A company recently expanded their assembly operations at a cost of $\$ 420,000$. Management expects that the investment will grow at a rate of $14 \%$ per year compounded annually for the next 5 years. Find the future value of the investment. Then find the present value of that amount at a rate of $6 \%$ per year compounded annually. Click here to virw periods 1-25 of the present value of a dollar table. Click here to view periods $26-49$ of the present value of a dollar table. Click here to view the compound interest table. What is the future value of the investment? 5 (Round to the nearest cent as noeded)

Step 1 ：Given that the present value PV is $420,000, the annual interest rate r is 14% or 0.14, the number of times interest is compounded per year n is 1 (since it's compounded annually), and the number of years t is 5.

Step 2 ：The future value of an investment can be calculated using the formula for compound interest, which is: \(FV = PV * (1 + r/n)^{nt}\)

Step 3 ：Substitute the given values into the formula to find the future value of the investment: \(FV = 420000 * (1 + 0.14/1)^{1*5}\)

Step 4 ：The future value of the investment after 5 years, compounded annually at a rate of 14%, is approximately $808,674.12. This is the amount that the investment will grow to after 5 years.

Step 5 ：Final Answer: The future value of the investment is approximately \(\boxed{\$808,674.12}\)