Dominique paid $15.50 to join an online music service. If she purchases 10 songs each month at a cost of $0.99 per song, what will be the total amount she has spent after 8 months?

The cost of purchasing 10 songs each month is 10 * $0.99 = $<<10*0.99=9.90>>9.90.

After 8 months, the total amount she has spent on songs would be $9.90 * 8 = $<<9.90*8=79.20>>79.20.
Therefore, the total amount she has spent after 8 months is $15.50 + $79.20 = $<<15.50+79.20=94.70>>94.70. Answer: \boxed{94.70}.