Tambua vigezo vilivyotolewa.

Mathematics

ScanSolve AI Answer

Answer

Sh 33,100\text{Sh } \textbf{33,100}

Step-by-step solution

3 steps

1)
Huu ni swali kuhusu riba ya kiwanja. Fomula ya kiasi cha mwisho (AA) kwa riba ya kiwanja ni A=P(1+r)nA = P(1 + r)^n, ambapo PP ni kiasi cha awali, rr ni kiwango cha riba, na nn ni muda. Riba ya kiwanja (CICI) inapatikana kwa kutoa kiasi cha awali kutoka kiasi cha mwisho (CI=A−PCI = A - P).

  1. Tambua vigezo vilivyotolewa.

    Kiasi cha awali (PP) = Sh 100,000
    Kiwango cha riba (rr) = 10% p.a. = 10100=0.10\frac{10}{100} = 0.10
    Muda (nn) = miaka 3

  2. Kokotoa kiasi cha mwisho (AA) baada ya miaka 3.

    A=P(1+r)nA = P(1 + r)^n A=Sh 100,000(1+0.10)3A = \text{Sh } 100,000 (1 + 0.10)^3 A=Sh 100,000(1.1)3A = \text{Sh } 100,000 (1.1)^3 A=Sh 100,000×1.331A = \text{Sh } 100,000 \times 1.331 A=Sh 133,100A = \text{Sh } 133,100
  3. Kokotoa riba ya kiwanja (CICI).

    CI=A−PCI = A - P CI=Sh 133,100−Sh 100,000CI = \text{Sh } 133,100 - \text{Sh } 100,000 CI=Sh 33,100CI = \text{Sh } 33,100

    Riba ya kiwanja ni Sh 33,100\text{Sh } \textbf{33,100}.

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