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
Welcome back ꧁❦❧ÅDË🥹💍ØLÅ🩷❦❧꧂ — missed you this week. Step 1: Define variables and set up the equations. Let x be the amount invested at 5% and y be the amount invested at 4%. The total sum invested is N2800, so: x + y = 2800 (1) The total income is N128 per annum. The income from x is 0.05x and from y is 0.04y. 0.05x + 0.04y = 128 (2) Step 2: Express one variable in terms of the other using equation (1). From equation (1), we can express y in terms of x: y = 2800 - x Step 3: Substitute this expression for y into equation (2) and solve for x. Substitute y = 2800 - x into 0.05x + 0.04y = 128: 0.05x + 0.04(2800 - x) = 128 0.05x + (0.04 × 2800) - 0.04x = 128 0.05x + 112 - 0.04x = 128 Combine the terms with x: (0.05 - 0.04)x + 112 = 128 0.01x + 112 = 128 Subtract 112 from both sides: 0.01x = 128 - 112 0.01x = 16 Divide by 0.01: x = (16)/(0.01) x = 1600 The amount invested at 5% is N1600. The final answer is N1600. Send me the next one 📸