Jolene entered an 18-month investment contract that guarantees to pay 2 percent interest at the end of 6 months, another 3 percent interest at the end of 12 months, and 4 percent interest at the end of the 18 month contract. If each interest payment is reinvested in the contract, and Jolene invested $10,000 initially, what will be the total amount of interest paid during the 18-month contract?	Choose the correct option:  A) $506.00  B) $726.24  C) $900.00  D) $920.24  E) $926.24
If interest were not compounded in every six months (so if interest were not earned on interest) then we would have   (2+3+4)= 
<gadget id="calculator">  (2+3+4)</gadget>
<output>9</output>
9% simple interest earned on $10,000, which is $900. So, you can rule out A, B and C right away.   Interest earned after the first time interval: $10,000*2%=$200;   Interest earned after the second time interval: ($10,000+$200)*3%=$300+$6=$306;   Interest earned after the third time interval: ($10,000+$200+$306)*4%300+ 6= 
<gadget id="calculator">300+ 6</gadget>
<output>306</output>
$306;   Interest earned after the third time interval: ($10,000+$200+$306)*4%=$400+$8+(~$12)=~$420;   Total: 200+306+(~420)400+ 8+(  12)= 
<gadget id="calculator">400+ 8+(  12)</gadget>
<output>420</output>
~$420;   Total: 200+306+(~420)=~$926.   Answer: $926.24.  200+306+( 420)= 
<gadget id="calculator">  200+306+( 420)</gadget>
<output>926</output>
~$926.   Answer: $926.24.
<result>E</result>
Jolene entered an 18-month investment contract that guarantees to pay 2 percent interest at the end of 6 months, another 3 percent interest at the end of 12 months, and 4 percent interest at the end of the 18 month contract. If each interest payment is reinvested in the contract, and Jolene invested $10,000 initially, what will be the total amount of interest paid during the 18-month contract?