document.write( "Question 1148048: Lisa opens a savings account with $1,950. The bank pays 5% compounded semiannually. After one-and-a half years Lisa deposits an additional $875. What is the balance in her account at the end of a total of 2 years? \n" ); document.write( "
Algebra.Com's Answer #769424 by Theo(13342)![]() ![]() You can put this solution on YOUR website! she deposits $1950 in the account. \n" ); document.write( "the interest rate is 5% compounded semi-annually. \n" ); document.write( "5% / 2 = 2.5% every half year. \n" ); document.write( "time periods are in half years. \n" ); document.write( "in 1.5 years (3 half years), she deposits an additional $875. \n" ); document.write( "what is the balance in her account at the end of 2 years.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "future value of $1950 for 2 years (4 semi-annual periods) is equal to $1950 * (1 + .025) ^ 4 = $2152.435137.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "future value of $875 for 1 semi-annual period is equal to $875 * (1.025) = $896.875.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the sum of the two future values is $3049.310137.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's how much she will have in her account at the end of two years.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here is the cash flow analysis from excel.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |