document.write( "Question 1102640: A person invested $17100 at 7.3% interest compounded quarterly. Estimate the number of years for the investment to double. \r
\n" ); document.write( "\n" ); document.write( "A) 23 B) 33 C) 10 D) 12
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Algebra.Com's Answer #717342 by greenestamps(13216)\"\" \"About 
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\n" ); document.write( "The amount invested is irrelevant.

\n" ); document.write( "Money earning 7.3% annual interest, compounded quarterly, will have a growth factor of \"1%2B.073%2F4=1.01825\" each quarter. To find the number of quarters it takes for the amount to double, we need to find how many times the growth factor must be applied to make the overall growth factor equal to 2:

\n" ); document.write( "\"1.01825%5En+=+2\"
\n" ); document.write( "\"n%2Alog%281.01825%29+=+log%282%29\"
\n" ); document.write( "\"n+=+log%282%29%2Flog%281.01825%29+=+38.326\"

\n" ); document.write( "It takes about 38.326 quarters, or 9.58 years, for the value of the investment to double.
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