Alan has split his savings equally into two accounts. The first one is a simple interest savings account with 22% annual interest and the other is a savings account with r% annual compound interest. If both accounts have the same balance after two years, what is the value of r? Choose the correct choice from the following answers.
A) 11
B) 14.25
C) 18.5
D) 20
E) Cannot be determined
Let the amounts deposited on both accounts be $100.   Then we'd have that 100+100∗0.22+100∗0.22=100(1+r)2100+100∗0.22+100∗0.22=100(1+r)2 --&gt; 144=100(1+r)2144=100(1+r)2 --&gt; (1+r)2=1.44(1+r)2=1.44 --&gt; 1+r=1.21+r=1.2 --&gt; r=0.2   Answer is 20
<result>D</result>
Alan has split his savings equally into two accounts. The first one is a simple interest savings account with 22% annual interest and the other is a savings account with r% annual compound interest. If both accounts have the same balance after two years, what is the value of r?