Problema Solution

Things did not go quite as planned. You invested 

$19,320, 

part of it in a stock that paid 12% annual interest. However, the rest of the money suffered a 5% loss. If the total annual income from both investments was 

$1788, 

how much was invested at each rate?

Answer provided by our tutors

let


x = the money invested at 12% annual interest


y = the part of the money that suffered 5% loss


the total money invested is $19,320:


x + y = 19320


he total annual income from both investments was $1788:


0.12x - 0.05y = 1788


by solving the system of equations:


x + y = 19320


0.12x - 0.05y = 1788


we find:


x = $16,200


y = $3,120


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$16,200 were invested at 12% annual interest and $3,120 suffered 5% loss.