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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Answer
sh 200,000
Hebu tutafute kiasi cha pesa alichochukua Matika kwa kutumia fomula ya faida rahisi.
Step 1: Andika taarifa ulizopewa.
Step 2: Badilisha kiwango cha riba na muda ili viwe katika vitengo vinavyofanana. Kiwango cha riba (R) = 7.5/100 Muda (T) = 9 miezi. Ili kubadilisha kuwa miaka, tunagawanya kwa 12: T = 9/12 mwaka = 3/4 mwaka
Step 3: Tumia fomula ya faida rahisi (Simple Interest, I). I = (P × R × T)
Step 4: Badilisha namba kwenye fomula na ufanye hesabu. I = 200,000 sh × (7.5/100) × (9/12) I = 200,000 sh × 0.075 × 0.75 I = 15,000 sh × 0.75 I = 11,250 sh
Step 5: Tafuta jumla ya pesa aliyochukua (Kiasi cha awali + Faida). Jumla ya pesa = P + I Jumla ya pesa = 200,000 sh + 11,250 sh Jumla ya pesa = 211,250 sh
Kwa hivyo, Matika alichukua jumla ya sh 211,250.
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Hebu tutafute kiasi cha pesa alichochukua Matika kwa kutumia fomula ya faida rahisi.
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.