Problema Solution

ellen invest $18000 in 2 funds paying 9.25% and 10.5%simple interest.how much is invested at 9.25% if the total yearly interest is $1827.50?

Answer provided by our tutors

let


x = the amount invested at 9.25% interest, x>0


y = the amount invested at 10.5% interest, y>0


Ellen invest $18000 in 2 funds:


x + y = 18000


the total yearly interest is $1827.50:


0.0925x + 0.105y = 1827.50


by solving the system of equations:


x + y = 18000


0.0925x + 0.105y = 1827.50


we find:


x = $5,000


y = $13,000


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$5,000 are invested at 9.25%.