Problema Solution

Liz invested $3000, part at an annual interest rate of 5% and the rest at an annual interest rate of 12%. How much did she invest at each rate if her total income on the investment for 1 year was $220

Answer provided by our tutors

let


x = the money invested at an annual interest rate of 5%


y = the money invested at an annual interest rate of 12%


Liz invested $3000:


x + y = 3000


her total income on the investment for 1 year was $220:


0.05x + 0.12y = 220


by solving the system of equations:


x + y = 3000


0.05x + 0.12y = 220


we find:


x = $2,000


y = $1,000


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Liz invested $2,000 at an annual interest rate of 5% and $1,000 at an annual interest rate of 12%.