document.write( "Question 1110795: Suppose that your brother wants to have $119000 to buy video equipment in five years. If he can invest his money now at 12.5% compounded continuously, then how much must he invest today? Round your answer to the nearest dollar. Do not use a dollar sign or a comma \n" ); document.write( "
Algebra.Com's Answer #725796 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the formula for continuous compounding is f = p * e^(rt)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "f is the future value. \n" ); document.write( "p is the present value. \n" ); document.write( "r is the interest rate per time period. \n" ); document.write( "t is the number of time periods.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in your problem, the equation becomes 119000 = p * e^(.125*5)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for p to get p = 119000 / (e^(.125*5))\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "result is p = 63696.10999\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "round to nearest dollar to get p = 63696\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |