This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Let's solve this one. Step 1: Identify the given values. The principal amount borrowed (P) is 600,000. The annual interest rate (R) is 15%, which is 0.15 in decimal form. The time period (T) is 5 months. Since the interest rate is annual, convert the time to years: T = (5)/(12) years Step 2: Calculate the interest for part a). The formula for simple interest (I) is: I = P × R × T Substitute the values: I = 600,000 × 0.15 × (5)/(12) I = 90,000 × (5)/(12) I = (450,000)/(12) I = 37,500 The interest the trader must pay is 37,500. Step 3: Calculate the total amount for part b). The total amount (A) to be paid altogether is the principal plus the interest: A = P + I Substitute the values: A = 600,000 + 37,500 A = 637,500 The total amount the trader will pay altogether is 637,500. a) The interest he must pay after five months is: 37,500 b) The total amount the trader will pay altogether is: 637,500 That's 2 down. 3 left today — send the next one.