The rare-earth metal neodymium is an ingredient of high-field permanent magnets. Its consumption is growing at r c 5 5% per year. If 50% of all neodymium entering service is used for the electric...

The rare-earth metal neodymium is an ingredient of high-field permanent magnets. Its consumption is growing at r_c
5 5% per year. If 50% of all neodymium entering service is used for the electric motors of hybrid and electric cars with an average life of 15 years, what fraction will recycling 95% of the neodymium in these cars contribute to future consumption? Computer hard disk drives, too, contain neodymium magnets. If 15% of current neodymium consumption is that in hard disk drives with an average life of 3 years, what fraction will they contribute to future consumption if they, too, have a 95% recycle rate?