You purchased a new car for $32,000. The value
of the car decreases by 12% each year. Which
function could be used to model the value of the
car V after years?
a. V(t)=32,000(1+0.12)'
b. V()=32,000(1 -0.12)'
c. V(t)=32,000(0.12)'
d. V(t)=32,000 - 0.12r

Answer:

average rate of change = 2

Step-by-step explanation:

since f(x) is a linear function, then the slope is the measure of the average rate of change of f(x).

note the average rate of change is constant over any closed interval.

the equation of a linear function in slope- intercept form is

f(x) = mx + c ( m is the slope and c the y- intercept )

f(x) = 2x + 4 ← is in slope- intercept form

with slope m = 2

then average rate of change = 2

The value of interquartile range (IQR) of the data set which is plotted in the dot plot 1,2,3,3,4,4,4,6 is 1.5.

The interquartile range (IQR) of the data is the middle half of the data, which contains 2nd and 3rd quartiles.

Interquartile range is the difference of third quartile and first quartile.

IQR=Q₃-Q₁

In the dot plot below, the data is given as,

1,2,3,3,4,4,4,6

The first quartile is the medium of the lower half, while the third quartile is the medium of the upper half. For the above data,

Q_1=2.5

Q_3=4

Thus, Interquartile range is,

IQR=Q₃-Q₁

IQR=4-2.5

IQR=1.5

Hence, the value of interquartile range (IQR) of the data set which is plotted in the dot plot 1,2,3,3,4,4,4,6 is 1.5.

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Answer:

62.83

Step-by-step explanation:

Circumference=2 pi r

diameter=20

20*pi= about 62.83

so it sould be around 62.83

Answer:

70

Step-by-step explanation:

Substitute 4 in for x since x = 4:

5(2(4) + 6)

5(8 + 6)

5(14)

= 70

hope this helps!

Answer:

116.2

Step-by-step explanation:

The circumference formula is C= 2 (pi)r

Plugin our number

C=2(pi )18.5

Then mulitply and we get the product

116.24

round to the nearest tenth

116.24

The circumference of the circle to the nearest tenth is approximately 116.1 meters.

Circumference refers to the distance around the edge or boundary of a circular object or shape. It is the measurement of the total length of the circle.

The formula for the circumference of a circle is given by:

C = 2πr

where r is the radius of the circle and π (pi) is a mathematical constant approximately equal to 3.14159.

Substituting the given value of the radius into the formula, we get:

C = 2π(18.5)

= 37π

≈ 116.1

Therefore, the circumference of the circle to the nearest tenth is approximately 116.1 meters.

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Answer:

24%

Step-by-step explanation:

Lets consider it.

2 are white, and 3 are black.

2/5 chance of him getting white, and 3/5 chance of him getting black

So he successfully gets white on his first try.

2/5

Then he successfully gets black on his second try

2/5 * 3/5, or 6/25, or 24% of him getting white, then black.

This is all just middle school math, and I hope it helps :)

Some examples:

With each example, any item or person in the subset is also found in the original set (but not vice versa). For example, any dog is an animal but not the other way around.

If you were to draw a venn diagram, then the larger circle is the set of all animals, while the subset of all dogs is a smaller circle drawn completely inside the larger one.

Those examples listed above is of course not the complete list of set & subset combos. Feel free to get creative and think of others.

Answer:

1100

Step-by-step explanation:

After rounding,

3200 - 2100 = 1100

Answer:

B

Step-by-step explanation:

Answer:

3*16= 48 ounce to fill birdseed

Answer:

34

Step-by-step explanation:

Because to find the diameter simply multiply the radius by 2

17 x 2 = 34

Hope this helps!

Answer:

i dont know if im correct cause i know nothing about math

Step-by-step explanation:

18.6? my answer

Answer:

The answer is 24.8

Step-by-step explanation:

after you add the total ans subtract it gives you 24.8

Answer:

n = -48

Step-by-step explanation:

Use the attachment for a full explanation.

A quadratic equation graph is a graph depicting the values of all the roots of the quadratic equation.

The value of b and c is zero.

A quadratic equation is said to be any polynomial equation of degree 2 or an equation that is in the form;

[tex]\rm ax^ 2 + bx + c = 0[/tex]

A quadratic equation graph is a graph depicting the values of all the roots of the quadratic equation.

Let us have a quadratic equation which is;

[tex]\rm x^2+5x+6[/tex]

On comparing with the standard equation of quadratic formula;

a = 1, b = 5, and c = 6

The equation is;

[tex]\rm y=x^2\\\\[/tex]

In this case the value of a = 1, b = 0, and c =0.

Hence, the value of b and c is zero.

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The height of the right cone given its volume and its diameter is  47 units.

A cone is a three-dimensional object that has a circular base and a vertex.

Height of the cone = Volume of a cone ÷ 1/3(πr²)

Where:

3525π÷ (1/3 x π x 15²) = 47 units

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The choices are equivalent to the expression correct choices are A, C, and D.

The given expression is

x^3 /5

The expression consists of numbers and arithmetic operators. It does not contain equality or inequality symbols.

[tex]a^{\frac{m}{n} =\sqrt[n]{a^m}[/tex]

Therefore the above power rule implies that,

[tex]x^{(\frac{3}{5}) }=\sqrt[5]{x^3}[/tex]

Also, we have the power rule

[tex](a^m)}^n=a^{mn}[/tex]

[tex]x^{\frac{3}5} =(x^3)^{\frac{1}{5}[/tex]

or it can be written as

[tex]x^{\frac{3}{5} =(\sqrt[5]{x})^3[/tex]

The correct choices are A, C, D.

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39 is separated into two parts 9 and 30

Step-by-step explanation:

The given is:

Separate 39 into two parts

4 times the smaller part exceeds the larger part by 6

Assume that the smaller part is x and the larger part is y

∵ 39 is separate into two parts x and y

∴ x + y = 39 ⇒ (1)

∵ x is the smaller part

∵ y is the larger part

∵ 4 times the smaller part exceeds the larger part by 6

- Multiply x by 4 and subtract y from it to get 6

∴ 4x - y = 6 ⇒ (2)

Now we have a system of equations to solve it

Add equations (1) and (2) to eliminate y

∵ (x + 4x) + (y - y) = (39 + 6)

∴ 5x = 45

- Divide both sides by 5

∴ x = 9

Substitute the value of x in equation (1) to find y

∴ 9 + y = 39

- Subtract 9 from both sides

∴ y = 30

∴ The smaller part is 9 and the larger part is 30

39 is separated into two parts 9 and 30

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Answer:

0.09

Step-by-step explanation:

So if you use the Simple interest equation it will begin with:
Interest total = Initial Amount of money x Interest rate per year x Years money is invested for.

Then substitute the values you have been given so:

$6300 = 7000 x Interest rate per year x 10.

This is simplifies to 6300 = 70,000 x Annual Interest rate

You can rearrange this to find the annual interest rate by dividing by 70,000:
[tex]\frac{6300}{70000} = Interest\ rate[/tex]

Simplifying this would be:
[tex]\frac{63}{700}\\[/tex] = Interest rate.

The interest rate is 0.09.

Answer: y is 7 and x is 17

Step-by-step explanation:

x is the bigger numbr

y is the smol numbr

x + y = 24

x - y = 10

x = 17

y = 7

Answer:

15

Step-by-step explanation:

7x3=21

21-6=15

the word times means to multiply a number the said amount of times for example

cat has 5 sticks. Roger has 2 times as many sticks as cat. the equation is 5 × 2 that would equal 10. :)

Answer:

A & B

Step-by-step explanation:

the rest are incorrect because sinx = 8/15 and cscx = 15/8

Answer:

-6.3

Step-by-step explanation:

4.2x, if x = 0, then y = -6.3

Answer:

D

Step-by-step explanation:

The coordinate plane in option D contains both the points (1 1/2, 4) and (-2, -2 1/2).

Answer:

B

Step-by-step explanation:

[tex]9 \frac{7}{12} - 4 \frac{3}{12} = 5\frac{4}{12} = 5 \frac{1}{3} [/tex]

41.6/2.6 = 16

therefore into 16 parts

hope it helps...!!!

Answer:

63.35

Step-by-step explanation:

1. Remember the sector formula which is Ø/360 x pi x radius squared

2. Square the radius (11 in this question)

3. 11 squared is 121

4. Get the answer from the squared radius and multiply it by pi

5. 121 times pi is 380.13

6. Mulitply the final number on that side by the degree over 360

7. 380.13 times 60/360 is 63.35

8. In the end you get 63.35 or if rounding to the nearest tenth 63.4

Hope this helps! Correct me if im wrong! :) Have a nice day!

The minima of the quadratic function is at the vertex, it is at  (2, -4).

First, we can see that our function is a quadratic function of positive leading coefficient. So it opens upwards.

Then we will only have a minima, which is located in the vertex of the parabola.

Remember that for:

y = a*x^2 + b*x + c

The x-value of the vertex is h = -b/2a

Then for g(x) = x^2 - 4x we have:

h = -(-4)/2*1 = 2

And the y-value of the vertex is:

g(2) = 2^2 - 4*2 = -4

Meaning that the minima of the function g(x) is (2, -4).

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The exact location of all the relative and absolute extrema of the function is (2, -4).

First, we can see that our function is a quadratic function of the positive leading coefficient.

Then we will only have a minimum, which is located in the vertex of the parabola.

The equation of the parabola is;

[tex]\rm y = ax^2 + bx + c[/tex]

The x-value of the vertex is h = -b/2a

Then for g(x) = x^2 - 4x we have:

h = -(-4)/2*1 = 2

And the y-value of the vertex is:

g(2) = 2^2 - 4*2 = -4

Meaning that the minima of the function g(x) are (2, -4).

Hence, the exact location of all the relative and absolute extrema of the function is (2, -4).

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Answer:

Jeremiah make $66,500 in his 9th year

Step-by-step explanation:

3,500*9=31,500

35,000+31,500=66,500

Answer:

63000

Step-by-step explanation

The Area of Triangle UVW be 16 squared units.

The area of a triangle is equal to half the product of its base and height, i.e., A = 1/2 × b × h.

Area of triangle I = [tex]\frac{1}{2} *b*h[/tex]

                            = 0.5  x 4 x 4

                          = 8 units

Area of triangle II= [tex]\frac{1}{2} *b*h[/tex]

                            = 0.5 x 2 x 6

                           = 6 units

Area of triangle III = [tex]\frac{1}{2} *b*h[/tex]

                              = 0.5 x 2 x 6

                              = 6 units

Area of rectangle = length x breadth

                               = 6 x 6

                               = 36units

Area of triangle UVW = Area of rectangle -(Area triangle I + Area of                          

                                      triangle II +Area of triangle III)

                                   = 36 - ( 8 + 6 + 6)

                                   = 36 - 20

                                   = 16 square units

Hence the Area of Triangle UVW = 16 square units.

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=======================================================

Work Shown:

d = diameter = 18 ft

pi = 3.14 approximately

C = circumference

C = pi*d

C = 3.14*18

C = 56.52

The distance around the circle's edge (aka perimeter) is about 56.52 feet

The result is approximate since pi = 3.14 is approximate.