Solve the formula for the specified variable.
-$\mathrm { A } = \mathrm { P } ( 1 + \mathrm { nr } ) \quad$ for $\mathrm { r }$
A) $r = \frac { A - P } { P n }$
B) $\mathrm { r } = \frac { \mathrm { P } - \mathrm { A } } { \mathrm { Pn } }$
C) $r = \frac { A } { n }$
D) $r = \frac { P n } { A - P }$

Question

Quizplus · Accepted Answer

To solve for r, we need to isolate it on one side of the equation. First, we can simplify the equation by distributing the P:
\begin{align*}
A & = P(1+nr) \
\frac{A}{P} & = 1+nr \
\frac{A}{P} - 1 & = nr \
\frac{A-P}{P} & = nr \
\frac{A-P}{Pn} & = r
\end{align*}
Therefore, the correct formula for r is $r = \frac{A-P}{Pn}$, which is choice A.

Solve the Formula for the Specified Variable A=P(1+nr)\mathrm { A } = \mathrm { P } ( 1 + \mathrm { nr } ) \quadA=P(1+nr)

Solve the Formula for the Specified Variable $\mathrm { A } = \mathrm { P } ( 1 + \mathrm { nr } ) \quad$