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

Starting with the given formula:
$$A = P + Prt$$
Subtracting P from both sides gives:
$$A - P = Prt$$
Dividing both sides by Pr gives:
$$\frac{A - P}{Pr} = t$$
Which can be rearranged as:
$$t = \frac{A - P}{Pr} = \frac{1}{r}\left(\frac{A}{P}-1\right)$$
Therefore, the answer is (D).

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

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