document.write( "Question 1129598: Given an interest of $11,900 at 6% for 50 days (ordinary interest), calculate the principal.\r
\n" ); document.write( "\n" ); document.write( "A. $1,428,571.40
\n" ); document.write( "B. $1,420.70
\n" ); document.write( "C. $1,487,500.00
\n" ); document.write( "D. $1,428,005.70\r
\n" ); document.write( "\n" ); document.write( "Need the right steps
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Algebra.Com's Answer #746187 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "The problem is VERY badly formulated.

\n" ); document.write( "The interest equation is

\n" ); document.write( "\"I+=+prt\"

\n" ); document.write( "We are given that the interest I is 11900.
\n" ); document.write( "We are given that the annual interest rate is 6%.
\n" ); document.write( "We are given that the time is 50 days.

\n" ); document.write( "We are not told whether we are to use 360 or 365 (or some other number) for the number of days in a year. Since it is common to use 360, I will do that.

\n" ); document.write( "Then our interest equation is

\n" ); document.write( "\"11900+=+p%28.06%29%2850%2F360%29\"
\n" ); document.write( "\"p+=+11900%2F%283%2F360%29+=+11900%2F%281%2F120%29+=+11900%2A120+=+1428000\"

\n" ); document.write( "Using 360 for the number of days in a year, the amount of the principal is (exactly) $1,428,000.

\n" ); document.write( "That is not one of the answer choices, although answer choice D is close.; and answer A is in the right ballpark.

\n" ); document.write( "But here is where the problem is formulated very badly.

\n" ); document.write( "If you convert the 6% annual interest rate to a daily interest rate using 360 days per year and us the decimal approximation 0.00016666, you get answer D.

\n" ); document.write( "If you convert the 6% annual interest rate to a daily interest rate using 360 days per year and us the decimal approximation 0.0001666, you get answer A.

\n" ); document.write( "But NO DECIMAL APPROXIMATION should be used! The EXACT answer, using 360 days per year, is $1,428,000.
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