Problema Solution

Roberto invested some money at 2.75%, and then invested $4000 more than twice this amount at 3%. His total annual income from the two investments was $1257.50. How much was invested at 3%?

Answer provided by our tutors

let


x = the money invested at 2.75%


x + 4000 = the money invested at 3%


total annual income from the two investments was $1257.50:


0.0275x + 0.03*(x + 4000) = 1257.50


by solving we find:


x = $19,782.61


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x + 4,000 = $19,782.61 + 4,000 = $23,782.61


$23,782.61 were invested at 3%.