find the amount and the compound interest on 2000 in 2 years if the rate is 4% for the first year and 3% for the second year
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Answer:
A1 = 1.04 * A0 where A1 is the amount after 1 year
A2 = 1.03 * A1 = 1.03 * 1.04 * A0 where is amount after 2 years
A2 = 2000 * 1.03 * 1.04 = 2142.4 compounded amount
A2 = A0 (1 + i)^2 where i would be the effective compound interest
(1 + i)^2 = 2142.4 / 2000 = 1.0712
1 + i = 1.035
So i = 3.5 %
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