This chemistry question involves key chemical concepts and calculations. The detailed solution below walks through each step, from identifying the reaction type to computing the final answer.
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Answer
P(1 + r)ⁿ
Step 1: Write down the formula for compound interest. A = P(1 + r)ⁿ Where: A = Final amount P = Principal amount r = Annual interest rate (as a decimal) n = Number of years
Step 2: Substitute the given values into the formula. A = R2721 P = R2000 n = 4 years
2721 = 2000(1 + r)⁴
Step 3: Isolate the term (1 + r)⁴. 2721 / 2000 = (1 + r)⁴ 1.3605 = (1 + r)⁴
Step 4: Take the 4th root of both sides to solve for (1 + r). ⁴√(1.3605) = 1 + r 1.0800 = 1 + r (rounded to 4 decimal places)
Step 5: Solve for r. r = 1.0800 - 1 r = 0.0800
Step 6: Convert the decimal rate to a percentage. Rate = 0.0800 × 100% Rate = 8%
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Write down the formula for compound interest. A = P(1 + r)ⁿ Where: A = Final amount P = Principal amount r = Annual interest rate (as a decimal) n = Number of years Step 2: Substitute the given values into the formula.
This chemistry question involves key chemical concepts and calculations. The detailed solution below walks through each step, from identifying the reaction type to computing the final answer.