Final answer:
The number of students enrolled at a college is 43,000 and grows 7% each year. After 25 years, there will be approximately 120,329 students.
Step-by-step explanation:
To find the number of students after 25 years, we can use the formula for compound interest:
A = P(1 + r)^t
Where:
- A is the final amount (number of students after 25 years)
- P is the initial amount (43,000)
- r is the growth rate (7% or 0.07)
- t is the number of years (25)
Substituting the given values into the formula:
A = 43,000(1 + 0.07)^25
Simplifying the expression:
A ≈ 43,000(1.07)^25 ≈ 43,000 x 2.803
A ≈ 120,329
Therefore, after 25 years, there will be approximately 120,329 students enrolled at the college.