Hi Kelli!
Ok this problem involves something called the Annuity Due Payment, and there is a standard formula for solving this type of problem:
Pmt=PV * ( r / ( 1-(1+r)^{-n} ) ) * 1/(1+r)
where Pmt is the annual payment ($6,000.00 in this case), PV is the present value, or the amount deposited today, r is the interest rate per period (6%), and n is the number of periods (10). So, we have to plug a few things in:
$6,000 = PV * ( 0.06 / (1-1.06^{-10}) ) * 1/1.06
Multiplying out the right hand side gives us
$6,000 = PV * 0.128177319
Dividing both sides by 0.128177319 yields
PV = $46,810.15
To illustrate what happens to this money, I will write a quick table for you:
n PV PV-6,000
1 46,810.15 40,810.15
2 43,258.76 37,258.76
3 39,494.28 33,494.28
4 35,503.94 29,503.94
5 31,274.18 25,274.18
6 26,790.63 20,790.63
7 22,038.07 16,038.07
8 17,000.35 11,000.35
9 11,660.37 5,660.37
10 5,999.99 0.00
In the table above, for n = 2 and greater, PV was calculated by adding interest of 1.06X from the remaining balance from the previous period after the withdraw of $6,000.00 was made.