SOLUTION: The revenue R (in millions of dollars) of a large retail store can be modeled by R=1.23t^2-2.22t+8.5, where t is the number of years since 1990. Estimate the year in which the stor
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Question 139631: The revenue R (in millions of dollars) of a large retail store can be modeled by R=1.23t^2-2.22t+8.5, where t is the number of years since 1990. Estimate the year in which the store's revenue will reach 90 million dollars?
HELP!!
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The revenue R (in millions of dollars) of a large retail store can be modeled by R=1.23t^2-2.22t+8.5, where t is the number of years since 1990. Estimate the year in which the store's revenue will reach 90 million dollars?
:
Replace R with 90 and solve for t
1.23t^2 - 2.22t + 8.5 = 90
:
1.23t^2 - 2.22t + 8.5 - 90 = 0
:
1.23t^2 - 2.22t - 81.5 = 0
:
Use the quadratic formula:
In this equation: a=1.23, b=-2.22, c=-81.5
:
:
:
Positive solution
t =
t = 9.09 ~ 9 yrs; 1999 is the year of 90 million dollars
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