Question

Betty makes daily deposits of $5.82 into a savings account. If the account has an annual...

Betty makes daily deposits of $5.82 into a savings account. If the account has an annual rate of 2%, how much interest will she earn after 765 days? The correct answer is 96, but I'm not sure why. Could someone explain this?

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Answer #1

=Future Value-Total Deposits
=Daily Amount/(rate/365)*((1+rate/365)^days-1)-Daily Amount*days
=5.82/(2%/365)*((1+2%/365)^765-1)-5.82*765
=94.50576791

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