Solve for t Q=f(1+rt)

$Q = f (1 + r t)$

Rewrite the equation as $f (1 + r t) = Q$ .

$f (1 + r t) = Q$

Divide each term by $f$ and simplify.

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Divide each term in $f (1 + r t) = Q$ by $f$ .

$\frac{f (1 + r t)}{f} = \frac{Q}{f}$

Cancel the common factor of $f$ .

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Cancel the common factor.

$\frac{f (1 + r t)}{f} = \frac{Q}{f}$

Divide $1 + r t$ by $1$ .

$1 + r t = \frac{Q}{f}$

Subtract $1$ from both sides of the equation.

$r t = \frac{Q}{f} - 1$

Divide each term by $r$ and simplify.

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Divide each term in $r t = \frac{Q}{f} - 1$ by $r$ .

$\frac{r t}{r} = \frac{Q}{f} \cdot \frac{1}{r} + \frac{- 1}{r}$

Cancel the common factor of $r$ .

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Cancel the common factor.

$\frac{r t}{r} = \frac{Q}{f} \cdot \frac{1}{r} + \frac{- 1}{r}$

Divide $t$ by $1$ .

$t = \frac{Q}{f} \cdot \frac{1}{r} + \frac{- 1}{r}$

Simplify each term.

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Multiply $\frac{Q}{f}$ and $\frac{1}{r}$ .

$t = \frac{Q}{f r} + \frac{- 1}{r}$

Move the negative in front of the fraction.

$t = \frac{Q}{f r} - \frac{1}{r}$

Solve for t Q=f(1+rt)

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