The millage rate is the amount of property tax per $1000 of the taxable value of a home. For a certain county the millage rate is 24 mil ($24 in tax per $1000 of taxable value of the home). A city within the county also imposes a flat fee of $108 per home. a. Write a function representing the total amount of property tax T ( x ) ( in $ ) for a home with a taxable value of x thousand dollars. b. Write an equation for T − 1 ( x ) . c. What does the inverse function represent in the context of this problem? d. Evaluate T − 1 ( 2988 ) and interpret its meaning in context.
The millage rate is the amount of property tax per $1000 of the taxable value of a home. For a certain county the millage rate is 24 mil ($24 in tax per $1000 of taxable value of the home). A city within the county also imposes a flat fee of $108 per home. a. Write a function representing the total amount of property tax T ( x ) ( in $ ) for a home with a taxable value of x thousand dollars. b. Write an equation for T − 1 ( x ) . c. What does the inverse function represent in the context of this problem? d. Evaluate T − 1 ( 2988 ) and interpret its meaning in context.
Solution Summary: The author calculates the inverse of an equation for T-1(x).
The millage rate is the amount of property tax per $1000 of the taxable value of a home. For a certain county the millage rate is 24 mil ($24 in tax per $1000 of taxable value of the home). A city within the county also imposes a flat fee of $108 per home.
a. Write a function representing the total amount of property tax
T
(
x
)
(
in $
)
for a home with a taxable value of x thousand dollars.
b. Write an equation for
T
−
1
(
x
)
.
c. What does the inverse function represent in the context of this problem?
d. Evaluate
T
−
1
(
2988
)
and interpret its meaning in context.
A research study in the year 2009 found that there were 2760 coyotes
in a given region. The coyote population declined at a rate of 5.8%
each year.
How many fewer coyotes were there in 2024 than in 2015?
Explain in at least one sentence how you solved the problem. Show
your work. Round your answer to the nearest whole number.
Answer the following questions related to the following matrix
A =
3
³).
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