SOLUTION: 2. At the time of her grandson's birth, a grandmother deposits $ 1000 in an account that pays 8.5% compounded quarterly. What will be the value of the account at the child's twenty

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Question 1165868: 2. At the time of her grandson's birth, a grandmother deposits $ 1000 in an account that pays 8.5% compounded quarterly. 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?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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2. At the time of her grandson's birth, a grandmother deposits $ 1000 in an account that pays 8.5% compounded quarterly.
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 compound interest formula
A+=+Ao%2A%281%2B%28r%2Fn%29%29%5E%28n%2At%29 where
A = amt after t time
Ao = initial amt ($1000)
r = interest rate in decimal form (.085)
n = compound period per year (4)
t = time in years (21)
:
A+=+1000%2A%281%2B%28.085%2F4%29%29%5E%284%2A21%29
A+=+1000%2A%281.02125%29%5E84
A = 1000 * 5.84916458
A = $5,849.16