Math  /  Algebra

QuestionWhich of the two annual interest rates would yield the larger amount in 1 year? 12%12 \% compounded monthly or 1212%12 \frac{1}{2} \% compounded annually
Select the correct choice and fill in the answer box to complete your choice. (Do not round until the final answer. Then round to three decimal places as needed.) A. The effective interest rate for 12%12 \% compounded monthly is \square %\% which would yield the larger amount in 1 year. B. The effective interest rate for 1212%12 \frac{1}{2} \% compounded annually is \square \% which would yield the larger amount in 1 year.

Studdy Solution
Compare the two effective annual rates:
- 12%12\% compounded monthly yields an effective rate of 12.6825%12.6825\%. - 12.5%12.5\% compounded annually yields an effective rate of 12.5%12.5\%.
Since 12.6825%12.6825\% is greater than 12.5%12.5\%, the 12%12\% compounded monthly yields the larger amount in 1 year.
The correct choice is:
A. The effective interest rate for 12%12\% compounded monthly is 12.683%12.683\% which would yield the larger amount in 1 year.

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