document.write( "Question 923482: Can you help me with this question please?\r
\n" ); document.write( "\n" ); document.write( "How many years will it take $5000 to grow to $8000 if the investment is at 6.5% and is compounded quarterly? \r
\n" ); document.write( "\n" ); document.write( "I used the compound interest formula\r
\n" ); document.write( "\n" ); document.write( "A=P(1+(r/n))^(nt)\r
\n" ); document.write( "\n" ); document.write( "and got the formula:\r
\n" ); document.write( "\n" ); document.write( "8000=5000(1+(.065/3))^3t \r
\n" ); document.write( "\n" ); document.write( "but I am not sure how to get the t alone...\r
\n" ); document.write( "\n" ); document.write( "could you divide both sides by 5000?\r
\n" ); document.write( "\n" ); document.write( "then it would be 8000/5000= (1+(.065/3))^3t \r
\n" ); document.write( "\n" ); document.write( "I am not sure...
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Algebra.Com's Answer #560057 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
How many years will it take $5000 to grow to $8000 if the investment is at 6.5% and is compounded quarterly? \r
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\n" ); document.write( "\n" ); document.write( "\"A=P%281%2Br%2Fn%29%5E%28nt%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"8000=5000%281%2B0.065%2F4%29%5E%284%2At%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"8000=5000%281%2B0.01625%29%5E%284%2At%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"8000=5000%281.01625%29%5E%284%2At%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"8000%2F5000=%281.01625%29%5E%284%2At%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"1.6=%281.01625%29%5E%284%2At%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"log%28%281.6%29%29=log%28%28%281.01625%29%5E%284%2At%29%29%29\" Apply logs to both sides\r
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\n" ); document.write( "\n" ); document.write( "\"log%28%281.6%29%29=%284%2At%29%2Alog%28%281.01625%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"log%28%281.6%29%29=t%2A4%2Alog%28%281.01625%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"log%28%281.6%29%29%2F%284%2Alog%28%281.01625%29%29%29=t\"\r
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\n" ); document.write( "\n" ); document.write( "\"t+=+log%28%281.6%29%29%2F%284%2Alog%28%281.01625%29%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "\"t+=+7.28941768282519\" Use a calculator. Type in \"log(1.6)/(4*log(1.01625))\" without quotes\r
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\n" ); document.write( "\n" ); document.write( "It will take approximately 7.28941768282519 years\r
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\n" ); document.write( "\n" ); document.write( "Round this up to the nearest whole year to get 8 years.\r
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\n" ); document.write( "\n" ); document.write( "Let me know if that helps or not. Thanks.\r
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\n" ); document.write( "\n" ); document.write( "If you need more help, feel free to email me at jim_thompson5910@hotmail.com\r
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\n" ); document.write( "\n" ); document.write( "My Website: http://www.freewebs.com/jimthompson5910/home.html\r
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