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daryn1234
21.12.2019 •
Mathematics
Otto's investment portfolio consisted of shares of internet stock and copper stock. during the year, the value of his internet shares increased $10\%$, but the value of his copper shares decreased from $\$10{,}000$ to $\$9{,}000$. during the same year, the total value of his portfolio increased by $6\%$. what was the dollar value of his internet shares at the end of the year?
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Ответ:
44000
Step-by-step explanation:
Let w be the initial value of Otto's internet stock, in dollars. At the beginning of the year, the total value of his portfolio is w+10,000 dollars. At the end of the year, the total value of his portfolio is 1.1w+9,000 dollars. Since increasing by 6% is equivalent to multiplying by 1.06, we have
1.06(w+10,000)=1.1w +9,000
Distributing and collecting terms, we find w=40,000. At the end of the year, his internet stock is worth 40,000* 1.1=44,000 dollars.
*credits: AoPS
Ответ:
Refrigerating ,disinfecting(washing the friut or vegtable off before cooking or storing) drying