Answer
$A=4000(1.006)^{4t}$
${{\$}} 4844$
Work Step by Step
We want an exponential model for the amount, $A=Db^{t}$
At Nov 2010, we take $t=0$ years, and the deposit is $D=4000$
The interest presents a quarterly increase by the factor $b=1+0.0024/4$
We have 4 quarters per year, so
$A=4000(1+0.0024/4)^{4t}$
$A=4000(1.006)^{4t}$
In eight years time, $t=8$, and
$A=4000(1.006)^{4\cdot 8}\approx 4843.9022932$