Problema Solution

One safe investment pays 8% per year, and a more risky investment pays 14% per year. How much must be invested in each account if an investor of $99,000 would like to return of $9,540 per year?

Answer provided by our tutors

let


x = the money invested at 8% per year

y = the money invested at 14% per year


x + y = 99000


0.08x + 0.14y = 9540


by solving the above system of equations we find


x = $72,000


y = $27,000


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$72,000 should be invested at 8% per year.

$27,000 should be invested at 14% per year.