The value of Jon’s stock portfolio is given by the function v(t) = 50 + 77t + 3t2,  where v is the value of the portfolio in hundreds of dollars and t is the time in months.  How much money did Jon start with? (y-intercept) What is the minimum value of Jon’s portfolio? (vertex)

ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
Section: Chapter Questions
Problem 1QTC
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The value of Jon’s stock portfolio is given by the function

v(t) = 50 + 77t + 3t2

where v is the value of the portfolio in hundreds of dollars and t is the time in months. 

  1. How much money did Jon start with? (y-intercept)
  2. What is the minimum value of Jon’s portfolio? (vertex)
a. Jason hit the water after now many seconds? (X-intercept)
? (X-intercept)
b. How long did it take for Jason to reach his maximum height? (vertex)
c. What was the maximum height that Jason reached? (vertex)
2. The value of Jon's stock portfolio is given by the function
v(t) = 50 +77t+ 3t,
where v is the value of the portfolio in hundreds of dollars and t is the time
%3D
in months.
a. How much money did Jon start with? (V-intercept)
b. What is the minimum value of Jon's portfolio? (vertex)
3. If a toy rocket is launched vertically upward from ground level then its
height h after t seconds is given by the equation h(t) = -16t + 128t.
a. How long will it take for the rocket to return to the ground? (x-intercept)
b. How long will it take the rocket to hit its maximum height? (vertex)
c.What is the maximum height? (vertex)
d. After how many seconds will the rocket be 112 feet above the ground?
(y = 112)
Transcribed Image Text:a. Jason hit the water after now many seconds? (X-intercept) ? (X-intercept) b. How long did it take for Jason to reach his maximum height? (vertex) c. What was the maximum height that Jason reached? (vertex) 2. The value of Jon's stock portfolio is given by the function v(t) = 50 +77t+ 3t, where v is the value of the portfolio in hundreds of dollars and t is the time %3D in months. a. How much money did Jon start with? (V-intercept) b. What is the minimum value of Jon's portfolio? (vertex) 3. If a toy rocket is launched vertically upward from ground level then its height h after t seconds is given by the equation h(t) = -16t + 128t. a. How long will it take for the rocket to return to the ground? (x-intercept) b. How long will it take the rocket to hit its maximum height? (vertex) c.What is the maximum height? (vertex) d. After how many seconds will the rocket be 112 feet above the ground? (y = 112)
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