First, multiply the 1,500 by 4.3% to come up with $64.50 every three months (the question says compounded quarterly).
$64.50 x 4(quarters in a year) = $258.00 per year
$258.00 x 6 years = $1,548.00
$1,500.00 + $1,548.00 = $3,048.00 balance after six years