Answer
$16084.37$
Work Step by Step
If in a one year we have $4$ quarters then in a $6$ years there will be $6 \times 4 =24$ quarters
Need to find the balance after $24$ quarters which can be found as:
$a_{24}=10000(1+\dfrac{0.08}{4})^{24}$
or, $=16084.37$