What is the answer to 200= 4/(1-r) ?

The answer to 200= 4/(1-r) is r= 49/50

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200= 4/(1-r)

200 = \frac{4}{1 - r}

r = \frac{49}{50}

Decimal

r = 0.98

Solution steps

200 = \frac{4}{1 - r}

Multiply both sides by

1 - r

200 (1 - r) = 4

Divide both sides by

200

1 - r = \frac{1}{50}

Move

1

to the right side

- r = - \frac{49}{50}

Divide both sides by

- 1

r = \frac{49}{50}

Verify Solutions

Find undefined (singularity) points:

r = 1

Combine undefined points with solutions:

r = \frac{49}{50}

\frac{2}{x + 2} = \frac{4}{x}

x^{2} = \frac{12}{x ^{2} + 1}

P, T = \frac{A - P}{P x}

\frac{8}{( x + 2 ) ^{3}} = 0

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