Answer
$A=5000(1.00025)^{12t}$
${{\$}} 5106$
Work Step by Step
We want an exponential model, $A=Db^{t}$
At Nov 2010, we take $t=0$ years, and the deposit is $D=5000$
The interest presents a monthly increase by the factor
$b=1+0.003/12$
We have 12 months per year, so
$A=5000(1+0.003/12)^{12t}$
$A=5000(1.00025)^{12t}$
In seven years time, $t=7$, and
$A=5000(1.00025)^{12\cdot 7}\approx 5106.0968569$