we know that
The simple interest formula is equal to
[tex]A=P(1+rt)[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
[tex]t=9\ years\\ P=\$2,136\\ A=?\\r=0.0536[/tex]
substitute in the formula above
[tex]A=2,136(1+0.0536*9)[/tex]
[tex]A=2,136(1.4824)[/tex]
[tex]A=\$3,166.41[/tex]
Round to the nearest dollar
[tex]A=\$3,166[/tex]
therefore
the answer is the option D
[tex]\$3,166[/tex]
