13. a large university accepts 70% of the students who apply. of the students the university accepts, 25%…

13. a large university accepts 70% of the students who apply. of the students the university accepts, 25% actually enroll. if 20,000 students apply, how many actually enroll?\na 14,000 students\nb 5,000 students\nc 3,500 students\nd 1,750 students

13. a large university accepts 70% of the students who apply. of the students the university accepts, 25% actually enroll. if 20,000 students apply, how many actually enroll?\na 14,000 students\nb 5,000 students\nc 3,500 students\nd 1,750 students

Answer

Explanation:

Step1: Calculate the number of accepted students

The number of students who apply is (n = 20000). The acceptance rate is (70%=0.7). The number of accepted students (A) is (A = 20000\times0.7) [A=14000]

Step2: Calculate the number of enrolled students

The enrollment rate among accepted students is (25% = 0.25). The number of enrolled students (E) is (E=A\times0.25). Since (A = 14000), then (E=14000\times0.25) [E = 3500]

Answer:

C. 3,500 students