An electrician invested $9,000 in an investment account paying 2.45% interest compounded semiannually. After 30 years, the value of the account will have a balance of $18,685.71. If the electrician's investment was compounded continuously instead of twice per year, what would be the difference in the account balance after 30 years?
$42.03
$80.38
$83.63
$165.55