Problema Solution

You invested $12,000, part of it in a stock that paid 14% annual interest. However, the rest of the money suffered a 6% loss. Express the total annual income from both investments, I, as a function of the amount invested in the 14% stock, x.

Answer provided by our tutors

x = the part of the money invested in the 14% stock


12,000 - x = the rest of the money that suffered a 6% loss


I(x) = 0.14x - 0.06(12,000 - x)


I(x) = 0.2x - 720


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the total annual income from both investments is: I(x) = 0.2x - 720, where x is the amount invested in the 14% stock.