Solve the formula for t .
Simple interest formula: $A = P + P r t$
A) $\mathrm { t } = \frac { 1 } { \mathrm { r } } \left( \frac { A } { P } + 1 \right)$
B) $\mathrm { t } = \frac { 1 } { \mathrm { P } } \left( \frac { A } { \mathrm { r } } - 1 \right)$
C) $\mathrm { t } = \frac { 1 } { \mathrm { P } } \left( \frac { A } { \mathrm { r } } + 1 \right)$
D) $\mathrm { t } = \frac { 1 } { \mathrm { r } } \left( \frac { A } { P } - 1 \right)$
E) none of these

Question

Quizplus · Accepted Answer

Start by isolating the variable t on one side of the equation.

\begin{align*}
A &= P + P r t \
A - P &= P r t \
\frac{A - P}{P r} &= t \
\frac{A}{P r} - \frac{P}{P r} &= t \
\frac{A}{P r} - \frac{1}{r} &= t \
\end{align*}

So the formula for t is $\mathrm { t } = \frac { 1 } { \mathrm { r } } \left( \frac { A } { P } - 1 ight)$. Therefore, the correct answer is (D).

Solve the Formula for T A=P+PrtA = P + P r tA=P+Prt

Solve the Formula for T $A = P + P r t$