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Calculate the interest rate (r) using the compound interest formula, given P=M2,000, FV=M2,721, and t=4 years.

Mathematics

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Question 2:

Step 1: Identify the given values.
Present Value (PP) = M2,000
Future Value (FVFV) = M2,721
Time (tt) = 4 years

Step 2: Use the compound interest formula and substitute the values.

FV=P(1+r)tFV = P(1 + r)^t M2,721=M2,000(1+r)4M2,721 = M2,000(1 + r)^4

Step 3: Isolate (1+r)4(1 + r)^4.

M2,721M2,000=(1+r)4\frac{M2,721}{M2,000} = (1 + r)^4 1.3605=(1+r)41.3605 = (1 + r)^4

Step 4: Take the 4th root of both sides to find (1+r)(1 + r).

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