There will be 1.078x students next year and equation is number of students in next year = x + 7.8% of x
<h3><u>Solution:</u></h3>
Given, There are "x" number of students at helms.
The number of students increases by 7.8% each year which means if there "x" number of students in present year, then the number of students in next year will be x + 7.8% of x
Number of students in next year = number of students in present year + increased number of students.

Thus there will be 1.078x students in next year
Answer:
- 6x³ - 1
Step-by-step explanation:
Substitute x = g(x) into f(x), that is
(f ○ g)(x)
= f(x³ )
= - 6(x³) - 1
= - 6x³ - 1
Answer:
The company needs to sell 9000 units in order to turn a profit of $40,000
Step-by-step explanation:
Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.
From the question we can get some important hints before creating our formula. First the Selling Price will be profit so it will be a positive number, but both unit cost and fixed costs are losses so they will be negative values in our formula. Also our formula will depend on the amount sold which we can represent as the variable x. With these hints we can create our formula as the following

Where:
- x is the amount of units created and sold
- y is the total profit after selling x-units
Now that we have our formula the question asks how many units need to be sold in order to earn a profit of $40,000. We can calculate this by replacing the $40,000 with y and solving for x like so,
.... add 400,000 on both sides
... divide both sides by 40

The company needs to sell 9000 units in order to turn a profit of $40,000
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