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.
Solve the system of equation for y using Cramer's rule. Hint: The
determinant of the coefficient matrix is -23.
-
5x + y − z = −7
2x-y-2z = 6
3x+2z-7
eric
pez
Xte
in
z=
Therefore, we have
(x, y, z)=(3.0000,
83.6.1 Exercise
Gauss-Seidel iteration with
Start with (x, y, z) = (0, 0, 0). Use the convergent Jacobi i
Tol=10 to solve the following systems:
1.
5x-y+z = 10
2x-8y-z=11
-x+y+4z=3
iteration (x
Assi 2
Assi 3.
4.
x-5y-z=-8
4x-y- z=13
2x - y-6z=-2
4x y + z = 7
4x-8y + z = -21
-2x+ y +5z = 15
4x + y - z=13
2x - y-6z=-2
x-5y- z=-8
realme Shot on realme C30
2025.01.31 22:35
f
Use Pascal's triangle to expand the binomial
(6m+2)^2
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