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It's more of a business relationship, I think.
I give her a car, and I pay her todo the things which, frankly, wouldn't get done if it was left to me.
Is that any different from (say) buying clothes?
If you really put your mind to it, you could make a pair of pants. But you don't. Instead, you pay Marks and Spencer (or Victoria's Secret) to make your pants, and you pay them to do it.
That doesn't mean that Marks and Spencer are your servants.