document.write( "Question 1146252: Compute the amount earned on $75,000 invested at 3.26% APR in one year if compounding is taking place daily. (Round your answer to the nearest cent.) \n" ); document.write( "
Algebra.Com's Answer #767531 by Theo(13342)![]() ![]() You can put this solution on YOUR website! present value = 75,000. \n" ); document.write( "interest rate = 3.26% per year / 365 = .0089315068% per day / 100 = .0000893156068 per day. \n" ); document.write( "number of daily time periods = 1 year * 365 = 365. \n" ); document.write( "formula to use is f = p * (1+r)^n \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( "n is the number of time periods\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "formula becomes f = 75000 * 1.0000893156068 ^ 365 \n" ); document.write( "solve for f to get: \n" ); document.write( "f = 77485.17733 \n" ); document.write( "round to nearest cent to get f = 77485.18\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the assumption is that there are 365 days in a year. \n" ); document.write( "change that assumption and the future value will change accordingly. \n" ); document.write( "the procedure is to get the interest rate per day by dividing the interest rate per year by the number of days in the year. \n" ); document.write( "you also need to multiply the number of years by the same number of days in the year. \n" ); document.write( "this formula uses the rate, not the percent. \n" ); document.write( "if you use an online calculator, then you enter the percent, as shown below. \n" ); document.write( "also, if you want the future value to be positive, you enter the present value as negative, and vice versa. \n" ); document.write( "positive means money coming in. \n" ); document.write( "negative means money going out.\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( " |