document.write( "Question 1025819: Please help, I am stucked at this question:\r
\n" ); document.write( "\n" ); document.write( "Find the interest rate needed for an investment of $3,000 to grow to an amount of $4,000 in 3 years if interest is compounded continuously. Please round the answer to the nearest hundredth of percent.\r
\n" ); document.write( "\n" ); document.write( "I am using the compounded interest formula:
\n" ); document.write( "A = P ( 1+〖r/m)〗^mt
\n" ); document.write( "where A = $4000 and P = $3000 and t = 3 (years) and m = 1 (annually) and r = interest (percentage)
\n" ); document.write( "I am stuck at this step: $4000 = $3000 〖(1+r)〗^3
\n" ); document.write( "Suppose if this is correct up to this point, can anyone be kind enough to show me the workings in solving this? Much thanks.
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #641163 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!
Please help, I am stucked at this question:\r
\n" ); document.write( "\n" ); document.write( "Find the interest rate needed for an investment of $3,000 to grow to an amount of $4,000 in 3 years if interest is compounded continuously. Please round the answer to the nearest hundredth of percent.\r
\n" ); document.write( "\n" ); document.write( "I am using the compounded interest formula:
\n" ); document.write( "A = P ( 1+〖r/m)〗^mt
\n" ); document.write( "where A = $4000 and P = $3000 and t = 3 (years) and m = 1 (annually) and r = interest (percentage)
\n" ); document.write( "I am stuck at this step: $4000 = $3000 〖(1+r)〗^3
\n" ); document.write( "Suppose if this is correct up to this point, can anyone be kind enough to show me the workings in solving this? Much thanks.
\n" ); document.write( "
You used the formula for interest when doing REGULAR (monthly, quarterly, annually, etc.) compounding but this requires
\n" ); document.write( "the formula for CONTINUOUS ompounding, which is: \"highlight_green%28A+=+Pe%5E%28rt%29%29\".
\n" ); document.write( "You solve this for r, the interest rate \n" ); document.write( "
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