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
a) Simplify: w^2 × w × w^-2. Step 1: Apply the rule of exponents 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 The simplified expression is w. w b) What is 21(1)/(2)\% of Le 80,000.00. Step 1: Convert the percentage to a decimal or fraction. 21(1)/(2)\% = 21.5\% = (21.5)/(100) Step 2: Multiply the decimal/fraction by the amount. (21.5)/(100) × 80,000.00 = 0.215 × 80,000.00 Step 3: Calculate the value. 0.215 × 80,000.00 = 17,200.00 The amount is Le 17,200.00. 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 for simple interest. Principal (P) = Le 10,000.00 Interest (I) = Le 400.00 Time (T) = 5 years Step 2: Use the simple interest formula I = P × R × T to find the rate (R). Rearrange the formula to solve for R: R = (I)/(P × T) Step 3: Substitute the values into the formula. R = (400)/(10,000 × 5) Step 4: Calculate the rate. R = (400)/(50,000) R = 0.008 Step 5: Convert the rate to a percentage. R = 0.008 × 100\% = 0.8\% The interest rate is 0.8\%. 0.8\% Send me the next one 📸