Given:
Total number of students enrolled in MATH 123 this semester is = 5,780
It increases by 0.22% for the next semester.
To find:
The enrollment next semester.
Solution:
Let x be the number of enrollments for next semester.
According to the question, total number of students enrolled in MATH 123 this semester is increases by 0.22% for the next semester. So,
[tex]x=5780+0.22\%\text{ of }5780[/tex]
[tex]x=5780+\dfrac{0.22}{100}\times 5780[/tex]
[tex]x=5780+0.0022\times 5780[/tex]
[tex]x=5780+12.716[/tex]
[tex]x=5792.716[/tex]
[tex]x\approx 5793[/tex]
Therefore, total number of students enrolled in MATH 123 next semester is 5,793.