Problema Solution

$9500 is invested part of it at 11% and part of it at 6%. for a certain year the total yield is $865.00. how much is invested at each rate

Answer provided by our tutors

let


x = the money invested at 10%

y = the money invested at 6%


$9500 is invested


x + y = 9500


for a certain year the total yield is $865.00


0.10x + 0.06y = 865.00


by solving the system of equations


x + y = 9500

0.10x + 0.06y = 865.00


we find


x = $7,375


y = $2,125


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$7,375 is invested at a rate of 11% and $2,125 at a rate of 6%.