Answer:
After 5 years, the investment should grow to $407,223
Explanation:
the future value earned on a certain amount compounded semi-annually for a number of years is given by the formula:
[tex]FV = PV(1+ \frac{r}{n} )^{nt}\\Where:\\FV = Future\ value\ =\ ??\\PV = Present\ Value\ =\ $250,000\\r = Interest\ rate\ =\ 10\% =\ 0.1\\n = number\ of\ compounding\ per\ year\ = semiannually\ =\ 2\\t = number\ of\ years\ =\ 5[/tex]
[tex]FV = 250,000(1+ \frac{0.1}{2} )^{(2\times5)}\\FV\ = 250,000(1.05)^{10}\\FV\ = 250,000(1.62889)\\FV\ = \$407,223.65[/tex]
Therefore, after 5 years, the investment should grow to $407,223
