document.write( "Question 52836: kevin has $9,300 to invest. he decides to invest a portion of ther $9,300 at 4.7% for 1 year and the rest at 5.9% each for 1 year. if the total interest amount that kevin earns is $507.90, how much was invested at 4.7% and how much was invested at 5.9%?\r
\n" );
document.write( "\n" );
document.write( "pleaseeeeeeeeee helpppppppppp \n" );
document.write( "
Algebra.Com's Answer #35251 by funmath(2933)![]() ![]() ![]() You can put this solution on YOUR website! Let the principle you invest at 4.7%=x \n" ); document.write( "The rest you invest at 5.9%=9,300-x \n" ); document.write( "time=1 \n" ); document.write( "Interest=Principle*rate*time \n" ); document.write( "Interest at 4.7%=(x)*(.047)*(1)=.047x \n" ); document.write( "Interest at 5.9%=(9,300-x)*(.059)*(1)=.059(9,300-X) \n" ); document.write( "Total Interest: 507.90 \n" ); document.write( "So your problem to solve is: \n" ); document.write( ".047x+.059(9,300-x)=507.90 \n" ); document.write( ".047x+.059(9,300)+.059(-x)=507.90 \n" ); document.write( ".047x+548.7-.059x=507.90 \n" ); document.write( "(.047-.059)x+548.7=507.90 \n" ); document.write( "-.012x+548.7=507.90 \n" ); document.write( "-.012x+548.7-548.7=507.90-548.7 \n" ); document.write( "-.012x=-40.8 \n" ); document.write( "-.012x/-.012=-40.8/-.012 \n" ); document.write( "x=3,400 \n" ); document.write( "The amount invested at 4.7%=$3,400 \n" ); document.write( "The amount invested at 5.9%=9,300-3,400=$5,900 \n" ); document.write( "If you truely hate decimals, you can eliminate your decimals for your first step by multiplying both sides of the equation by 1000 and then solving. \n" ); document.write( "Happy investing! \n" ); document.write( " |