document.write( "Question 252990: Please solve this word problem, about continuous compounding\r
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document.write( "You invest $1,100 in an account that has an annual intrest rate of 2.1%, compounded continuously. How much money will be in the account after 7 years? \n" );
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Algebra.Com's Answer #185197 by Theo(13342)![]() ![]() You can put this solution on YOUR website! continuous compounding formula is\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "f = future value \n" ); document.write( "p = present amount \n" ); document.write( "r = annual interest rate expressed as a proportion (percent divided by 100% = proportion) \n" ); document.write( "t = time in years \n" ); document.write( "e = the scientific constant that is equivalent to 2.718281828.........\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in your problem:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "p = $1,100 \n" ); document.write( "r = 2.1% / 100% = .021 \n" ); document.write( "t = 7\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "substitute in the formula to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "answer is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "f = 1274.189359\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you will have $1,274.19 at the end of 7 years using continuous compounding.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |