document.write( "Question 1148011: How much money, invested at an interest rate of r % per year compounded continuously, will amount to A dollars after t years? (Round your answer to the nearest cent.)
\n" );
document.write( "A = 15,000, r = 4.9, t = 4 \n" );
document.write( "
Algebra.Com's Answer #769379 by Theo(13342) You can put this solution on YOUR website! formula for this would be A = P * e ^ (r * t) \n" ); document.write( "A is the future value. \n" ); document.write( "P is the present value. \n" ); document.write( "r is the interest rate per year = percent interest rate per year / 100. \n" ); document.write( "t is the number of years. \n" ); document.write( "in this formula, solve for P to get: \n" ); document.write( "P = A / e ^ (r * t) \n" ); document.write( "when A = 15000 and r = 4.9% / 100 = .049 and t = 4, the formula becomes: \n" ); document.write( "P = 15000 / e ^ (.049 * 4). \n" ); document.write( "solve for P to get: \n" ); document.write( "P = 12330.18352 \n" ); document.write( "to have 15,000 dollars in 4 years compounded continuously at 4.9% per year, 12,330.18352 dollars would need to be invested now. \n" ); document.write( " \n" ); document.write( " |