Problema Solution

You have $6000 to invest in two stock funds. The first fund pays 5% annual interest and the second account pays 9% annual interest. If after a year you have made $380 in interest, how much money did you invest in each account?

Answer provided by our tutors

let


x = the money invested in the first fund

y = the money invested in the second fund


You have $6000 to invest in two stock funds


x + y = 6000


5% annual interest from x + 9% annual interest from y = $380


0.05x + 0.09y = 380


by solving the system of equations


x + y = 6000

0.05x + 0.09y = 380


we find


x = $4,000


y = $2,000


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there were $4,000 invested in the first account and $2,000 invested in the second account.