The taxes on a house assessed at $78,000 are $1950 a year. If the assessment is raised to $93,000 and the tax rate did not change, how much would the taxesbe now?

Answers

Answer 1

Answer:

Answer:

i dont do taxes

Step-by-step explanation:

Related Questions

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O.ooo27 in scientific notation ?
A photocopier can print 12 copies in 18 seconds. At this rate, how many copies can it print in 42 seconds?
The table shows the height of water in feet at different times. The water rises and falls in a cyclical pattern.A 2-column table with 5 rows. Column 1 is labeled x with entries 12 a m, 3 a m, 6 a m, 9 a m, 12 p m. Column 2 is labeled y with entries 6, 10, 6, 2, 6.Which equation models the data in the table? y = 6 sine (StartFraction pi Over 6 EndFraction x) + 2y = 6 sine (StartFraction pi Over 6 EndFraction x) + 4y = 4 sine (StartFraction pi Over 6 EndFraction x) + 6y = 4 sine (StartFraction pi Over 6 EndFraction x) + 10
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2. Anne needs to know how much of her back yard will be used by her newcircular pool. *
1 point
11 feet
What is the area of the pool? Use 3.14 for T.

Answers

Answer:

see below

Step-by-step explanation: 6 13 8 09

area = π r² is the equation to calculate the area of the pool r = radius

I don't no if the 1.11 ft is the diameter of the radius, so I will use the 1.11 ft as the diameter

diameter = 2×radius

diameter / 2 = radius

area = π (d/2)² = T (d/2)² d = diameter π = T

= 3.14(1.11 / 2)²

= 3.14 × (0.555)²

= 0.9677 ft² which seems like a small pool!

Identify the vertex, axis of symmetry, maximum orminimum, and domain and range of the function
2x² – 5x + 3 = m(x)

Answers

Answer:

vertex: (1.25, -0.125)
axis of symmetry: x = 1.25
minimum: -0.125
domain: all real numbers
range: y ≥ -0.125

Step-by-step explanation:

For quadratic ax² +bx +c, the axis of symmetry is x = -b/(2a). For your function, a=2, b=-5, c=3 and the axis of symmetry is ...

x = -(-5)/(2(2)) = 5/4 = 1.25

The vertex is on the axis of symmetry. The y-value there is ...

m(5/4) = (2(5/4) -5)(5/4) +3 = (-5/2)(5/4) +3 = -25/8 +24/8 = -1/8

The vertex is (5/4, -1/8).

The axis of symmetry is x = 5/4.

The leading coefficient is positive, so the parabola opens upward. The vertex is a minimum.

The minimum is -1/8.

The function is defined for all values of x, so ...

the domain is all real numbers.

Values of y can only be -1/8 or greater, so ...

the range is y ≥ -1/8.

Although still a sophomore at college, John O'Hagan's son Billy-Sean has already created several commercial video games and is currently working on his most ambitious project to date: a game called K that purports to be a "simulation of the world." John O'Hagan has decided to set aside some office space for Billy-Sean against the northern wall in the headquarters penthouse. The construction of the partition will cost $8 per foot for the south wall and $12 per foot for the east and west walls.What are the dimensions of the office space with the largest area that can be provided for Billy-Sean with a budget of $432?south wall length ft -east and west wall length -What is its area?

Answers

Answer:

27 feet for the south wall and 18 feet for the east/west walls

Maximum area= $486\ ft^2$

Step-by-step explanation:

Optimization

This is a simple case where an objective function must be minimized or maximized, given some restrictions coming in the form of equations.

The first derivative method will be used to find the values of the parameters that control the objective function and the maximum value of that function.

The office space for Billy-Sean will have the form of a rectangle of dimensions x and y, being x the number of feet for the south wall and y the number of feet for the west wall. The total cost of the space is

C=8x+12y

The budget to build the office space is $432, thus

$8x+12y=432$

Solving for y

$\displaystyle y=(432-8x)/(12)$

The area of the office space is

$A=xy$

Replacing the value found above

$\displaystyle A=x\cdot (432-8x)/(12)$

Operating

$\displaystyle A= (432x-8x^2)/(12)$

This is the objective function and must be maximized. Taking its first derivative and equating to 0:

$\displaystyle A'= (432-16x)/(12)=0$

Operating

$432-16x=0$

Solving

$x=432/16=27$

$x=27\ feet$

Calculating y

$\displaystyle y=(432-8\cdot 27)/(12)$

$y=18\ feet$

Compute the second derivative to ensure it's a maximum

$\displaystyle A'= (-16x)/(12)$

Since it's negative for x positive, the values found are a maximum for the area of the office space, which area is

$A=xy=27\ ft\cdot 18\ ft\n\n\boxed{A=486\ ft^2}$

The table on the left is that of a linear function, and the one on the right is that of an exponential function. Can you tell which function has the higher rate of growth? How?

Answers

The correct answer is D.

As you can see, the exponential function grows by doubling the previous output with each increment of the input: start with 1, you double it to get 2, then you double it to get 4, 8 and so on.

On the other hand, the linear function adds 7 with each step. This means that the exponential function will eventually reach and pass the linear one, and will definitely be grater from that point on. In fact, if we continue the table, we get

$\begin{array}{c|c|c}\text{x value}&\text{linear}&\text{exponential}\n4&28&8\n5&35&16\n6&42&32\n7&49&64\n8&56&128\n9&63&256\end{array}$