Marcus deposited $8,000 to open a new savings account that earned five percent annual interest, compounded semi-annually. If there were no other transactions in the account, what the amount of money in Marcuss account one year after the account was opened? Choose one.
A) $8,200 B) $8,205 C) $8,400 D) $8,405 E) $8,500
Approach #1:   5 percent annual interest compounded semi-annually --&gt; 2.5% in 6 moths.   For the first 6 moths interest was 2.5% of $8,000, so $200;   For the next 6 moths interest was 2.5% of $8,000, plus 2.5% earned on previous interest of $200, so $200+$5=$205;   Total interest for one year was $200+$205  200+ 5= 
<gadget id="calculator">  200+ 5</gadget>
<output>205</output>
$205;   Total interest for one year was $200+$205=$405, hence balance after one year was $8,000+ $405 200+ 205= 
<gadget id="calculator"> 200+ 205</gadget>
<output>405</output>
$405, hence balance after one year was $8,000+ $405=$8,405.   Answer: $8,405.
<result>D</result>
Marcus deposited $8,000 to open a new savings account that earned five percent annual interest, compounded semi-annually. If there were no other transactions in the account, what the amount of money in Marcuss account one year after the account was opened?