Question

Select the correct answer from each drop-down menu. jake has decided to invest in three business ventures. the total cost of investing in all three ventures is $15,000. the combined investment in the first and third ventures is $7,000 more than the investment in the second venture. according to jake's research, his investment in the first venture will triple after three years, and the investments in the other two ventures will double in the same period, making the total value of his investment $39,000. jake's investment in the first venture is $ , his investment in the second venture is $ , and his investment in the third venture is $ .

Answer 1

Jake's investment in the first venture is $200,000, his investment in the second venture is $6,000, and his investment in the third venture is $400,000. These are determined by solving the system of equations based on the given information about the total investment and the expected growth of each venture.

Step-by-step explanation:

Jake has decided to invest in three business ventures. The total cost of investing in all three ventures is $15,000. The combined investment in the first and third ventures is $7,000 more than the investment in the second venture. After three years, Jake's investment in the first venture will triple, and the investments in the other two ventures will double, making the total value of his investment $39,000.

Let's denote the investment in the first, second, and third ventures as F, S, and T respectively. According to the problem:

• F + S + T = $15,000 (total investment)
• F + T = S + $7,000 (combined investment in first and third is $7,000 more than second)
• 3F + 2S + 2T = $39,000 (value after three years)

By solving these three equations, we find the investments:

1. F (first venture) = $200,000
2. S (second venture) = $6,000
3. T (third venture) = $400,000