Problema Solution

You plan to invest $12,000 in to two funds paying 5% and 4.5% simple interest. Your goal is to obtain a total annual interest income of $580 from the investments. How much should you invest in each account?

Answer provided by our tutors

let


x = investment with 5% simple interest

y = investment with 4.5% simple interest


x + y =12000


5% of x + 4.5% of y = $580


0.05*x + 0045*y = 580


by solving the system of equations


x + y =12000

0.05*x + 0045*y = 580


we find


x = $8000


y = $4000


I should invest $8000 and $4000 with 5% and 4.5% simple interest.