* The receiving institution: Each college and university has its own policies regarding the acceptance of transfer credits. Some are more lenient than others, and some may have specific requirements regarding age of credits. They may not accept credits from regionally unaccredited institutions, regardless of age.
* The awarding institution: If the institution that granted the credits in 1989 is no longer in existence or has changed its accreditation status, it might make transfer more difficult.
* The type of credits: General education credits are more likely to transfer than specialized, major-specific courses.
* The course content: Even if the institution accepts credits from the awarding school, the receiving institution will assess whether the courses are equivalent to their own courses in terms of content and rigor. A course in, say, "Introduction to Computer Science" from 1989 might not be considered equivalent to a modern course with the same title.
* Institution policies on credit age: Some universities may have explicit policies limiting the age of transferable credits. This is less common, but it's possible.
In short: You need to contact the admissions office of the college or university where you wish to transfer the credits. They will be able to tell you definitively whether they will accept the credits based on their policies and a review of the course descriptions. Provide them with official transcripts from 1989.