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 explains the function representing the total amount of property tax for a home based on the taxable value of x thousand dollars.
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
rmine the immediate settlement for points A and B shown in
figure below knowing that Aq,-200kN/m², E-20000kN/m², u=0.5, Depth
of foundation (DF-0), thickness of layer below footing (H)=20m.
4m
B
2m
2m
A
2m
+
2m
4m
sy = f(x)
+
+
+
+
+
+
+
+
+
X
3
4
5
7
8
9
The function of shown in the figure is continuous on the closed interval [0, 9] and differentiable on the open
interval (0, 9). Which of the following points satisfies conclusions of both the Intermediate Value Theorem
and the Mean Value Theorem for f on the closed interval [0, 9] ?
(A
A
B
B
C
D
=
Q6 What will be the allowable bearing capacity of sand having p = 37° and ydry
19 kN/m³ for (i) 1.5 m strip foundation (ii) 1.5 m x 1.5 m square footing and
(iii)1.5m x 2m rectangular footing. The footings are placed at a depth of 1.5 m
below ground level. Assume F, = 2.5. Use Terzaghi's equations.
0
Ne
Na
Ny
35 57.8 41.4 42.4
40 95.7 81.3 100.4
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