means there exists an integer
such that
. We can divide both sides by
because
. This implies
for some integer, which is identically
.
Since the details are not available, we have provided an overview of William's total fixed and variable expenses for the first year of college.
<h3>What are college costs?</h3>
There are five categories of college costs.
These college costs include tuition, room and board, books and supplies, personal expenses, and transportation.
Some of the college costs like tuition and room and board may be relatively fixed.
This leaves expenses like books and suppliers, personal expenses, and transportation relatively variable.
Thus, William needs to control his variable college costs so that they do not exceed the student loan.
Learn more about college costs at brainly.com/question/11650418
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Answer:
Step-by-step explanation:
For example, the atmosphere mixes down into the other spheres and releases precipitates; the hydrosphere overlaps onto land surfaces and water vapor rises up into the atmosphere; the biosphere reaches up into the atmosphere, down into soils and rock, and throughout the oceans, exchanging gases, water and nutrients
