Lucy deposited $62500 in an investment fund that provided 22 percent annual return compounded quarterly. If she made no other transactions with the fund, in how much time, in years, did her investment earn a total interest of $5100?  Choose the correct choice from the following:
A) 1/2
B) 1/7
C) 3
D) 6
E) 6.1
A = P + I = 62500 + 5100= 
<gadget id="calculator">62500 + 5100</gadget>
<output>67_600</output>
67600   67600= 62500(1 + 22/4*100)^(4t)   t = 1/7 yrs   Answer: 1/7
<result>B</result>
Lucy deposited $62500 in an investment fund that provided 22 percent annual return compounded quarterly. If she made no other transactions with the fund, in how much time, in years, did her investment earn a total interest of $5100?