document.write( "Question 95929: If P dollars is invested at 100r percent compounded annually, at the end of 2 years it will grow to A=P(1+r)2
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document.write( "At what interest rate will $100 grow to $144.00 in 2 yrs If A=144 and P =100 , find r \n" );
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Algebra.Com's Answer #69871 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! 144=100(1+R)^2 \n" ); document.write( "144=100(1+2R+R^2) \n" ); document.write( "144=100+200R+100R^2 \n" ); document.write( "NOW WE PUT THESE TERMS IN THE QUADRATIC FORMULA FORMAT \n" ); document.write( "100R^2+200R+100-144=0 NOW WE COMBINE THE NUMERIC TERMS \n" ); document.write( "100R^2+200R-44=0 NOW WE EXTRACT A COMMON FACTOR 4 \n" ); document.write( "4(25R^2+50R-11)=0 NOW WE FACTOR THE EQUATION \n" ); document.write( "(5X+11)(5X-1)=0 NOW WE SOLVE ONLY THE FACTOR THAT GIVES A POSITIVE ANSWER. \n" ); document.write( "5X-1=0 \n" ); document.write( "X=1/5 \n" ); document.write( "X=.2 IS THE RATE OF INTEREST OR 20%. \n" ); document.write( " |