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.
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Here are the solutions to the problems: 15. The sum of 3,4,5,9 and 1=22. Find the sum of 1, 8, 3, 0, 0,9 and 1. Step 1: Add all the given numbers. Sum = 1 + 8 + 3 + 0 + 0 + 9 + 1. Step 2: Perform the addition. Sum = 22. 22 16. If I borrowed the sum of 5000 FRS for 6 months at 4% per annum. How much will I pay as interest? Step 1: Identify the principal (P), rate (R), and time (T). Principal (P) = 5000 FRS. Rate (R) = 4\% per annum = (4)/(100) = 0.04. Time (T) = 6 months = (6)/(12) years = 0.5 years. Step 2: Use the simple interest formula: Interest (I) = P × R × T. Step 3: Substitute the values and calculate the interest. I = 5000 × 0.04 × 0.5 I = 200 × 0.5 I = 100 FRS. 100 FRS 17. The index form of 33377722 is 3^3 7^3 2^2. What is the index form of 333556677888? Step 1: Understand the pattern from the example. The "index form" here means grouping identical digits and writing them as a base raised to the power of their count. For 33377722: three 3s (3^3), three 7s (7^3), two 2s (2^2). Step 2: Apply this pattern to the number 333556677888. Count the occurrences of each digit: • Digit 3 appears 3 times → 3^3 • Digit 5 appears 2 times → 5^2 • Digit 6 appears 2 times → 6^2 • Digit 7 appears 2 times → 7^2 • Digit 8 appears 3 times → 8^3 Step 3: Write the index form by combining these terms. The index form is 3^3 5^2 6^2 7^2 8^3. 3^3 5^2 6^2 7^2 8^3 18. 4 decreased by 50% is 2. Decrease 45000 FRS by 8%. Step 1: Calculate the amount of the decrease. Decrease amount = 8\% of 45000. Decrease amount = (8)/(100) × 45000 = 8 × 450 = 3600 FRS. Step 2: Subtract the decrease amount from the original amount. New amount = 45000 - 3600 = 41400 FRS. 41400 FRS 19. A rectangle measures 6m by 5m. Find its area. Step 1: Recall the formula for the area of a rectangle. Area = length × width. Step 2: Substitute the given dimensions. Length = 6m Width = 5m Step 3: Calculate the area. Area = 6m × 5m = 30m^2. 30m^2 20. There are 80 0.25s in 20. How many 0.25s are in 16? Step 1: To find how many times 0.25 is in 16, divide 16 by 0.25. Number of 0.25s = (16)/(0.25). Step 2: Convert the decimal to a fraction or multiply numerator and denominator by 100 to remove the decimal. 0.25 = (1)/(4). So, (16)/(0.25) = (16)/(1)4 = 16 × 4. Step 3: Perform the multiplication. 16 × 4 = 64. 64 3 done, 2 left today. You're making progress.