Modal sebesar Rp 1.000.000,00 diinvestasikan dengan suku bunga majemuk 10 % per tahun selama 3 tahun. Jumlah uang tersebut setelah 3 tahun adalah …. A. Rp 1.020.100,00 B. Rp 1.030.301,00 C. Rp 1.210.000,00 D. Rp 1.331.000,00 E. Rp 1.464.100,00

Mathematics

ScanSolve AI Answer

Step-by-step solution

4 steps

  1. Identify the given values for the compound interest calculation.

    The principal amount (PP) is Rp 1,000,000.
    The annual interest rate (rr) is 10%, which is 0.10 in decimal form.
    The number of years (nn) is 3.

  2. Use the compound interest formula.

    The formula for the future value (AA) with compound interest is:

    A=P(1+r)nA = P(1 + r)^n

  3. Substitute the values into the formula and calculate.

    A=1,000,000(1+0.10)3A = 1,000,000(1 + 0.10)^3 A=1,000,000(1.10)3A = 1,000,000(1.10)^3

    First, calculate (1.10)3(1.10)^3:

    (1.10)2=1.21(1.10)^2 = 1.21 (1.10)3=1.21×1.10=1.331(1.10)^3 = 1.21 \times 1.10 = 1.331

    Now, multiply by the principal:

    A=1,000,000×1.331A = 1,000,000 \times 1.331 A=1,331,000A = 1,331,000

  4. Compare the result with the given options.

    The calculated amount after 3 years is Rp 1,331,000.00, which matches option D.

    The final answer is D. Rp 1.331.000,00\boxed{\text{D. Rp 1.331.000,00}}.

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