Problema Solution

You invested $10,000 in two accounts, one paying 8% and the other account paying 10% annual interest. At the end of the year, the total interest from these investments was $940. How much was invested at each rate?

Answer provided by our tutors

let


x = the money invested in the account paying 8%


y = the money invested in the account paying 10%


You invested $10,000 in two accounts:


x + y = 10,000


At the end of the year, the total interest from these investments was $940:


0.08x + 0.10y = 940


by solving the system of equations:


x + y = 10000


0.08x + 0.10y = 940


we find:


x = $3,000


y = $7,000


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$3,000 was invested at 8% and $7,000 was invested at 10%.