In 1990 the cost of tuition at a state university was 4300. The tuition increased at a rate of 4% each year.

a) How much would it cost to attend in 2010?
b) How much will it cost to attend in 2025?​

Answer:

-4

Step-by-step explanation:

Answer:s

slope of -4x-3: m=-4

Answer:

1. Median

2. Point of Concurrency

3. Centroid

4. Incenter

5. Concurrent Lines

6. Circumcenter

7. Altitude

8. Orthocenter  

9. Vertices

(I'm not sure if the entirety of the vocabulary words are accurate, but they make sense.)

Answer:

Answer choice D

Step-by-step explanation:

So we need to get r to the right side. First we can multiply by 3 to get rid of the fraction:

3V=4[tex]\pi[/tex][tex]r^{3}[/tex]

Then we can divide both sides by 4[tex]\pi[/tex] to get r by itself:

[tex]\frac{3V}{4\pi } = r^{3}[/tex]

Then cube both sides:

[tex]\sqrt[3]{\frac{3V}{4\pi } } =r\\[/tex]

Answer choice D

Step-by-step explanation:

A function f(x) has an inverse, or is one-to-one, if and only if the graph y = f(x) passes the horizontal line test. A graph represents a one-to-one function if and only if it passes both the vertical and the horizontal line tests.

you can tell if the graph is inverse if f(x) passes the horizontal line test ( basically if it touches the line that goes across *horizontally* on the graph) and a graph is a one to one function if and ONLY if it touches both vertical and horizontal lines on the graph

Answer:

Step-by-step explanation:

12). By applying Pythagoras theorem in the given right triangle,

      Hypotenuse² = (Leg 1)² + (Leg 2)²

      x² = 7² + 7²

      x² = 2(7)²

      x = [tex]\sqrt{2(7)^{2} }[/tex]

      x = [tex]7\sqrt{2}[/tex]

13). By sine rule,

      sin(60)° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

      [tex]\frac{\sqrt{3}}{2}=\frac{9\sqrt{3} }{y}[/tex]

      y = [tex]\frac{18\sqrt{3} }{\sqrt{3} }[/tex]

      y = 18

      By cosine rule,

      cos(60)° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

      [tex]\frac{1}{2}=\frac{x}{y}[/tex]

      x = [tex]\frac{y}{2}[/tex]

      x = [tex]\frac{18}{2}=9[/tex]

14). By applying Pythagoras theorem in the given right triangle,

      12² = x² + x²

      144 = 2x²

      72 = x²

      x = √72

      x = 6√2

Hey there!

The solution to the system is [tex](\frac{1}{2}, 13)[/tex]

To solve the system, we can multiply the second equation by -1:

[tex]-2x - y = -12[/tex]

Then, we add the two equations together, and solve for x:

[tex]4x = -2[/tex]

[tex]x = \frac{-1}{2}[/tex]

Now, we plug the x value into one of the equations, and solve for y:

[tex]2(\frac{1}{2} ) + y = 12[/tex]

[tex]-2 + y = 12[/tex]

[tex]y = 13[/tex]

Now we know that the solution to the system is [tex](\frac{1}{2}, 13)[/tex]

Hope it helps and have an amazing day!

Answer:

(-1/2, 13)

Step-by-step explanation:

Multiply the 2nd equation by -1, obtaining the following system:

6x + y = 10

-2x  - y = -12

------------------

Combine like terms, obtaining:

6x + y = 10

-2x  - y = -12

------------------

4x     = -2

Dividing both sides by 4 yields x = -2/4, or x = -1/2

Substituting -1/2 for x in the second equation yields:

2(-1/2) + y = 12, or

-1 + y = 12.  Then y = 13, and the solution is

(-1/2, 13)

Answer:

The 2 angles are supplementary.  This means they have to add up to 180 degrees.  The first angle is 8x and the second is x+27.  So set both of them equal to 180.

