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Lucy deposits $1000 into a savings account at time 0, which pays interest at an annual nominal rate of r. compounded quarterly. Sam deposits $1500

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Lucy deposits $1000 into a savings account at time 0, which pays interest at an annual nominal rate of r. compounded quarterly. Sam deposits $1500 into a different savings account at time 0, which pays simple interest at an annual rate of r. Lucy and Sam earn the same amount of interest during the first 3 months of the 5th year. Calculate r. (4 decimals, e.g., 0.0532 or 5.32%)

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