Total = principal * (1 + (rate / n) ) ^ years * n
where "n" is the number of compounding periods per year
Total = 8,000 * (1 + (.1 / 2)) ^ 5 * 2
Total = 8,000 * (1.05) ^ 10
Total = 8,000 * 1.6288946268
Total = 13,031.16
So, the 8,000 @ 10% compounded semi-annually is the better offer because it pays $1,031.16 more.