document.write( "Question 353827: A man deposited $2000 in a savings bank paying him a certain interest. At the end of the year he withdraw $150. At the end of the second year the amount dew to him was $1947.50. What was the rate of interest? \n" ); document.write( "
Algebra.Com's Answer #252923 by mananth(16946)![]() ![]() You can put this solution on YOUR website! $ 2000 in savings bank \n" ); document.write( "Let x% be the interest. \n" ); document.write( ".. \n" ); document.write( "interest obtained = 20x. \n" ); document.write( "he withdrew $150 \n" ); document.write( "Balance in account after 1 year = 2000-150+20x = 1850+20x \n" ); document.write( "... \n" ); document.write( "Interest for second year = 0.01x(1850+20x)+1850+20x = 1947.50 \n" ); document.write( "18.50x+0.2x^2+1850+20x=1947.50 \n" ); document.write( "0.2x^2+38.50x=1947.50-1850 \n" ); document.write( "0.2x^2+38.5x=97.5 \n" ); document.write( "multiply by 10 \n" ); document.write( "2x^2+385x-975 =0 \n" ); document.write( "discriminant = 156025 \n" ); document.write( "solve by quadratic formula \n" ); document.write( "x1= 2.5% \n" ); document.write( "x2= -195 ignore negative value\r \n" ); document.write( "\n" ); document.write( ".... \n" ); document.write( "m.ananth@hotmail.ca \n" ); document.write( " |