Question

1. make sense and persevere 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 enroll?
2. a salesperson earns 4% commission on furnace sales

a. what is the commission that the salesperson earns on the sale of $33,000 worth of furnaces?

Explanation:

Step1: Calculate the number of accepted students

The university accepts \(70\%\) of the \(20000\) applicants. To find the number of accepted students, we use the formula \( \text{Accepted}=\text{Total applicants}\times\text{Acceptance rate}\). So, \(20000\times0.7 = 14000\)

Step2: Calculate the number of enrolled students

Of the accepted students (\(14000\)), \(25\%\) enroll. Using the formula \( \text{Enrolled}=\text{Accepted students}\times\text{Enrollment rate}\), we get \(14000\times0.25=3500\)

Step1: Calculate the commission

The commission rate is \(4\% = 0.04\) and the sales amount is \(\$33000\). Using the formula \( \text{Commission}=\text{Sales amount}\times\text{Commission rate}\), we have \(33000\times0.04 = 1320\)

Answer:

\(3500\) students enroll.

For problem 16a: