Solve for p A=p(1+r/n)^(nt)

$A = p {(1 + \frac{r}{n})}^{n t}$

Rewrite the equation as $p {(1 + \frac{r}{n})}^{n t} = A$ .

$p {(1 + \frac{r}{n})}^{n t} = A$

Divide each term by ${(1 + \frac{r}{n})}^{n t}$ and simplify.

Tap for more steps…

Divide each term in $p {(1 + \frac{r}{n})}^{n t} = A$ by ${(1 + \frac{r}{n})}^{n t}$ .

$\frac{p {(1 + \frac{r}{n})}^{n t}}{{(1 + \frac{r}{n})}^{n t}} = \frac{A}{{(1 + \frac{r}{n})}^{n t}}$

Cancel the common factor of ${(1 + \frac{r}{n})}^{n t}$ .

Tap for more steps…

Cancel the common factor.

$\frac{p {(1 + \frac{r}{n})}^{n t}}{{(1 + \frac{r}{n})}^{n t}} = \frac{A}{{(1 + \frac{r}{n})}^{n t}}$

Divide $p$ by $1$ .

$p = \frac{A}{{(1 + \frac{r}{n})}^{n t}}$

Simplify $\frac{A}{{(1 + \frac{r}{n})}^{n t}}$ .

Tap for more steps…

Simplify the denominator.

Tap for more steps…

Write $1$ as a fraction with a common denominator.

$p = \frac{A}{{(\frac{n}{n} + \frac{r}{n})}^{n t}}$

Combine the numerators over the common denominator.

$p = \frac{A}{{(\frac{n + r}{n})}^{n t}}$

Apply the product rule to $\frac{n + r}{n}$ .

$p = \frac{A}{\frac{{(n + r)}^{n t}}{n^{n t}}}$

Multiply the numerator by the reciprocal of the denominator.

$p = A \frac{n^{n t}}{{(n + r)}^{n t}}$

Combine $A$ and $\frac{n^{n t}}{{(n + r)}^{n t}}$ .

$p = \frac{A n^{n t}}{{(n + r)}^{n t}}$

Solve for p A=p(1+r/n)^(nt)

Download our
App from the store