Edward invested five-ninths of his money at an annual rate of 2r% compounded semi-annually, and the remaining money at an annual rate of r% compounded annually. If after one year, Edward’s money had grown by one-thirds, the value of r is equal to which of the following?  Choose the correct choice from the following options:
A) 10% B) 15% C) 20% D) 25% E) 33%
X=Amount invested   5/9*X*(1+2r/2)^2+4/9*X*(1+r)=4/3X   Set X = 9 because we can pick any value   5*(1+r)^2+4(1+r)=12   5r^2+14r-3=0   Here you can use the formula for roots of a quadratic, but it is faster to guess and check using the answers   5*(1/5)^2+14(1/5)-3=5*(1/25)+14/5-3=1/5+14/5-3= 
<gadget id="calculator">1/5+14/5-3</gadget>
<output>0</output>
0   ANSWER:20%
<result>C</result>
Edward invested five-ninths of his money at an annual rate of 2r% compounded semi-annually, and the remaining money at an annual rate of r% compounded annually. If after one year, Edward’s money had grown by one-thirds, the value of r is equal to which of the following?