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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?

Mathematics

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Answer

sh 561,800\mathbf{sh \ 561,800}

Step-by-step solution

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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+R100)nA = P\left(1 + \frac{R}{100}\right)^n

Ambapo:
AA = Kiasi cha pesa baada ya miaka nn
PP = Kiasi cha awali (Principal amount) = sh 500,000
RR = Kiwango cha ukuaji (Rate of appreciation) = 6%
nn = Idadi ya miaka = 2

  1. Badilisha thamani kwenye formula.

    A=500,000(1+6100)2A = 500,000\left(1 + \frac{6}{100}\right)^2
  2. Rahisisha ndani ya mabano.

    A=500,000(1+0.06)2A = 500,000(1 + 0.06)^2 A=500,000(1.06)2A = 500,000(1.06)^2
  3. Kokotoa (1.06)2(1.06)^2.

    (1.06)2=1.06×1.06=1.1236(1.06)^2 = 1.06 \times 1.06 = 1.1236
  4. Zidisha na kiasi cha awali.

    A=500,000×1.1236A = 500,000 \times 1.1236 A=561,800A = 561,800

    Kiasi kitakachokuwa kwenye akaunti baada ya miaka 2 ni:

    sh 561,800\mathbf{sh \ 561,800}
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