Problema Solution

A man has invested $35000 part in a CD that pays 3% and the rest in a money market account that pays 9%. If his annual interest from these two investments amounted to $2292, how much money did he have invested at each rate?

Answer provided by our tutors

let


x = the money invested in a CD that pays 3%


y = the money invested in a money market account that pays 9%


a man has invested $35000:


x + y = 35000


his annual interest from these two investments amounted to $2292:


0.03x + 0.09y = 2292


by solving the system of equations:


x + y = 35000


0.03x + 0.09y = 2292


we find:


x = $14,300


y = $20,700


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the man invested $14,300 in a CD that pays 3% and $20,700 in a money market account that pays 9%.