^{10}} = 100

Decimal Notation

r = 0.17461 \dots, r = - 2.17461 \dots

Solution steps

\frac{500}{( 1 + r ) ^{10}} = 100

Multiply both sides by

(1 + r)^{10}

500 = 100 (1 + r)^{10}

Solve

Verify Solutions

Find undefined (singularity) points:

r = - 1

Combine undefined points with solutions:

\frac{( x + 3 )}{( x + 4 )} = \frac{( x ^{2} - 1 )}{2}

1.2 (x) = \frac{6}{52 x - x}

9 + x^{- 4} = 10 x^{- 2}

\frac{100 x - 10000}{x ^{2}} = 0

\frac{1}{2 x ^{2} + x} = 5

What is the answer to (500)/((1+r)^{10)}=100 ?
The answer to (500)/((1+r)^{10)}=100 is r=\sqrt[10]{5}-1,r=-\sqrt[10]{5}-1
Solve for r: (500)/((1+r)^{10)}=100
The solution is r=\sqrt[10]{5}-1,r=-\sqrt[10]{5}-1