闔於Geometric Series 及Logarithm 的數學問題

2008-10-16 5:19 pm
可否幫忙解答下列數學問題? (急)
A country's gross nation product (GNP) is forecast to grow at 3% per annum and its population is expected to expand at 1.5% per annum. GNP is currently $12,000 million and the population is 15 million, giving a GNP per capita of &800. When will GNP per capita reach $1,000?

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回答 (1)

2008-10-16 7:18 pm
✔ 最佳答案
Let x be the year required for GNP per capita reach $1,000.
$12,000 million*(1+3%)^x / 15 million(1+1.5%)^x = 1,000,
(1.03/1.015)^x = 1.25, x>15. Therefore, it takes 16 years for GNP per capita to reach $1,000


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