SOLUTION: A depositor opens a new savings account with $6000 at 7% compounded semiannually. At the beginning of year ​5, an additional ​$5000 is deposited. At the end of six ​years, wh

Algebra ->  Equations -> SOLUTION: A depositor opens a new savings account with $6000 at 7% compounded semiannually. At the beginning of year ​5, an additional ​$5000 is deposited. At the end of six ​years, wh      Log On


   



Question 1176319: A depositor opens a new savings account with $6000 at 7% compounded semiannually. At the beginning of year ​5, an additional ​$5000 is deposited. At the end of six ​years, what is the balance in the​ account?
The balance in the account at the end of 6 years is ​$__.
​(Do not round until the final answer. Then round to the nearest cent as​ needed.)

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi
  In General A%28t%29+=+P%281%2Br%2Fn%29%5E%28nt%29
A = Accumulated Amount
P= principal = 
r= annual rate = .07
n= periods per year = 2
t= years =

 A%285%29=+6000%281%2B.07%2F2%29%5E%2810%29 = $8463.59

the 6th year: 13463.59%281%2B.07%2F2%29%5E%282%29 = 14422.53

Total after 6 years = $22,886.12

Wish You the Best in your Studies.