document.write( "Question 148069: The fromula A=P(1+r)^t gives the amount A in dollars that P dollars will grow to in two years at interest rate r using compound interest. What interest rate will cause $6235.75 to grow to $8612.88 in two years? Round your answers here to the nearest tenth of a percent. \n" ); document.write( "
Algebra.Com's Answer #108460 by nerdybill(7384)![]() ![]() You can put this solution on YOUR website! The fromula A=P(1+r)^t gives the amount A in dollars that P dollars will grow to in two years at interest rate r using compound interest. What interest rate will cause $6235.75 to grow to $8612.88 in two years? Round your answers here to the nearest tenth of a percent. \n" ); document.write( ". \n" ); document.write( "The problem gives a formula of: \n" ); document.write( "A=P(1+r)^t \n" ); document.write( ". \n" ); document.write( "It also provides: \n" ); document.write( "P = $6235.75 \n" ); document.write( "A = $8612.88 \n" ); document.write( "t = 2 years \n" ); document.write( ". \n" ); document.write( "Simply plug in the above into the provided formula and solve for unknown (r): \n" ); document.write( "A=P(1+r)^t \n" ); document.write( "8612.88 = 6235.75(1+r)^2 \n" ); document.write( "dividing both sides by 6235.75 we get: \n" ); document.write( "1.3812 = (1+r)^2 \n" ); document.write( "take the \"square root\" of both sides to get: \n" ); document.write( "1.1752 = 1+r \n" ); document.write( "subtract 1 from both sides to get: \n" ); document.write( ".1752 = r \n" ); document.write( ". \n" ); document.write( "answer: 17.5%\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |