document.write( "Question 1137893: 1. George has $700 to invest. Suppose he invests $300 at 6% interest. At what rate must he invest the other $400 so that the two investments yield more than $70 of yearly interest?\r
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\n" ); document.write( "\n" ); document.write( "2. Angie bought some golf balls for $5. If each ball had cost $0.25 less, she could have purchased one more ball for the same amount of money. How many balls did Angie buy?
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Algebra.Com's Answer #755898 by MathTherapy(10552)\"\" \"About 
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1. George has $700 to invest. Suppose he invests $300 at 6% interest. At what rate must he invest the other $400 so that the two investments yield more than $70 of yearly interest?\r
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\n" ); document.write( "\n" ); document.write( "2. Angie bought some golf balls for $5. If each ball had cost $0.25 less, she could have purchased one more ball for the same amount of money. How many balls did Angie buy?
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1.
\n" ); document.write( "Let rate be r
\n" ); document.write( "The we get: .06(300) + r(400) > 70
\n" ); document.write( "18 + 400r > 70
\n" ); document.write( "400r > 52
\n" ); document.write( "Rate, or
\n" ); document.write( "2.
\n" ); document.write( "Let number she bought be G
\n" ); document.write( "Cost of each ball: \"5%2FG\"
\n" ); document.write( "Had each cost 25c less, then each would be \"5%2FG+-+.25\"
\n" ); document.write( "We then get: \"matrix%281%2C3%2C+%285%2FG+-+.25%29%28G+%2B+1%29%2C+%22=%22%2C+5%29\"
\n" ); document.write( "\"matrix%281%2C3%2C+5+%2B+5%2FG+-+.25G+-+.25%2C+%22=%22%2C+5%29\" ------ FOILing binomials on left side
\n" ); document.write( "\"matrix%281%2C3%2C+5%2FG+-+.25G+-+.25%2C+%22=%22%2C+0%29\"
\n" ); document.write( "\"matrix%281%2C3%2C+5+-+.25G%5E2+-+.25G%2C+%22=%22%2C+0%29\" ------- Multiplying by LCD, G
\n" ); document.write( "\"matrix%281%2C3%2C+-+.25G%5E2+-+.25G+%2B+5%2C+%22=%22%2C+0%29\"
\n" ); document.write( "\"matrix%281%2C3%2C+G%5E2+%2B+G+-+20%2C+%22=%22%2C+0%29\" ------- Multiplying by - 4 to clear DECIMALS
\n" ); document.write( "(G - 4)(G + 5) = 0 --- Factoring TRINOMIAL on left side
\n" ); document.write( "Number of golf balls purchased, or \"highlight_green%28matrix%281%2C3%2C+G%2C+%22=%22%2C+4%29%29\" OR G = - 5 (ignore) \n" ); document.write( "
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