Problema Solution

You invested $7000 between two accounts paying 5% and 7% annual interest, respectively. If the total interest earned for the year was $450, how much was invested at each rate?

Answer provided by our tutors

let


x = the money invested at 5%


y = the money invested at 7%


You invested $7000 between two accounts paying 5% and 7% annual interest, respectively:


x + y = 7000


the total interest earned for the year was $450:


0.05x + 0.07y = 450


by solving the system of equations:


x + y = 7000


0.05x + 0.07y = 450


we find:


x = $2,000


y = $5,000


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$2,000 was invested at 5% annual interest rate.


$5,000 was invested at 7% annual interest rate.