# Mathematics of Investment Questionnaire

Topics: Investment, Rate of return, Finance Pages: 11 (3257 words) Published: May 11, 2011
 John has \$20,000 to invest. He invests part of his money at an annual interest rate of 6%, the rest at 9% annual rate. The return on these two investments over one year is \$1,440. How much does he invest at each rate?

Solution
 Paul made two investments totaling \$15,000. The percentage return on the first investment was 7% annually, while the the percentage return on the second one was 10% annually. If the total return on the two investments over one year was \$1,350, how much was invested at each rate?

 Ben invested \$30,000, part of which at 5% annual interest rate, the rest at 9% annual interest rate. The interest earned from the investments was \$2,100 at the end of one year. How much did he invest at each rate?

Solution
 Jason invested \$20,000 for one year, Part of his money was invested at an annual interest rate of 6%, the rest at an annual interest rate of 10%. If his total income from the two investments over one year was \$1,700, how much was invested at each rate?

 Jane had \$20,000 to invest for one year. She deposited part of which into an account paying 5% annual interest. the rest into another account paying 8% annual interest. If the total interest earned at the end of one year was \$1,390, how much was invested at each account?

 A total of \$18,000 was invested for 6 months, part at 4% annual interest rate and part at 7% annual interest rate. The total interest earned over the 6 month period was \$450, how much was invested at each rate?

Solution
 \$12,000 was invested for three months. Part of which was invested at 6% annual interest rate and the rest at 10% annual interest rate. If the total income for three months from the investments was \$240, how much was invested at each rate?

 Sue has \$15,000 to invest for 5 months, part at 6% annual rate, the rest at 10% annual rate. If the total interest earned at the end of five months is \$450, how much was invested at each rate? 1. Lisa requires additional income to meet her everyday expenses. She has \$30,000 to invest. To generate the required additional income, the annual return rate has to be 6%. She deposits part of her capital into an account paying 4% per year, and invest the rest in stocks earning 10% per year. How much does she need to invest at each rate?

2. To balance risk and return on his investment, Ben invests part of his money in an low risk, low return bank saving account paying 5% per year, the rest in high risk, high return stocks earning 15% per year. To achieve the goal of a 12% annual return on \$24,000 investment, how much does he need to invest at each rate?

3. Sue has invested \$12,000 at an annual interest rate of 6%. To realize an annual return of 8% on her investment, how much more funds must she invest at an annual rate of 12%?
4. Paul deposited \$21,000 into his bank saving account paying 5% per year. How much additional funds must he invest at 10% annually so that the annual return on his total investment is 7%?
5. Joe made two investments. She earned 8% annually on her first investment, but lost 12% annually on her second investment. If her total investment was \$15,000, and the total income was \$240 for one year, how much money was allocated to each investment?

6. Allan made two investments totaling \$20,000. He earned 5% annually on his first investment, but lost 10% annually on his second investment. If the net loss was \$140 for one year, how much money was allocated to each investment?

7. Jan made two investments. She made a 7% profit on her first investment, but lost 10% annually on her second investment. If her total investment was \$16,000, and the total income was \$100, how much money was allocated to each investment?

8. Paul made two investments totaling \$25,000. He made a profit of 6% on his first investment, but made a loss of 10% on his second investment. If the net loss was \$260, how much money was allocated to each investment?

9. Ben...