find the missing value. principal rate time simple interest $ 5% 4 years $15,340

Explanation:

Step1: Recall simple - interest formula

The simple - interest formula is $I = Prt$, where $I$ is the simple interest, $P$ is the principal, $r$ is the annual interest rate (in decimal form), and $t$ is the time in years. We are given $I=$15340$, $r = 5%=0.05$, and $t = 4$ years. We need to find $P$.

Step2: Rearrange the formula to solve for $P$

From $I = Prt$, we can solve for $P$ by dividing both sides of the equation by $rt$. So, $P=\frac{I}{rt}$.

Step3: Substitute the given values

Substitute $I = 15340$, $r=0.05$, and $t = 4$ into the formula $P=\frac{I}{rt}$. $P=\frac{15340}{0.05\times4}$ $P=\frac{15340}{0.2}$ $P = 76700$

Answer:

$76700$