find the future value (in dollars) of a 2 - year investment of $6,825 into a simple interest rate account…

Explanation:

Step1: Recall simple - interest formula

The formula for simple interest is $I = Prt$, where $P$ is the principal amount, $r$ is the annual interest rate (in decimal form), and $t$ is the time in years. The future value $A$ is given by $A=P + I=P(1 + rt)$.

Step2: Convert the interest rate to decimal

The annual interest rate $r = 3.9%=0.039$. The principal $P=$6825$ and the time $t = 2$ years.

Step3: Calculate the future value

Substitute the values into the formula $A=P(1+rt)$. So $A = 6825\times(1+0.039\times2)$. First, calculate $0.039\times2 = 0.078$. Then $1+0.078=1.078$. Finally, $A = 6825\times1.078=$7357.35$.

Answer:

$7357.35$