Calculate the compound interest on 7400 naira for 4yeats at 6%

Chemistry

ScanSolve AI Answer

Answer

1942.33 naira\text{1942.33 naira}

Step-by-step solution

3 steps
  1. Identify the given values.

    Principal (PP) = 7400 naira
    Time (tt) = 4 years
    Annual interest rate (rr) = 6% = 0.06

  2. Use the compound interest formula to find the total amount (AA).

    The formula for the amount with compound interest is:

    A=P(1+r)tA = P(1 + r)^t

    Substitute the given values:

    A=7400(1+0.06)4A = 7400(1 + 0.06)^4 A=7400(1.06)4A = 7400(1.06)^4

    Calculate (1.06)4(1.06)^4:

    (1.06)4≈1.26247696(1.06)^4 \approx 1.26247696

    Now, calculate AA:

    A=7400×1.26247696A = 7400 \times 1.26247696 A≈9342.33A \approx 9342.33

    So, the total amount after 4 years is approximately 9342.33 naira.

  3. Calculate the compound interest (CICI).

    Compound Interest (CICI) is the total amount minus the principal:

    CI=A−PCI = A - P CI=9342.33−7400CI = 9342.33 - 7400 CI=1942.33CI = 1942.33

    The compound interest is 1942.33 naira\text{1942.33 naira}.

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