document.write( "Question 301425: How long does it take $1,150 to double if it is invested at 9% interest compounded monthly? Round your answer to the nearest tenth. \n" ); document.write( "
Algebra.Com's Answer #216150 by nerdybill(7384)\"\" \"About 
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How long does it take $1,150 to double if it is invested at 9% interest compounded monthly? Round your answer to the nearest tenth.
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\n" ); document.write( "Compound interest formula:
\n" ); document.write( "Regular Compound Interest Formula\r
\n" ); document.write( "\n" ); document.write( "\"A+=+P%281%2Br%2Fn%29%5E%28nt%29\"
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\n" ); document.write( "P = principal amount (the initial amount you borrow or deposit)
\n" ); document.write( "r = annual rate of interest (as a decimal)
\n" ); document.write( "t = number of years the amount is deposited or borrowed for.
\n" ); document.write( "A = amount of money accumulated after n years, including interest.
\n" ); document.write( "n = number of times the interest is compounded per year
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\n" ); document.write( "\"2%281150%29+=+1150%281%2B.09%2F12%29%5E%2812t%29\"
\n" ); document.write( "\"2+=+%281%2B.09%2F12%29%5E%2812t%29\"
\n" ); document.write( "\"2+=+%281.0075%29%5E%2812t%29\"
\n" ); document.write( "\"log%281.0075%2C2%29+=+12t+\"
\n" ); document.write( "\"log%282%29%2Flog%281.0075%29+=+12t+\"
\n" ); document.write( "\"%28log%282%29%2Flog%281.0075%29%29%2F12+=+t+\"
\n" ); document.write( "7.7 years = t
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