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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Haya Irene, twende na swali la kwanza. 1. Sagini deposited 500,000 shillings in a bank. If the money appreciates by 6% per annum, how much will be in the account after 2 years? Hili ni swali la riba ya kiwanja (compound interest) au ukuaji wa thamani (appreciation). Tunatumia formula: A = P(1 + (R)/(100))^n Ambapo: A = Kiasi cha pesa baada ya miaka n P = Kiasi cha awali (Principal amount) = sh 500,000 R = Kiwango cha ukuaji (Rate of appreciation) = 6% n = Idadi ya miaka = 2 Step 1: Badilisha thamani kwenye formula. A = 500,000(1 + (6)/(100))^2 Step 2: Rahisisha ndani ya mabano. A = 500,000(1 + 0.06)^2 A = 500,000(1.06)^2 Step 3: Kokotoa (1.06)^2. (1.06)^2 = 1.06 × 1.06 = 1.1236 Step 4: Zidisha na kiasi cha awali. A = 500,000 × 1.1236 A = 561,800 Kiasi kitakachokuwa kwenye akaunti baada ya miaka 2 ni: sh \ 561,800 That's 2 down. 3 left today — send the next one.