find the missing value. principal $blank rate 14% time 4 years simple interest $23,016

Explanation:

Step1: Recall simple - interest formula

The simple - interest formula is $I = Prt$, where $I$ is the interest, $P$ is the principal, $r$ is the rate of interest (in decimal form), and $t$ is the time. Given $I=$23016$, $r = 14%=0.14$, and $t = 4$ years. We need to solve for $P$.

Step2: Rearrange the formula 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 $I = 23016$, $r=0.14$, and $t = 4$ into the formula $P=\frac{I}{rt}$. Then $P=\frac{23016}{0.14\times4}$.

Step4: Calculate the denominator

First, calculate $0.14\times4=0.56$.

Step5: Calculate the principal

Then, $P=\frac{23016}{0.56}=41100$.

Answer:

$41100$