$4,000 is deposited in a savings account that pays 8% annual interest compounded semiannually. To the nearest dollar, how much is in the account at the end of the year?  Choose the most appropriate option: A) $4326.40 B) $4116.20 C) $4256.21 D) $4316.54 E) $4312.45
this is the case of semi-annual compoundingso, multiply time period by 2 and divide rate by 2   So,   new time=2periods and new rate=8/2= 
<gadget id="calculator">8/2</gadget>
<output>4</output>
4%   Now,   C$4326.40=4000(1+4/100)^2=$4326.40   Hence answer is $4326.40
<result>A</result>
$4,000 is deposited in a savings account that pays 8% annual interest compounded semiannually. To the nearest dollar, how much is in the account at the end of the year?