9. Marcus works for base pay: \( \$ 25,000 \), commission: \( 2 \% \), and fees: \( \$ 3.75 \) per transaction. (A) Commission on \( \$ 50,000 \) is \( \$ 1,000 \). (B) Commission on \( \$ 35,000 \) is \( \$ 800 \). (C) Fees for 25 transactions are \( \$ 93.75 \). (D) Total earnings for \( \$ 75,000 \) in sales and 10 transactions are \( \$ 1,537.50 \). (E) Total earnings for \( \$ 75,000 \) in sales and 10 transactions are \( \$ 26,537.50 \).

To solve the problem, we need to calculate Marcus's total earnings based on the given conditions. His total earnings consist of his base pay, commission from sales, and fees from transactions. ### Known Conditions: - Base pay: \( B = 25000 \) - Commission rate: \( r = 0.02 \) (2%) - Fees per transaction: \( f = 3.75 \) ### Calculations: 1. **Commission Calculation**: The commission \( C \) on sales \( S \) is calculated as: \[ C = r \times S \] 2. **Fees Calculation**: The total fees \( F \) for \( n \) transactions is calculated as: \[ F = f \times n \] 3. **Total Earnings Calculation**: The total earnings \( E \) can be calculated as: \[ E = B + C + F \] Now, let's evaluate each statement one by one. ### (A) Commission on \( \$ 50,000 \): - Sales \( S = 50000 \) - Calculate commission: \[ C = 0.02 \times 50000 = 1000 \] - This statement is **True**. ### (B) Commission on \( \$ 35,000 \): - Sales \( S = 35000 \) - Calculate commission: \[ C = 0.02 \times 35000 = 700 \] - This statement is **False** (the commission is \( 700 \), not \( 800 \)). ### (C) Fees for 25 transactions: - Number of transactions \( n = 25 \) - Calculate fees: \[ F = 3.75 \times 25 = 93.75 \] - This statement is **True**. ### (D) Total earnings for \( \$ 75,000 \) in sales and 10 transactions: - Sales \( S = 75000 \) - Number of transactions \( n = 10 \) - Calculate commission: \[ C = 0.02 \times 75000 = 1500 \] - Calculate fees: \[ F = 3.75 \times 10 = 37.5 \] - Calculate total earnings: \[ E = 25000 + 1500 + 37.5 = 26537.5 \] - This statement is **False** (the total earnings are \( 26537.5 \), not \( 1537.5 \)). ### (E) Total earnings for \( \$ 75,000 \) in sales and 10 transactions: - From the previous calculation, we found: \[ E = 26537.5 \] - This statement is **True**. ### Summary of Statements: - (A) True - (B) False - (C) True - (D) False - (E) True Thus, the true statements are (A), (C), and (E).