document.write( "Question 37589: Can someone help me with these questions please?\r
\n" ); document.write( "\n" ); document.write( "A principal of $5000 was invested in a savings account for 4 years. If the interest earned for the period was $400, what was the interest rate? \r
\n" ); document.write( "\n" ); document.write( "Allen bought 20 stamps at the post office in 37¢ and 20¢ denominations. If the total cost of the stamps was $7.06, how many 37¢ stamps did Allen buy?\r
\n" ); document.write( "\n" ); document.write( "The perimeter of a rectangle is to be no greater than 300 in., and the length must be 125 in. Find the maximum width of the rectangle.\r
\n" ); document.write( "\n" ); document.write( "One number is 8 less than another. If 5 times the smaller number minus 2 times the larger number is 14, find the two numbers.
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Algebra.Com's Answer #23202 by Nate(3500)\"\" \"About 
You can put this solution on YOUR website!
A principal of $5000 was invested in a savings account for 4 years. If the interest earned for the period was $400, what was the interest rate?
\n" ); document.write( "\"P%28a%29=a%281%2Br%29%5Et\" your equation for interest
\n" ); document.write( "\"5400=5000%281%2Br%29%5E4\" where \"P%28a%29\" is final amount; \"a\" is initial amount; \"r\" is rate; and \"t\" is time
\n" ); document.write( "\"%281.08%29=%281%2Br%29%5E4\"
\n" ); document.write( "\"1.0194=1%2Br\"
\n" ); document.write( "\"0.0194=r\" the rate was about 1.94%
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\n" ); document.write( "Allen bought 20 stamps at the post office in 37¢ and 20¢ denominations. If the total cost of the stamps was $7.06, how many 37¢ stamps did Allen buy?
\n" ); document.write( "define variables:
\n" ); document.write( "s=amount of 20¢
\n" ); document.write( "l=amount of 37¢
\n" ); document.write( "define equations:
\n" ); document.write( "s+l=20
\n" ); document.write( "0.2s+.37l=7.06
\n" ); document.write( "combine:
\n" ); document.write( "s=20-l
\n" ); document.write( "so....
\n" ); document.write( "0.2(20-l)+.37l=7.06
\n" ); document.write( "4-.2l+.37l=7.06
\n" ); document.write( ".17l=3.06
\n" ); document.write( "l=18 Allen bought eighteen 37¢ stamps.
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\n" ); document.write( "The perimeter of a rectangle is to be no greater than 300 in., and the length must be 125 in. Find the maximum width of the rectangle.
\n" ); document.write( "perimeter<2(length)+2(width)
\n" ); document.write( "300>2(125)+2(w)
\n" ); document.write( "300>250+2w
\n" ); document.write( "50>2w
\n" ); document.write( "25>w the maximum width must be less than twenty five .... (if you only concidered integer values, than the value would be 24)
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\n" ); document.write( "One number is 8 less than another. If 5 times the smaller number minus 2 times the larger number is 14, find the two numbers.
\n" ); document.write( "define variables:
\n" ); document.write( "l=larger number
\n" ); document.write( "s=smaller number
\n" ); document.write( "create equations:
\n" ); document.write( "l-8=s
\n" ); document.write( "5s-2l=14
\n" ); document.write( "combine:
\n" ); document.write( "s=l-8
\n" ); document.write( "so ....
\n" ); document.write( "5s-2l=14
\n" ); document.write( "5(l-8)+2l=14
\n" ); document.write( "5l-40+2l=14
\n" ); document.write( "3l=54
\n" ); document.write( "l=18
\n" ); document.write( "s=10\r
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