Problema Solution

Stacy has a total of $6,000 in two accounts. The total amount of interest she earns from both accounts in the first year is $500. If one of the accounts earn 8% interest per year and the other earns 9% interest per year, how much did she invest in each account?

Answer provided by our tutors

let


x = the money in the account that earns 8% interest per year

y = the money in the account that earns 9% interest per year


Stacy has a total of $6,000 in two accounts


x + y = 6000


total amount of interest she earns from both accounts in the first year is $500


0.08x + 0.09y = 500


by solving the system of equations


x + y = 6000

0.08x + 0.09y = 500


we find


x = $4,000


y = $2,000


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Stacy invested $4,000 at the 8% interest account and $2,000 at the 9% interest account.