Problema Solution

You invested $5000 between two accounts paying 4% and 7% annual interest, respectively. If the total interest earned for the year was $260, how much was invested at each ratea?

Answer provided by our tutors

let


x = the money invested in the account paying 4% annual interest


y = the money invested in the account paying 7% annual interest


You invested $5000 between two accounts paying 4% and 7% annual interest, respectively:


x + y = 5000


the total interest earned for the year was $260:


0.04x + 0.07y = 250


by solving the system of equations:


x + y = 5000


0.04x + 0.07y = 260


we find:


x = $3,000


y = $2,000


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there were $3,000 invested in the account paying 4% annual interest and $2,000 invested in the account paying 7% annual interest.