I don't know of any college degree that you can get and not take some math related classes.
Yes you can. However, you will have to inquire about any prerequisite coursework required for the program. If the program does require prerequisite coursework that you have not completed yet, you may be asked to complete those courses at the undergraduate level first before entering the program.
Any degree in engineering, physics, math, and some other sciences are going to require calculus. In most cases, all three semesters of it. Most all universities provide a course requirements list for all their degree programs on their webpage, which would tell you the math requirements.
Many computer-related jobs require no math. Where math is required is in getting the Computer Science degree, since many schools continue to teach the subject as a science (meaning they concentrate more on theory than vocational topics). In fact, at many universities, Computer Science is a part of the Math department. If we were to hire you in my IT organization, we would be more concerned with your technical competence. A degree in Computer Science in not required for any of our positions. An MCSE from Microsoft or a CCNA from Cisco counts more than any degree. However, since we are a university, we (and many other employers) require new hires to have a college degree. We just don't happen to care what you major in!
Being a model does not require a degree of any kind.
Being a modelER requires an advanced degree in math/statistics/physics/etc. Being a model requires the ability to starve oneself and walk in high heels - ie no degree at all.
You do not need a business degree, or for the matter any degree. It depends on your overall career goals and objectives. Some career options require a degree, some require a certification, while others require experience, and some require nothing but a will to do a particular job. So, it depends on what you want out of a degree.
writer and historian
Any bachelor's in business will require at least a pre-calculus, with some institutions requiring a brief calculus with applications. In addition, there will also be business statistical analysis.
It does not require a college degree to repair computers although it would give you the knowledge you need in order to excell in this field.
Yes. Any medical fields require a lot of math and science.
Any career that is not just tedious repetitive tasks will inevitably require the use of math.
It depends on the specific college or university. Some require a college algebra, while others require a lower level math such as mathematical concepts, or some type of finite math. Still, there are some institution that give you a choice between a math or laboratory science. In any event, the math for this major (if any) is a lower level math.