Lucy deposited $31250 in an investment fund that provided 16 percent annual return compounded quarterly. If she made no other transactions with the fund, in how much time, in months, did her investment earn a total interest of $2550?	Choose the correct choice from the following options:	A) 0.5	B) 2	C) 12/4	D) 12/2	E) 6.1
A = P + I = 31250 + 2550= 
<gadget id="calculator">31250 + 2550</gadget>
<output>33_800</output>
33800   33800= 31250(1 + 16/4*100)^(4t)   (676/625) = (104/100)^(4t)   (26/25)^2 = (26/25)^4t   t = 1/2 yrs = 12/2 months   Answer: 12/2
<result>D</result>
Lucy deposited $31250 in an investment fund that provided 16 percent annual return compounded quarterly. If she made no other transactions with the fund, in how much time, in months, did her investment earn a total interest of $2550?