SOLUTION: The equation P=-0.5t^2-3t+8 describes the monthly profits(in millions) of ABCD Corp. for the year 2004 with t=0 representing July 2004. a. How much profit did the corporation make

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Question 783439: The equation P=-0.5t^2-3t+8 describes the monthly profits(in millions) of ABCD Corp. for the year 2004 with t=0 representing July 2004.
a. How much profit did the corporation make in March 2004?
b. How much profit did the corporation make in October 2004?
c. Sketch the graph of the equation
d. Find the t-intercept. What does it represent?
e. Find the P-intercept. What does it represent?
I have already started on the problem and for a. I got 12 million and b. I got -5.5 million. If you could help me by double checking my answers that would be great as well as helping me solve d and e. Thank you
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The equation P=-0.5t^2-3t+8 describes the monthly profits(in millions) of ABCD Corp. for the year 2004 with t=0 representing July 2004.
a. How much profit did the corporation make in March 2004?:: 12 million
b. How much profit did the corporation make in October 2004?:: -5.5 million
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c. Sketch the graph of the equation
graph%2C400%2C400%2C-10%2C10%2C-10%2C15%2C-0.5x%5E2-3x%2B8%29
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d. Find the t-intercept. What does it represent?
Let P = 0 and solve for "t":
Ans: t = 2
The profit is zero 2 months after July 2004.
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e. Find the P-intercept. What does it represent?
Let t = 0 and solve for "P":
Ans: p = 8
In July (when t = 0) the profit was 8 million
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Cheers,
Stan H.
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