Solve the equation for the specified variable.
-$P = \frac { A } { 1 + r t } \quad$ for $r$
A) $r = P - A t$
B) $r = \frac { P - A } { 1 + t }$
C) $r = \frac { A - P } { P t }$
D) $r = \frac { P - 1 } { A t }$

Question

Quizplus · Accepted Answer

To solve for $r$, we start with the given equation $P = \frac { A } { 1 + r t }$. We want to isolate $r$, so we first multiply both sides by $1 + rt$ to get rid of the denominator, leading to $P(1 + rt) = A$. Expanding the left side gives $P + Prt = A$, and then we isolate $rt$ by subtracting $P$ from both sides, resulting in $Prt = A - P$. Finally, we divide both sides by $Pt$ to solve for $r$, yielding $r = \frac { A - P } { P t }$.

Solve the Equation for the Specified Variable P=A1+rtP = \frac { A } { 1 + r t } \quadP=1+rtA​

Solve the Equation for the Specified Variable $P = \frac { A } { 1 + r t } \quad$