document.write( "Question 1195415: Juan wants to invest $2600 in a savings account. Determine the interest rate (simple interest) required for Juan 's investment to double in value in 14 years. Round your answer to the nearest tenth of a percent. \n" ); document.write( "
Algebra.Com's Answer #827890 by jhunjiro(67)![]() ![]() You can put this solution on YOUR website! A = P (1 + rt) \n" ); document.write( "A = final amount \n" ); document.write( "P = initial principal balance \n" ); document.write( "r = annual interest rate \n" ); document.write( "t = time (in years)\r \n" ); document.write( "\n" ); document.write( "Given:\r \n" ); document.write( "\n" ); document.write( "A = $5200 \n" ); document.write( "P = $2600 \n" ); document.write( "r = ? \n" ); document.write( "t = 14 years\r \n" ); document.write( "\n" ); document.write( "5200 = 2600 ( 1 + r(14)) divide both sides by 2600 \n" ); document.write( "2 = 1 + 14r subtract 1 both sides \n" ); document.write( "1 = 14r divide both sides by 14 \n" ); document.write( "1/14 = r \r \n" ); document.write( "\n" ); document.write( "r = 0.07142857142857142857142857142857 multiply by 100 for percent \n" ); document.write( "r = 7.142857142857142857142857142857\r \n" ); document.write( "\n" ); document.write( "rounded to the nearest tenth of a percent\r \n" ); document.write( "\n" ); document.write( "r = 7.1 %\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |