What is the answer to 10045=(10175)/((1+r)^1) ?

The answer to 10045=(10175)/((1+r)^1) is r= 26/2009

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10045=(10175)/((1+r)^1)

10045 = \frac{10175}{( 1 + r ) ^{1}}

r = \frac{26}{2009}

Decimal Notation

r = 0.01294 \dots

Solution steps

10045 = \frac{10175}{( 1 + r ) ^{1}}

Simplify

\frac{10175}{( 1 + r ) ^{1}} : \frac{10175}{1 + r}

10045 = \frac{10175}{1 + r}

Multiply both sides by

1 + r

10045 (1 + r) = 10175

Divide both sides by

10045

1 + r = \frac{2035}{2009}

Move

1

to the right side

r = \frac{26}{2009}

Verify Solutions

Find undefined (singularity) points:

r = - 1

Combine undefined points with solutions:

r = \frac{26}{2009}

- \frac{1}{( x + 5 ) ^{2}} = - 1

\frac{1312500 + x}{525000 + x} = 2.2

\frac{1}{x} + \frac{6}{x - 4} = 0

\frac{1}{x + 3} = \frac{1}{2}

\frac{1}{a ^{n}} = a^{- n}

What is the answer to 10045=(10175)/((1+r)^1) ?
The answer to 10045=(10175)/((1+r)^1) is r= 26/2009
Solve for r: 10045=(10175)/((1+r)^1)
The solution is r= 26/2009