document.write( "Question 876723: Since the birth of their daughter, the Tranters have deposited $450 every 3 months on an education savings plan. The interest rate is 7.5%/a compounded quarterly. What is the plans value when their daughter turns 17? \n" ); document.write( "
Algebra.Com's Answer #528978 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! Use this formula: \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "FV = P*( (1+i)^(n) - 1 )/i\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "where,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P = amount deposited per period \n" ); document.write( "i = interest rate per period \n" ); document.write( "n = number of periods\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In this case,\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "P = 450 \n" ); document.write( "i = 0.075/4 = 0.01875 \n" ); document.write( "n = 4*17 = 68\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "FV = P*( (1+i)^(n) - 1 )/i\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "FV = 450*( (1+0.01875)^(68) - 1 )/0.01875\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "FV = 60880.8110324299\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "FV = 60880.81\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "They will have $60,880.81 in the account 17 years later (assuming they keep up with every deposit)\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "See this article for more details: \n" ); document.write( "http://www.investopedia.com/terms/f/future-value-annuity.asp \n" ); document.write( " |