Alex deposited x dollars into a new account that earned 5 percent annual interest, compounded annually. One year later Alex deposited an additional x dollars into the account. If there were no other transactions and if the account contained w dollars at the end of two years, which of the following expresses x in terms of w ?	Choose the correct option:	A) w/(1+1.08)	B) w/(1.05+1.05^2)	C) w/(1.16+1.24)	D) w/(1.08+1.16)	E) w/(1.08^2+1.08^2)
Account at the end of the first year would be 1.05x dollars. At this time x dollars was deposited, hence the account at the beginning of the second year would be (1.05x+x) dollars. Account at the end of the second year would be (1.05x+x)*1.05=w --&gt; x(1.05^2+1.05)=w --&gt; x=w/(1.05+1.05^2).   Answer: w/(1.05+1.05^2)
<result>B</result>
Alex deposited x dollars into a new account that earned 5 percent annual interest, compounded annually. One year later Alex deposited an additional x dollars into the account. If there were no other transactions and if the account contained w dollars at the end of two years, which of the following expresses x in terms of w ?