document.write( "Question 999383: How long will it take an investment of $7,000 to double if the investment earns interest at the rate of 7% compounded continuously? (Round your answer to two decimal places.) \n" ); document.write( "
Algebra.Com's Answer #617151 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! How long will it take an investment of $7,000 to double if the investment earns interest at the rate of 7% compounded continuously? (Round your answer to two decimal places.)\r \n" ); document.write( "\n" ); document.write( "compound interest formula for continuous compounding:A= Pe^rt, P=initial investment,r=interest rate,A = amount after t-years \n" ); document.write( "A/P=2 \n" ); document.write( "A/P=e^rt=2 \n" ); document.write( "take log of both sides \n" ); document.write( "rtlne=ln2 \n" ); document.write( "rt=ln2 \n" ); document.write( "t=ln2/.07=9.9.90 yrs \n" ); document.write( "How long will it take an investment of $7,000 to double? 9.90 yrs\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |