document.write( "Question 428540: You make a deposit of 2000 € into your account. The interest rate is 5% and the interest is added into the account first after one year and then annually. How long will it take your savings to grow to 10000 €? \n" ); document.write( "
Algebra.Com's Answer #297835 by mananth(16946)![]() ![]() You can put this solution on YOUR website! Principal P = 2000 \n" ); document.write( "Amount= 10000 \n" ); document.write( "years=n \n" ); document.write( "compounded 1 \n" ); document.write( " \n" ); document.write( "Amount = P*((n+r)/n)^n \n" ); document.write( " \n" ); document.write( "10000 = 2000 *( 1 + 0.05 )^ n \n" ); document.write( "5 = *( 1 + 0.05 )^ n \n" ); document.write( "ln 5 = n ln 1.05 \n" ); document.write( " 1.61 = n 0.05 \n" ); document.write( " 32.99 = n \n" ); document.write( " \n" ); document.write( "Say 33 years \n" ); document.write( " \n" ); document.write( " |