Q$38.$ You deposited $$2,000$ in a bank account paying $6\%$ on January $1,2004,$ and then you made

$$2,000$ deposits on January $1$ in $2005$ and $2006.$ Which of the following expressions will calculate

your bank balance just after the last payment was deposited?

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a $FV=$$$2,000[1\mathrm{.}06{]}^{-1}+$$$2,000[1\mathrm{.}06{]}^{-2}+$$$2,000[1\mathrm{.}06{]}^{-3}$

b $,FV=$$$2,000[1\mathrm{.}06{]}^1+$$$2,000[1\mathrm{.}06{]}^2+$$$2,000[1\mathrm{.}06{]}^3$

c $FV=$$$2,000[1\mathrm{.}06{]}^0+$$$2,000[1\mathrm{.}06{]}^1+$$$2,000[1\mathrm{.}06{]}^2$

d $FV=$$$2,000[1\mathrm{.}06{]}^0+$$$2,000[1\mathrm{.}06{]}^{-1}+$$$2,000[1\mathrm{.}06{]}^{-2}$