document.write( "Question 280377: Jason Thomas has saved $2,500 towards a down payment on a new truck. He wants to have a total of $25,000 and plans to buy in 3 years. How much will he have to save at the end of each month if he can earn 5% on his savings?\r
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Algebra.Com's Answer #203892 by Theo(13342)![]() ![]() You can put this solution on YOUR website! He already has 2500 dollars.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If he saves his money with monthly compounding, that will be worth 2903.680578 at the end of 3 years from today.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since he wants to have a total of 25000 in 3 years, then we subtract this from 25000 to get 22096.31942 which is the additional money he will need in 3 years.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Assuming monthly compounding, he would need to make payments of 570.1785182 per month for 36 months to equal 22096.31942 at the end of 3 years.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Today he has 2500 which will be worth 2903.6805787 in 3 years.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "He is making monthly payments of 570.1785182 at the end of each payments that will be worth 22096.31942 in 3 years assuming he re-invests the interest the account is earning at the end of each month.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2903.6805787 + 22096.31942 = 25000 total he will have at the end of 3 years.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This does not take into considerations taxes on the money earned which puts a whole new dimension on the calculations required.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I used a financial calculator to provide the answers but there are formulas you can apply if you don't have access to one.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I have lessons on algebra.com for future value of a present amount and payment for a future value that contains the formulas.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Those lessons can be found by clicking on the following links.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Future Value of a Present Amount\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Payment for a Future Value\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "When you get into Algebra.com, you can scan down the main page until you find \"lessons\" and click on that to get to the lessons.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "All lessons written by all tutors on algebra.com can be found by clicking on the following link.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Alebra.com Lessons\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |