document.write( "Question 987343: chris lynch plans to invest $200 into a money market account. Find the interest rate that is needed for the money to grow $1,400 in 18 years if the interest is compounded quarterly. \n" ); document.write( "
Algebra.Com's Answer #608101 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! P=Po{1+r/n)^nt \n" ); document.write( "1400=200{1+r/4)^72 \n" ); document.write( "7={1+r/4)^72 \n" ); document.write( "ln of both sides \n" ); document.write( "1.9459=72 ln {1+r/4} \n" ); document.write( "0.02703=ln (1+r/4) \n" ); document.write( "raise to e power \n" ); document.write( "1.0274=1+r/4 \n" ); document.write( ".0274=r/4 \n" ); document.write( "r=10.96%. \n" ); document.write( "Check with 11% and see if Po increases 7 fold \n" ); document.write( "{1+11/4)}^72 \n" ); document.write( "1.0275^72=7.0516 This is a little more than 7, but I used 11% and not 10.96% \n" ); document.write( " |