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Question 175166: Would you please help me with these problems?
1). Area of a Parallelogram: Find a trinomial A(x) that represents the area of a parallelogram whose base is 3x+2 meters and whose height is 2x+3 meters.
Find A(3).
2. Compound Semiannually: P dollars is invested at an annual interst rate r for 1 year. If the interest is compounded semiannually, then the polynomial
P(1+r/2)² represents the value of the investment after 1 year. Rewrite this expression without parentheses. Evaluate the Polynomial is P=$200 and r=10%.
3. Perimeter of a Rectangle: The peremeter of a rectanglar backyard is 6x+6 yards. If the width is x yards, find a binomial that represents the length.
4. Selling Shirts: If a vendor charges p dollars each for rugby shirts, then he expects to sell 2000-100p shirts at a tournament.
Thank you so much!
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! 1). Area of a Parallelogram: Find a trinomial A(x) that represents the area of a parallelogram whose base is 3x+2 meters and whose height is 2x+3 meters
A(x) = (3x+2)(2x+3) = 6x^2+13x+6.
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Find A(3) = 6(3^2) + 13*3 + 6 = 54+39+6 = 99
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2. Compound Semiannually: P dollars is invested at an annual interst rate r for 1 year. If the interest is compounded semiannually, then the polynomial
P(1+(r/2))^2 represents the value of the investment after 1 year. Rewrite this expression without parentheses. Evaluate the Polynomial if P=$200 and r=10%.
A(t) = P[1 + r + (r/2)^2]
A(t) = 200[1 + 0.1 + (0.05)^2] = 200[1.1025] = $220.50
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3. Perimeter of a Rectangle: The peremeter of a rectanglar backyard is 6x+6 yards. If the width is x yards, find a binomial that represents the length.
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perimeter = 6x+6
2(L+W) = 6x+6
L+W = 3x+3
L + x = 3x+3
L = 2x+3
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4. Selling Shirts: If a vendor charges p dollars each for rugby shirts, then he expects to sell 2000-100p shirts at a tournament.
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What is the question?
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Cheers,
Stan H.
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