SOLUTION: <pre>Find the accumulated interest of an investment of $17,000 at 6% compounded semiannually for 6 years. Thanks</pre>

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Question 79108:
Find the accumulated interest of an investment of
$17,000 at 6% compounded semiannually for 6 years. 
Thanks

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
Find the accumulated intrest of an investment of
$17,000 at 6% compounded semiannually for 6 years. 
Thanks


First we find the value of the investment at the end of 6 years:

A+=+P%281+%2B+r%2Fn%29%5E%28nt%29

where P = 17000, r = .06, n = 2, t = 6
(we use n = 2 because "semianually" means "2 times a year")

A+=+%2817000%29%281+%2B+.06%2F2%29%5E%282%286%29%29+

A+=+%2817000%29%281+%2B+.03%29%5E%2812%29+

A+=+%2817000%29%281.03%29%5E%2812%29+

A+=+24237.93508

We round that DOWN to $24,237.93 even though the
ordinary rule is to round up when the first
discarded decimal is 5 or more.  Banks always
round down to the lower penny when they are the 
ones paying out the money, (and of course they 
round UP to the next higher penny when you are 
one paying them a fee!)

Now the problem asks just for the interest earned,
so we must subtract the original $17,000 to find
how much interest was added:

$24,237.93 - $17,000 = $7,237.93

Edwin