Hi I'm Billy, and i will assist you with your problem.
First you need to check the A/C fuse in the fuse/relay box.
You'll find a legend on the box cover telling you which fuse is that.
If the fuse is fine, then it's a faulty compressor clutch and then you will have to have it rebuilt or get a new one.
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how much should i expect to pay if that needs to be replaced?
If the compressor needs to be replaced, it should be around 800USD depending where you reside.