document.write( "Question 457412: PLEASE HELP ASAP!
\n" ); document.write( "Solve the problem and express your answer to the nearest tenth.
\n" ); document.write( "How long will it take $750 to be worth $1000 if it is invested at 5% interest compounded quarterly?
\n" ); document.write( "

Algebra.Com's Answer #313829 by nerdybill(7384)\"\" \"About 
You can put this solution on YOUR website!
How long will it take $750 to be worth $1000 if it is invested at 5% interest compounded quarterly?
\n" ); document.write( ".
\n" ); document.write( "A = P(1 + r/n)^(nt)
\n" ); document.write( "where
\n" ); document.write( "A is amount after time t (1000)
\n" ); document.write( "P is the principal (750)
\n" ); document.write( "r is the rate (.05)
\n" ); document.write( "n is the times compounded (4)
\n" ); document.write( "t is time (what we're solving for)
\n" ); document.write( ".
\n" ); document.write( "A = P(1 + r/n)^(nt)
\n" ); document.write( "\"1000+=+750%281+%2B+.05%2F4%29%5E%284t%29\"
\n" ); document.write( "\"1000+=+750%281.0125%29%5E%284t%29\"
\n" ); document.write( "\"1.3333+=+%281.0125%29%5E%284t%29\"
\n" ); document.write( "\"log%281.0125%2C1.3333%29+=+4t\"
\n" ); document.write( "\"log%281.3333%29%2Flog%281.0125%29+=+4t\"
\n" ); document.write( "\"log%281.3333%29%2F%284%2Alog%281.0125%29%29+=+t\"
\n" ); document.write( "\"5.8+=+t\"
\n" ); document.write( ".
\n" ); document.write( "that is,
\n" ); document.write( "t = 5.8 years
\n" ); document.write( "
\n" );