Should I use 'is' or 'are' in this sentence?
- Are Joyce and I going to finish the posters?
- Is Joyce and I going to finish the posters?
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You should use are. Your sentence has two subjects, Joyce and I, therefore any verb referring to them should be in the plural form. One way to think about it is that you could replace Joyce and I with we:
In this case, it is even clearer that are should be used.
you should use 'is' in fact that it refers to joyce as the one who is going to finish the posters with someone else. you can use are in this case: Are we going to finish the posters? due to we refers both subjects.