document.write( "Question 1202014: A couple plans to save for their child's college education. What principal must be deposited by the parents when their child is born in order to have $39,000 when the child reaches the age of 18? Assume the money earns 9% interest, compounded quarterly. (Round your answer to two decimal places.) \n" ); document.write( "
Algebra.Com's Answer #836636 by ikleyn(52798)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "A couple plans to save for their child's college education. \n" ); document.write( "What principal must be deposited by the parents when their child is born in order \n" ); document.write( "to have $39,000 when the child reaches the age of 18? \n" ); document.write( "Assume the money earns 9% interest, compounded quarterly. \n" ); document.write( "(Round your answer to two decimal places.) \n" ); document.write( "~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Use the formula for discretely compounded account \r\n" ); document.write( "\r\n" ); document.write( " f = p * (1 + r) ^ n\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "where f is the future value\r\n" ); document.write( " p is the principal (the deposited amount)\r\n" ); document.write( " r is the interest rate per time period, presented as a decimal\r\n" ); document.write( " n is the number of time periods.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Your time periods are quarters.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "f = 39000 dollars.\r\n" ); document.write( "r = 0.09/4.\r\n" ); document.write( "n = 18 years * 4 = 72 quarters.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Formula becomes 39000 =\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To see many other similar (and different) solved problems on compounded interest accounts, look into the lesson\r \n" ); document.write( "\n" ); document.write( " - Compounded interest percentage problems \r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Learn the subject from there.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |