Question

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 $_____.

Option 1: $4,000
Option 2: $5,000
Option 3: $6,000
Option 4: $7,000

Answer 1

Answer: The answer for the first dropdown menu is $6,000, second one is also $6,000, third one is $3,000

Step-by-step explanation:

if you add 6,000 6,000 and 3,000 you get 15,000

Let’s pretend the extra zeroes aren’t there

6 * 2 + 3 = 15

now add the extra zeroes and you have your answer

Hope this helps!! :D

Answer 2

Using the provided information, we deduced through a system of equations that Jake invested $5,000 in the first venture, $3,000 in the second venture, and $7,000 in the third venture.

Step-by-step explanation:

Jake has decided to invest in three business ventures, which costs a total of $15,000. To determine the amount Jake invested in each venture, we can set up a system of equations based on the information provided. Let's denote the amount invested in the first, second, and third venture as x, y, and z respectively.

We have three key pieces of information to form our equations:

1. The total investment is $15,000: x + y + z = 15,000.
2. The combined investment in the first and third ventures is $7,000 more than the investment in the second venture: x + z = y + 7,000.
3. After three years, the investment value will be $39,000 with the first investment tripling and the other two doubling: 3x + 2y + 2z = 39,000.

By solving this system of equations, we find that x = $5,000, y = $3,000, and z = $7,000. Therefore, Jake's investment in the first venture is $5,000, in the second venture is $3,000, and in the third venture is $7,000. These correspond to the given options as Option 2, $5,000 for the first venture.