SOLUTION: At the time of her​ grandson's birth, a grandmother deposits $ 11,000 $11,000 in an account that pays 6 % 6% compounded monthly. What will be the value of the account at th

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: At the time of her​ grandson's birth, a grandmother deposits $ 11,000 $11,000 in an account that pays 6 % 6% compounded monthly. What will be the value of the account at th      Log On

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Question 1210581: At the time of her​ grandson's birth, a grandmother deposits
$ 11,000
$11,000 in an account that pays
6 %
6% compounded monthly. What will be the value of the account at the​ child's twenty-first​ birthday, assuming that no other deposits or withdrawals are made during this​ period?
The value of the account will be $?

Found 2 solutions by timofer, ikleyn:
Answer by timofer(155) About Me  (Show Source):
You can put this solution on YOUR website!
Monthly, twelve periods per year

11000%281%2B0.06%2F12%29%5E%2812%2A23%29, balance after 23 years

43573

Answer by ikleyn(53742) About Me  (Show Source):
You can put this solution on YOUR website!
.
Money_Word_Problems/1210581: At the time of her​ grandson's birth, a grandmother deposits
$ 11,000
$11,000 in an account that pays
6 %
6% compounded monthly. What will be the value of the account at the​ child's twenty-first​ birthday,
assuming that no other deposits or withdrawals are made during this​ period?
The value of the account will be $?
~~~~~~~~~~~~~~~~~~~~~~~~~~


First birthday is after 1 year from the day of the birth.

Second birthday is after 2 years from the day of the birth.

 . . . . . . . .

21-th birthday is after 21 year from the day of the birth.



So, the question is about the Future value of the deposit after 21 year.

The formula to calculate is

    FV = 11000%2A%281+%2B+0.06%2F12%29%5E%2821%2A12%29 = 38658.08  dollars  (rounded).


ANSWER.  Future value at the twenty-first birthday will be 38,658.08 dollars.

Solved.