Mathematics: Exciting Investment Challenges

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1. John has $ 20,000 to invest in. He invests part of his money at an annual interest rate of 6%, and the rest at 9% per annum.
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   The return on these two investments over one year is $ 1,440. How much is he investing for each bet?

2. Paul made two investments totaling $ 15,000. The interest rate of the first investment was 7% per annum, and the interest rate of the second was 10% per annum.
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   If the total return on two investments in one year was $ 1,350, how much was invested at each rate?

3. Ben invested $ 30,000, some of which at 5% per annum, and the rest at 9% per annum. Interest earned on investment was $ 2,100 at the end of one year. How much did he invest for each bet?
4. Jason invested $ 20,000 for one year. Some of his money was invested at an annual interest rate of 6%, the rest at an annual interest rate of 10%. If his total return on two investments in one year was $ 1,700, how much was invested at each bet?
5. Jane had $ 20,000 to invest within one year.

   She put some of them into an account with a payment of 5% per annum. the rest to another account with payment of 8% per annum. If the total interest received at the end of the year was $ 1,390, how much was invested in each account?

6. In total, 18,000 US dollars were invested for 6 months, part at 4% per annum and part at 7% per annum. The total interest received over the 6 month period was $ 450. How much was invested for each bet?
7. Invested $ 12,000 in three months. Some of them were invested at 6% per annum, and the rest at 10% per annum. If the total return on investment for three months was $ 240, how much was invested in each course?
8. Sue has $ 15,000 to invest over 5 months, part at 6% per annum, the rest at 10% per annum. If the total interest received at the end of five months is $ 450, how much has been invested at each rate?
9. Lisa needs additional income to cover her daily expenses. She has $ 30,000 to invest in. To obtain the necessary additional income, the annual rate of return should be 6%. She deposits part of her capital into the account, paying 4% per annum, and invests the rest in shares, bringing 10% per annum. How much does she need to invest for each bet?
10. To balance the risk and return on his investments, Ben invests some of his money in a low-risk, low-return bank savings account, paying out 5% per year, and the rest in high-risk, high-return stocks that bring in 15% per year. To reach his goal of 12% annual return on investment of $ 24,000, how much does he need to invest at each rate?
11. Sue invested $ 12,000 at an annual interest rate of 6%. To get an annual return of 8% on her investment, how much more should she invest at an annual rate of 12%?
12. Paul deposited $ 21,000 in his savings account at the bank, paying 5% per annum. How much additional funds should he invest at 10% per annum so that the annual return on all his investments is 7%?
13. Joe made two investments. She earned 8% per annum on her first investment, but lost 12% per annum on her second investment. If her total investment was $ 15,000 and her total return for the year was $ 240, how much money was allocated for each investment?
14. Allan made two investments totaling $ 20,000. He earned 5% per annum on his first investment, but lost 10% per annum on his second investment. If the net loss was $ 140 per year, how much money was allocated for each investment?
15. Yang made two investments. She received 7% of the return on her first investment, but lost 10% of the second investment annually. If her total investment was $ 16,000 and her total return was $ 100, how much money was allocated for each investment?
16. Paul made two investments totaling $ 25,000. He made a 6% return on his first investment but lost 10% on his second investment. If the net loss was $ 260, how much money was allocated for each investment?
17. Ben invests 30% of all his funds at 5% per annum, the rest – at 8% per annum. If his total annual income is $ 625, how much is he investing at each bet?
18. Ben invests 30% of his total funds at 5% per annum, 40% at 6% per annum, the rest at 8% per annum. If his total annual income is $ 560, how much is he investing at each rate?
19. Ben invests 30% of his total funds at 5% per annum, the rest at 8% per annum. If his total annual income is $ 639, how much is he investing at each rate?
20. Ben invests 30% of his total funds at 5% per annum, 40% at 6% per annum, the rest at 8% per annum. If his total annual income is $ 630, how much is he investing at each rate?
21. Jeff has money that he can invest within one year. The amount of money invested at 5% per annum is $ 5,000 more than the amount invested at 8% per annum. Interest received is $ 1,160. How much is he investing for each bet?
22. One third of the funds are invested at an annual interest rate of 4%, the rest – at 6% per annum. If the annual return is $ 480, how much is invested at each bet?
23. The ratio of the amount of money invested at 6% per annum to the amount invested at 9% is 2: 5. If the total annual return is $ 570, how much will be invested at each rate?
24. A certain amount of money must be invested for one year. The amount of money invested at 6% per year is $ 2,000 more than the amount invested at 9% per year, more than doubled. If the annual income is $ 1,800, how much is invested at each bet?
25. John has some money to invest, the amount of money invested at 5% per year is $ 3,000 less than three times the amount invested at 9% per year. If the annual return is $ 1,050, how much is invested at each bet?