复制
收藏
提问
简洁

Last year Melania had a total of $20000 invested in two mutual funds, Capital Growth Fund and Venture Index Fund. At the end of the year, she analyzed her investments and found that her earnings on her shares of Capital Growth Fund were three times half of her earnings on her investment in Venture Index Fund. If she earned a total of $1250 on her investments in the two funds, and had three times as much money invested in Capital Growth Fund as in Venture Index Fund, what percent interest did Melania earn on her investment in Venture Index Fund? A. 0.075 B. 0.01 C. 7.5 D. 10 E. 500

8c4bb59f1
1个月前
全网
文档
学术
百科
知识库
时间不限
自动
回答简洁模式
深入研究一些

问题答案

7.5%

问题分析

  • 投资总额：$20,000
  • 投资分配：Capital Growth Fund (CGF) 和 Venture Index Fund (VIF)
  • 收益关系：CGF 收益是 VIF 收益的三倍的一半
  • 总收益：$1,250
  • 投资比例：CGF 投资是 VIF 的三倍

计算过程

  1. 设 VIF 投资为 xx，则 CGF 投资为 3x3x。
  2. 根据收益关系，3x2\frac{3x}{2} 的收益是 xx 的三倍。
  3. 总收益 1250=3x2+x1250 = \frac{3x}{2} + x。
  4. 解方程得 x=125072=1250×27x = \frac{1250}{\frac{7}{2}} = \frac{1250 \times 2}{7}。
  5. VIF 收益 1250×27\frac{1250 \times 2}{7}，投资 xx，利率 1250×27x\frac{\frac{1250 \times 2}{7}}{x}。
  6. 计算得利率为 1250×2712507=7.5%\frac{\frac{1250 \times 2}{7}}{\frac{1250}{7}} = 7.5\%。12345610
你觉得结果怎么样？
What is the interest rate for Capital Growth Fund?
How much did Melania invest in Venture Index Fund?
What is the formula to calculate the interest earned?
How to solve for the interest rate in a mutual fund investment?
What is the total investment in Capital Growth Fund?
How to determine the investment distribution between two funds?

以上内容由AI搜集生成，仅供参考

在线客服