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

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 $P(1 + rt) = A$. Then, we distribute $P$ to get $P + Prt = A$. Next, we isolate $rt$ by subtracting $P$ from both sides, resulting in $Prt = A - P$. Finally, we solve for $r$ by dividing both sides by $Pt$, leading to $r = \frac{A - P}{Pt}$.

Solve the Equation for the Indicated Variable A1+rt\frac { \mathrm { A } } { 1 + r t }1+rtA​

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