document.write( "Question 1023310: Complete the following. Assume 360 days
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document.write( "Principal $750, Rate(nearest tenth percent)12.2%, Time(nearest day)?, Simple interest $19.06 \n" );
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Algebra.Com's Answer #639081 by Theo(13342)![]() ![]() You can put this solution on YOUR website! simple interest is calculated according to the following formula.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i = p * r * n\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i is the interest. \n" ); document.write( "p is the principal. \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( "if your interest rate is in years, then your time period is also in years.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you have the following:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i = 19.06 \n" ); document.write( "p = 750 \n" ); document.write( "r = .122 \n" ); document.write( "n = what you want to find.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "plug these values in the formula and you get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "19.06 = 750 * .122 * n\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for n to get n = 19.06 / (750 * .122).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this results in n = .208306011 years.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since n is in years, and each year is equal to 360 days, then convert your answer to days by multiplying n by 360 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "n = .208306011 * 360 = 74.99016393 days.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if your round this off to 75, then your answer is 75 days.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if n is in days, then the interest rate has to be per day as well.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide .122 by 360 to get r = .000338889 per day.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when you assume days rather than years, the formula becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "i = 750 * .000338889 * 75 = 19.0625 which round to 19.06.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your solution is that you would get 19.06 interest in approximately 74.99016393 days which you can round off as required.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "75 days seems reasonable to me.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your instructor might think otherwise.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |