Amishi deposited $$ \$ 800 $$, at the end of each six months for 18 years in a savings account. If the account paid $$ 8 \% $$ interest, compounded semiannually, use the appropriate formula to find the future value of her account. ((Round your answer to the nearest cent.)

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$$
\textbf{Step 1: Identify the parameters.}
$$
- Regular deposit (payment), $$ R = \$800 $$.
- Annual interest rate, $$ 8\% $$.
- Since interest is compounded semiannually, the interest rate per period is
$$
r = \frac{8\%}{2} = 4\% = 0.04.
$$
- Total time is 18 years and there are 2 periods per year, so the total number of periods is
$$
n = 18 \times 2 = 36.
$$

$$
\textbf{Step 2: Write the Future Value of an Annuity formula.}
$$
The formula for the future value of an annuity is
$$
FV = R \times \frac{(1+r)^n - 1}{r}.
$$

$$
\textbf{Step 3: Substitute the values into the formula.}
$$
$$
FV = 800 \times \frac{(1.04)^{36} - 1}{0.04}.
$$

$$
\textbf{Step 4: Compute }(1.04)^{36}.
$$
Using a calculator,
$$
(1.04)^{36} \approx 4.1015.
$$

$$
\textbf{Step 5: Continue the calculation.}
$$
Subtract 1:
$$
4.1015 - 1 = 3.1015.
$$
Divide by $$ 0.04 $$:
$$
\frac{3.1015}{0.04} \approx 77.5375.
$$
Multiply by $$ 800 $$:
$$
FV \approx 800 \times 77.5375 \approx 62030.00.
$$

$$
\textbf{Final Answer:} \quad FV \approx \$62,\!030.00.
$$
The future value of Amishi's account is approximately \$62,030.00.

Amishi deposited , at the end of each six months for 18 years in a
savings account. If the account paid interest, compounded semiannually,
use the appropriate formula to find the future value of her account.
((Round your answer to the nearest cent.)

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Amishi deposited , at the end of each six months for 18 years in a savings account. If the account paid interest, compounded semiannually, use the appropriate formula to find the future value of her account. ((Round your answer to the nearest cent.)