Answer:
Carlos expect to make $540 on an investments of $6000.
Explanation:
Given:
Carlos thinks that he should make $9 for every $100 he invests.
Now, to get the amount Carlos expect to make on an investments of $6000.
Let the amount he expect to make on an investments of $6000 be
![x.](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mmi228653dkvma4dszwy75q6dvkduzr4zg.png)
As, Carlos thinks that he should make nine dollars for every $100 he invests.
So, $100 is equivalent to $9.
Thus, $6000 is equivalent to
![x.](https://img.qammunity.org/2021/formulas/mathematics/middle-school/mmi228653dkvma4dszwy75q6dvkduzr4zg.png)
Now, to get the amount using cross multiplication method:
![(100)/(9) =(6000)/(x)](https://img.qammunity.org/2021/formulas/mathematics/high-school/2su9eivbzuxjqx62gkocd01dkalkveemi4.png)
By cross multiplying we get:
![100x=54,000](https://img.qammunity.org/2021/formulas/mathematics/high-school/s8qs1adznqycdmgqkmpwpn0rn8zo2h1nnx.png)
Dividing both sides by 100 we get:
![x=540.](https://img.qammunity.org/2021/formulas/mathematics/high-school/jlcxrfuun5ofy1xg3dh9px8xxiw5ibgdzf.png)
Therefore, Carlos expect to make $540 on an investments of $6000.