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)\"\" \"About 
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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
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\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
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\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
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