Find the amount necessary to fund the given withdrawals.
Semiannual withdrawals of $\$ 750$ for 6 years; interest rate is $4.7 \%$ compounded semiannually.

The amount necessary to fund the given withdrawals is

Step 1 ：Given that the semiannual withdrawals are $750 for 6 years and the interest rate is 4.7% compounded semiannually, we are asked to find the present value of an annuity due.

Step 2 ：The formula for the present value of an annuity due is: \(PV = P \times [(1 - (1 + r)^{-n}) / r] \times (1 + r)\), where PV is the present value, P is the payment per period, r is the interest rate per period, and n is the number of periods.

Step 3 ：In this case, P = $750, r = 4.7% / 2 / 100 = 0.0235 (since the interest rate is compounded semiannually), and n = 6 * 2 = 12 (since there are 2 periods per year for 6 years).

Step 4 ：Substituting these values into the formula, we get: \(PV = 750 \times [(1 - (1 + 0.0235)^{-12}) / 0.0235] \times (1 + 0.0235)\)

Step 5 ：Solving the above expression, we find that the present value PV = 7946.110664408083

Step 6 ：Rounding to the nearest cent, the amount necessary to fund the given withdrawals is \(\boxed{7946.11}\)