8x + x + 27 = 180

9x = 153

x = 17

Angle 1 = 8(17) = 136

Angle 2 = (17) + 27 = 44

Check: Angle 1 + Angle 2 = 180

136 + 44 = 180

Step-by-step explanation:

Answer:

the answer is SAS

side angle side

Answer:

89.03

Step-by-step explanation:

29x3.07=89.03

Answer:

Hmmmmmmmmm I think it’s 10....?

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

6 + 0 = 0 + 6 = 6

12 X (3 X 9)

2 + 6x

3 + 7 + 8 = 7 + __ + 3

27 - 108

-15 - 5m

(6 + 5) + 1

8x + 28

26 X 1 = 1 X 26 = 26

24 + 4s

Step-by-step explanation:

i hope this helps :))

Answer:

Triangle ADB is an isosceles triangle that has been split in half. Isosceles triangles are triangles whose base angles are equal and has 2 equal side lengths. For example triangle ADB has AD and DB equal along with m<a and m<b equal

Therefore, if we split this triangle into two half's then they are congruent (the same)

Right triangles have a 90° angle, usually marked by a square

this means that m<DCA is 90°;AD=DB=14m; CB=AC=11; AB=AC+CB=22

Step-by-step explanation:

Answer:

The correct option is C) Yes; the change in x is constant and the change in y is constant.

Step-by-step explanation:

Consider the table shown.

x     y

0    8

1     1

2   -6

3   -13

Now observe the changes in x and y coordinates, if changes are constant then the given function is linear.

Consider the change in x coordinate.

1-0=1,  2-1=1 and 3-2=1

Now consider the change in y coordinate.

1-8=-7,  -6-1=-7  and -13-(-6)=-13+6=-7

Since the change in x and y is constant the given relationship is linear.

Therefore, the correct option is (C) Yes; the change in x is constant and the change in y is constant.

Answer:

r = d/2

Step-by-step explanation:

The radius is always the diameter divided by 2. Hope this helps :)

Answer:

48/2 or d/2

Step-by-step explanation:

radius is half the diameter because its starts from the center. so if the diameters 48 feet, you have to divide it by 2 and get 24 feet.

Answer:

22.5

Step-by-step explanation:

You subtract 3 from both sides and then divide 2 from both sides which should look like this

3(2x)=48

-3      -3

2x=45

-:- 2

x=22.5

The question is incomplete :

The amount sabrina earns varies directly with the number boxes of cookies she sells.How much does Sabrina earn for eah box of cookies that she sells?

Earning (y) : ____ 5 ____ 10 ____ 15 ____ 20

Boxes sold (x) :__ 2 ____ 4 _____ 6 ____ 8

Answer:

$2.5

Step-by-step explanation:

Given:

Earning varies directly as the number of boxes of cookies sold

y α x

y = kx - - - (1)

k = constant of proportionality (earning per box of cookies sold)

Taking any 2 points :

y = 10 ; x = 4

10 = k4

10 = 4k

Divide both sides by 4

10/4 = 4k/4

2.5 = k

Hence, the amount earned per box of cookies sold is $2.5

Answer:

On the side length of the triangle

Step-by-step explanation:

On the side length of the triangle

Answer:

angle side angle

Step-by-step explanation:

Answer:

Answer

Step-by-step explanation:

Answer:

I(20) is 600 dollars

Step-by-step explanation:

From the given function, I(p) = p(50 - p)

Where I is the income in dollars and p is price dollars.

To determine I(20), that is, to determine the income in dollars when the ticket price is 20 dollars.

From

I(p) = p(50 - p)

When p = 20

Then,

I(20) = 20(50 - 20)

I(20) = 20(30)

I(20) = 20 × 30

I(20) = 600

Hence, I(20) is 600 dollars

That is, the income is 600 dollars when the ticket price is 20 dollars.

Answer:

Step-by-step explanation:

1). Slope of a line passing through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

   m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

   Therefore, slope of the line passing through two points (2, -10) and (-2, 18) will be,

   m = [tex]\frac{-10-18}{2+2}[/tex]

  m = -7

2). From the table attached,

    Slope of the line = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

    Slope of line passing through (4, -6) and (0, -2) will be,

    Slope = [tex]\frac{-6+2}{4-0}[/tex]

    Slope = -1

Answer:

£129.60

Step-by-step explanation:

10% =  £16.2

20% = £32.4

£162 - £32.40 = £129.60

9514 1404 393

Answer:

  2.89 m

Step-by-step explanation:

The attached shows the figure drawn accurately. It also shows that the angle of the line of sight is 102° -90° = 12° below the horizontal. The sine relation is useful in this situation.

The side opposite the angle in the triangle of interest is the difference in building heights, 5.3 -4.7 = 0.6 m. So, the useful relation is ...

  Sin = Opposite/Hypotenuse

  sin(12°) = (0.6 m)/(PR)

  PR = (0.6 m)/sin(12°) ≈ 2.886 m

  PR ≈ 2.89 m

The distance to the subject is about 2.89 meters.

Answer:

The different measuring instruments to be used in the economic/business system of the new civilization is discussed below in detail.

Step-by-step explanation:

Economics is the research of how people allocate limited resources for generation, circulation, and consumption, both personally and collectively.

Two significant types of economics are microeconomics, which concentrates on the performance of individual customers and generators, and macroeconomics, which measures overall economies on a local, nationwide, or global scale.

Economics is especially concerned with performance in generation and exchange and practices models and opinions to assume how to generate incentives and procedures that will maximize productivity.

Economists formulate and announce numerous economic symbols, such as the Consumer Price Index (CPI). and gross domestic product (GDP).

Capitalism, communism, and socialism are examples of economic systems.

Answer:

The equation of perpendicular bisector is:

[tex]y = 2x-2[/tex]

Step-by-step explanation:

Given the points

First, we need to find the midpoint of the points (-4, 3) and (8, -3)

[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-4,\:3\right),\:\left(x_2,\:y_2\right)=\left(8,\:-3\right)[/tex]

[tex]=\left(\frac{8-4}{2},\:\frac{-3+3}{2}\right)[/tex]

[tex]=\left(2,\:0\right)[/tex]

Thus, the midpoint of the points is: (2, 0)

Now, finding the slope between (-4, 3) and (8, -3)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-4,\:3\right),\:\left(x_2,\:y_2\right)=\left(8,\:-3\right)[/tex]

[tex]m=-\frac{1}{2}[/tex]

Therefore, the slope m = -1/2

The slope of the line perpendicular to the segment = [-1] / [-1/2] = 2

Using the point-slope form of the equation of the line, the equation of perpendicular bisector is:

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line

substituting the slope 2 and the point (2, 0)

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y - 0 = 2 (x-2)[/tex]

[tex]y = 2x-2[/tex]

Therefore, the equation of perpendicular bisector is:

[tex]y = 2x-2[/tex]

Answer:

The solutions for both system of equations are as follows:

Step-by-step explanation:

The first set of equations is:

[tex]4x+6y=32\\3x-6y=3\\[/tex]

It can clearly be seen that the coefficients of y are already same in magnitude with different signs so we have to add both equations

So adding both equations, we get

[tex]4x+6y+3x-6y = 32+3\\7x = 35\\\frac{7x}{7} = \frac{35}{7}\\x = 5[/tex]

Putting x=5 in equation 1

[tex]4(5)+6y = 32\\20+6y = 32\\6y = 32-20\\6y = 12\\\frac{6y}{6} = \frac{12}{6}\\y = 2[/tex]

The solution is (5,2)

The second set of simultaneous equations is:

[tex]-3x+5y=-113x+7y=-1[/tex]

We can see that the coefficients of x in both equations are same in magnitude with opposite signs so

Adding both equations

[tex]-3x+5y+3x+7y = -11-1\\12y = -12\\\frac{12y}{12} = \frac{-12}{12}\\y = -1[/tex]

Putting y= -1 in first equation

[tex]-3x+5(-1)=-11\\-3x-5=-11\\-3x=-11+5\\-3x=-6\\\frac{-3x}{-3} = \frac{-6}{-3}\\x = 2[/tex]

The solution is: (2,-1)

Hence,

The solutions for both system of equations are as follows: