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Calculate the amount at the end of two years when an investor invested sh400000 at 10% per annum simple interest.

Mathematics

ScanSolve AI Answer

Answer

sh 4,800,000\text{sh } 4,800,000

Step-by-step solution

2 steps

Huu hapa ni ukokotozi wa kiasi mwishoni mwa miaka miwili:

  • Kiasi cha awali (Principal, P) = sh 4,000,000
  • Kiwango cha riba (Rate, R) = 10% kwa mwaka = 10100=0.10\frac{10}{100} = 0.10
  • Muda (Time, T) = miaka 2
  1. Kokotoa riba rahisi (Simple Interest, I).

    Tumia fomula ya riba rahisi: I=P×R×TI = P \times R \times T

    I=4,000,000×0.10×2I = 4,000,000 \times 0.10 \times 2 I=400,000×2I = 400,000 \times 2 I=sh 800,000I = \text{sh } 800,000
  2. Kokotoa jumla ya kiasi (Total Amount, A) mwishoni mwa miaka miwili.

    Jumla ya kiasi ni kiasi cha awali pamoja na riba: A=P+IA = P + I

    A=4,000,000+800,000A = 4,000,000 + 800,000 A=sh 4,800,000A = \text{sh } 4,800,000

    Jumla ya kiasi mwishoni mwa miaka miwili ni sh 4,800,000\text{sh } 4,800,000.

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