find the missing value. round your answer to the nearest year. principal $800 rate 6% time blank years…

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. First, convert the rate from percentage to decimal: $r=6% = 0.06$, $P = 800$, and $I = 432$.

Step2: Solve for $t$

We can re - arrange the formula $I = Prt$ to solve for $t$. So, $t=\frac{I}{Pr}$. Substitute the values: $t=\frac{432}{800\times0.06}$.

Step3: Calculate the value of $t$

First, calculate the denominator: $800\times0.06 = 48$. Then, $t=\frac{432}{48}=9$.

Answer:

9