document.write( "Question 337162: How do you set up this word problem using I=P*R*T?\r
\n" ); document.write( "\n" ); document.write( "Steve has $25,000 to invest and wishes to earn an overall annual rate of return of 8%. His financial advisor recommends that he invest some of the money in a 5-year CD paying 4% per annum and the rest in a corporate bond paying 9% per annum. How much should be placed in each investment in order for Steve to achieve his goal?
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Algebra.Com's Answer #241664 by stanbon(75887)\"\" \"About 
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How do you set up this word problem using I=P*R*T?
\n" ); document.write( "Steve has $25,000 to invest and wishes to earn an overall annual rate of return of 8%. His financial advisor recommends that he invest some of the money in a 5-year CD paying 4% per annum and the rest in a corporate bond paying 9% per annum. How much should be placed in each investment in order for Steve to achieve his goal?
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\n" ); document.write( "Interest from the CD will be P*(0.05)(5)
\n" ); document.write( "Interest from the bond will be p(0.09)5
\n" ); document.write( "Equation:
\n" ); document.write( "interest + interest = interest
\n" ); document.write( "0.05*5x + 0.09*5*(25000-x) = 0.08*5*25000
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\n" ); document.write( "Multiply thru by 100 to get:
\n" ); document.write( "5*5x + 9*5(25000-x) = 8*525000
\n" ); document.write( "----
\n" ); document.write( "25x + 45*25000- 45x = 40*25000
\n" ); document.write( "-20x = -5*25000
\n" ); document.write( "x = $6250 (amt. to invest in 5% CDs)
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\n" ); document.write( "25000-x = $18750 (amt. to invest in 9% bonds
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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