A person has $ to invest. Part of the money is to be placed in a certificate of deposit paying %, per year. The rest is to be placed in corporate bonds paying %, per year. If he wishes to obtain an overall return of % per year, how much should be placed in each investment?

Question

A person has ​$ to invest. Part of the money is to be placed in a certificate of deposit paying ​%, per year. The rest is to be placed in corporate bonds paying ​%, per year. If he wishes to obtain an overall return of ​% per​ year, how much should be placed in each​ investment?

oobleck · Answer

If there are $z invested, with $x at a% and the rest at b%, and the final result is c%, then ax + b(z-x) = cz Now you really should supply some numbers. Just sayin'

A person has ​$ to invest. Part of the money is to be placed in a certificate of deposit paying ​%, per year. The rest is to be placed in corporate bonds paying ​%, per year. If he wishes to obtain an overall return of ​% per​ year, how much should be placed in each​ investment?

A person has $ to invest. Part of the money is to be placed in a certificate of deposit paying %, per year. The rest is to be placed in corporate bonds paying %, per year. If he wishes to obtain an overall return of % per year, how much should be placed in each investment?