10$ a month or for 24hours? if its 10$ a month I think the electricity costs will be more than that, I run my pc around 10-12hrs a day and I get around 45-50$ bill per month there are many more things that i use on daily basis though, why don't you use a vps?
that's the same question most of us have why asking to rent a personal pc with the rate that will not be equal with the electric bill? vps can performed
and its much cheaper maybe we need some clarifications coming from the OP so it will clear it out.