Evaluate

Problem

ln(2)/(12*ln(1+0.04/12))

Solution

1. Simplify the expression inside the natural logarithm in the denominator by performing the division and addition.

0.04/12=1/300

1+1/300=301/300

2. Substitute the simplified value back into the original expression.

ln(2)/(12*ln(301/300))

3. Calculate the numerical value of the natural logarithms.

ln(2)≈0.693147

ln(301/300)≈0.003328

4. Multiply the denominator's constant by the result of the natural logarithm.

12×0.003328≈0.039933

5. Divide the numerator by the denominator to find the final decimal approximation.

0.693147/0.039933≈17.3575

Final Answer

ln(2)/(12*ln(1+0.04/12))≈17.3575

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