Question

the formula for simple interest is $i = prt$, where $i$ is interest, $p$ is principal, $r$ is interest rate, and $t$ is time in years. which equation can be used to calculate principal, $p$?
$\bigcirc$ $p = \frac{ti}{r}$
$\bigcirc$ $p = \frac{t}{ri}$
$\bigcirc$ $p = \frac{i}{rt}$
$\bigcirc$ $p = rti$

Explanation:

Step1: Isolate $P$ in the formula

Start with the simple interest formula: $I = Prt$
Divide both sides by $rt$ to solve for $P$.

Step2: Rearrange to solve for $P$

$\frac{I}{rt} = \frac{Prt}{rt}$
Simplify the right-hand side, where $\frac{rt}{rt}=1$.

Answer:

$\boldsymbol{P = \frac{I}{rt}}$ (corresponding to the third option: $P = \frac{I}{RT}$)