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michellelirett
05.10.2019 •
Mathematics
Roberto invested some money at 7%, and then invested $3000 more than twice the amount at 12%. his total annual income from the two investments was $4700. how much was invested at 12%?
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Ответ:
now, how much is 7% of a? well, (7/100) * a, or 0.07a.
then he invested some more at 12%
in fact "$3000 more than twice the amount" of "a" is what he invested at 12%.
now, what's twice the amount of "a"? well, 2a.
what's 3000 more than that? well, 2a + 3000
so, he invested that much at 12%, how much is 12% of 2a+3000? well, (12/100) * (2a + 3000), or just 0.12(2a+3000)
we also know that, the interest earned from both investments is 4700, thus
0.07a + 0.12(2a+3000) = 4700
how much was invested at 12%? well, 2a + 3000.
Ответ: