Posted by Diane on .
Roiger made deposits of $900 semiannually to the bank, which pays 6% interest compounded semiannually. After 7 yrs., he makes no more deposits. What would be the balance in the account 8 yrs. later from the last deposit?

Math 
Reiny,
Didn't you ask the same question on Tuesday ?
http://www.jiskha.com/display.cgi?id=1312312482 
Math 
Diane,
"Yes but the answer didn't make sense and in fact, was not what my professor was looking for.

Math 
Reiny,
You are right, after I read it more carefully, one tiny change has to be made
Instead of
Amount at the last deposit
= 900[ 1.03^14  1]/.03 = 15377.69
Value at the end of 8 years = 15377.69(1.03)^2 = 16314.19
change it to:
Amount at the last deposit
= 900[ 1.03^14  1]/.03 = 15377.69
Value 8 years after last deposit = 15377.69(1.03)^16 = 24676.68
Notice I changed the exponent of 2 in the last line to 16
I had it as 8 years from now, instead of 8 years after the last deposit. 
Math 
Diane,
Thank you I believe that's what I got and now it makes sense. Thanks