Speaking as an individual possessing a mathematics degree, I can honestly say it is one of the best decisions a person bound for the technical world can make. This is not biased opinion, but raw fact. A degree in mathematics - even pure mathematics - demonstrates to any potential technical employer a strong technically oriented educational background (no offense to other degree fields, but one seldom finds a surplus of idiots with mathematics degrees), the understanding of technical concepts, and the ability to apply technical knowledge - even sans an Applied Mathematics degree. Dependent upon which career arena mosts interests you, you might think of pairing the mathematics major with an appropriate minor - business/finance, risk management, computer science, etc.
Most employers (and later, colleagues) will never "look down on" a mathematics degree, or find it useless. One would be very hard pressed to find a job opportunity where one met all the qualifications and experience required, but was told a mathematics degree was the chief shortcoming. Do not allow the opinion of the inexperienced (assuming the opinions stated in the original post were from fellow students and/or persons with a non-technical background, yes?) waiver your desire to major in mathematics, and do not take my word on the matter. Consult your academic advisor regarding the employment opportunities with a mathematics degree. Research potential career paths you are interested in, and notice the core degrees sought - a surprising majority will include a mathematical degree. Not certain if your educational institution offers anything in the way of a "Career Day/Expo or the like, where prospective employers amass in booths and graduates/soon-to-be graduates are invited in a recruting effort. If so, definitely attend (even well before graduation), and speak to a number of represensatives regarding your choice of majors.
Do not get me wrong - there are a number of other important factors necessary in securing gainful employment after graduation including (but not limited to) job experience (preferably somewhat related to one's degree), community/campus involvement, etc. Employers typically look at the whole, rather than focusing on an individual part.
Regardless, good luck.