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
here are the solutions to the questions: 1. a) Simplify: w^2 × w × w^-2. Step 1: Apply the rule of exponents for multiplication, a^m × a^n = a^m+n. w^2 × w^1 × w^-2 = w^2+1+(-2) Step 2: Add the exponents. w^2+1-2 = w^1 = w The simplified expression is w. b) What is 21 (1)/(2)\% of Le 80,000.00. Step 1: Convert the percentage to a decimal. 21 (1)/(2)\% = 21.5\% = (21.5)/(100) = 0.215 Step 2: Multiply the decimal by the amount. 0.215 × Le 80,000.00 = Le 17,200.00 21 (1)/(2)\% of Le 80,000.00 is Le 17,200.00. c) At what rate will Le 10,000.00 earn an interest of Le 400.00 in 5 years? Step 1: Identify the given values: Principal (P) = Le 10,000.00, Interest (I) = Le 400.00, Time (T) = 5 years. Use the simple interest formula I = PRT. 400 = 10000 × R × 5 Step 2: Simplify the right side of the equation. 400 = 50000 × R Step 3: Solve for the rate (R). R = (400)/(50000) R = (4)/(500) = (1)/(125) = 0.008 Step 4: Convert the decimal rate to a percentage. R = 0.008 × 100\% = 0.8\% The rate is 0.8\%. Send me the next one 📸