document.write( "Question 1137046: Cassandra bought a 10−yr Treasury note that paid the equivalent of 3.5% simple
\n" ); document.write( "interest. She invested $4000 more in a 15−yr bond earning 4.1% than she did in the Treasury note. If the total amount of interest from these investments is $10, 180, determine the amount of principal for each investment. Assume that each investment was held to maturity. \n" ); document.write( "
Algebra.Com's Answer #754991 by VFBundy(438)\"\" \"About 
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10-year Treasury note:
\n" ); document.write( "Principal = p
\n" ); document.write( "Rate = 0.035
\n" ); document.write( "Time = 10
\n" ); document.write( "Interest = 10(0.035p) = 0.35p
\n" ); document.write( "
\n" ); document.write( "15-year bond:
\n" ); document.write( "Principal = p + 4000
\n" ); document.write( "Rate = 0.035 + 0.041 = 0.076
\n" ); document.write( "Time = 15
\n" ); document.write( "Interest = 15(0.076(p + 4000)) = 15(0.076p + 304) = 1.14p + 4560
\n" ); document.write( "
\n" ); document.write( "(0.35p) + (1.14p + 4560) = 10180
\n" ); document.write( "
\n" ); document.write( "1.49p + 4560 = 10180
\n" ); document.write( "
\n" ); document.write( "1.49p = 5620
\n" ); document.write( "
\n" ); document.write( "p = 3771.81
\n" ); document.write( "
\n" ); document.write( "10-year Treasury note:
\n" ); document.write( "Principal = p = $3771.81
\n" ); document.write( "
\n" ); document.write( "15-year bond:
\n" ); document.write( "Principal = p + 4000 = $7771.81 \n" ); document.write( "
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