4000 x (1.0610) = $7163.39
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With compound interest - the balance after 7 years would be 26336.18
It is 3884.97 dollars.
(1 + .07/4)4x = 3 4x log(1+.07/4) = log(3) x = 0.25 log(3)/log(1.0175) = 15.83 The amount of the original investment doesn't matter. At 7% compounded quarterly, the value passes triple the original amount with the interest payment at the end of the 16th year.
6% compounded annually is equivalent to an annual rate of 12.36%. To increase, at 12.36% annually for 3 years, to 10000, the initial deposit must be 7049.61
$2275.28