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

Question

Quizplus · Accepted Answer

To solve for $r$, we start with the given equation $P = \frac{A}{1 + rt}$. First, we isolate the denominator by multiplying both sides by $1 + rt$, which gives us $P(1 + rt) = A$. Expanding the left side, we get $P + Prt = A$. To isolate $r$, we subtract $P$ from both sides, resulting in $Prt = A - P$. Finally, dividing both sides by $Pt$ gives us $r = \frac{A - P}{Pt}$, which matches choice B.

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

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