Lee Holmes deposited $16,600 in a new savings account at 9% interest compounded semiannually. At the beginning of year 4, Lee deposits an additional $41,600 at 9% interest compounded semiannually.

Question

Lee Holmes deposited $16,600 in a new savings account at 9% interest compounded semiannually. At the beginning of year 4, Lee deposits an additional $41,600 at 9% interest compounded semiannually.
   
At the end of year 6, what is the balance in Lee’s account?
 I have tried and I got $44691.78 but that is incorrect.  I solved each part separately then added the what he deposited.  PLEASE HELP ME!!

Steve · Answer

It's not quite clear from the language, but it appears that after 3 years, an additional deposit was made, and then the current balance is left to draw 9% interest for two more years. If that's the case, then

to start: 16600
at the end of year 3, he has 16600*1.045^6 = 21617.52

Add 41600 = 63217.52

After two more years, 63217.52*1.045^4 = 75388.07

Steve · Answer

Oops. That just takes us 5 years. 63217.52*1.045^6 = 82325.66

Reiny · Answer

Make a time graph to see how the periods work amount = 16600(1.045)^12 + 41600(1.045)^6 = 82 325.65

Lydia · Answer

Thannk you both of you but both answers are incorrect. I can input the answer to see if it is right and both are wrong. We are all missing something. If anyone else wants to try please do!!!