An investment of $$$$4664\mathrm{.}35$ earns interest at $6\mathrm{.}5\%$ per annum compounded annually for $3$ years. At that time the interest rate is changed to $3\mathrm{.}8\%$ compounded semi d ash annually. How much will the accumulated value be $3\mathrm{.}5$ years after the$$ change? The accumulated value is $$$

$($Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as$$ needed.$)$ For compound$$ interest, the formula for the future$$ value, FV$,$ is given$$ below, where PV is the original$$ principal, i is the periodic rate of$$ interest, and n is the number of compounding periods for the term of the loan or investment.

FVequalsPV left parenthesis $1$ plus i right parenthesis Superscript n

The periodic rate of$$ interest, i$,$ can be found using the formula shown$$ below, where j is the nominal annual rate of interest and m is the number of compounding$($conversion$)$ periods per year.

iequalsStartFraction j Over m EndFraction

Use the future value formula in two steps. Start by finding the future value at the end of the first time period.$$ Then, using that result as the present$$ value, find the future value at the end of the second time period.