Practice A: Quadratic Formula with Complex Solutions Problems 11-12 The function p(t) = 0.2t2 – 1.5t +5 represents the price of a stock over the past six months, where t represents time in months. Analysts expect this model to be valid for an additional twelve months, which is eighteen months from the initial data point. 11. Use the quadratic formula to determine when the stock price is forecasted to reach $10.

Practice A: Quadratic Formula with Complex Solutions Problems 11-12 The function p(t) = 0.2t2 – 1.5t +5 represents the price of a stock over the past six months, where t represents time in months. Analysts expect this model to be valid for an additional twelve months, which is eighteen months from the initial data point. 11. Use the quadratic formula to determine when the stock price is forecasted to reach $10.

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Question

Practice A: Quadratic Formula with Complex Solutions
Problems 11-12 The function p(t) = 0.2t2 – 1.5t + 5 represents the price of a stock over the past six months,
where t represents time in months. Analysts expect this model to be valid for an additional twelve months,
which is eighteen months from the initial data point.
11. Use the quadratic formula to determine when the stock price is forecasted to reach $10.

Expert Solution

Step 1

Solution ) p(t) = 0.2t²- 1.5t + 5

stock price forecasted to reach $10

So p(t) = $10

10 = 0.2t²- 1.5t + 5

0.2t²- 1.5t + 5 -10

0.2t²- 1.5t - 5 = 0

Multiply by 10 to whole equation

2t²- 15t - 50 = 0

2t² - 20t + 5t - 50 = 0

2t ( t - 10 ) + 5 ( t - 10 ) =0

(2t + 5 ) ( t - 10) = 0

t = -5/2 , 10

Negative value not acceptable

t = 10

After the 10 months stock price forecasted to reach $10

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