The value of a car can be modeled by the equation y = 24,000(0.845)t where t is the number of

years since the car was purchased.

a. After how many years will the value of the car be $10,000?


b. Use the model to predict the value of the car after 50 years. Is this a reasonable value?

Explain.

Answer:

Step-by-step explanation:

Are we suppose to solve for something or what there are no instructions

Answer:

x = 136°

Step-by-step explanation:

We can use a theorem to help us.

Theorem:

The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.

For exterior angle x, the remote interior angles are z and <CBD.

From the theorem, we get this equation.

x = z + m<CBD

We know z = 52°.

We need to find m<CBD.

Angles CBD and y are a linear pair. They are supplementary, so the sum of their measures is 180°. We are given y = 96°.

m<CBD + y = 180°

m<CBD + 96° = 180°

m<CBD = 84°

x = z + m<CBD

x = 52° + 84°

x = 136°

Answer:

x = 136°

Step-by-step explanation:

∠ABD = y = 96°, ∠ABD + ∠DBC must be equal to 180° because they form a straight angle.

[tex]y + B = 180\\96 + B = 180\\B = 180 - 96 = 84[/tex]

∠BDC = z = 52° and ∠DBC = B = 84.

Angles ∠BDC, ∠DBC, and ∠BCD must have a sum of 180° because the sum of the interior angles in a triangle is 180°.

[tex]180=(180 - y) + 52 + C\\180=(180 - 96) + 52 + C\\180 - (52 + 84) = C\\C = 44[/tex]

The interior angle at C is 44. Line DCE forms a straight line, therefore having an angle of 180°. To find x, the sum of x and interior angle C is 180°.

[tex]180 = C + x\\180 = 44 + x\\x = 180-44\\x = 136\\[/tex]

Angle ∠BCE = x = 136.

Answer:

b answer is correct answer

Answer:

The equation is y = x(x-12)

Vertex form

is y = a(x-6)^2 + 4

where a is -1/9

Step-by-step explanation:

For the general equation, we have the roots at x = 0 or x = 12

so we have x and x -12

So we have the equation as;

y = (x-0)(x-12)

y = x(x-12)

y = x^2 - 12x

The vertex form equation of a quadratic equation is;

y = a(x-h)^2 + k

where (h,k) represents the vertex which we have above as (6,4)

So while substituting 6 for h, we have 4 for k

So we have it that;

y = a(x-6)^2 + 4

Substituting 0 for x and 0 for y, we have it that;

0= a(0-6)^2 + 4

0 = 36a + 4

-4 = 36a

a = -4/36

a = -1/9

Answer:

Rational

Step-by-step explanation:

This number is rational because it can be expressed as a ratio between two numbers.

Answer: 21.2

Step-by-step explanation:

Answer: 22.2

Step-by-step explanation: the other person miss typed

Answer: C (1.25, 10.25)

Step-by-step explanation:

The ordered pair does not represent a point on the graph of y = 3x2 – x+7 is (1.25,10.25) .

The substitution method is a simple way to solve a system of linear equations algebraically and find the solutions of the variables. As the name suggests, it involves finding the value of x-variable in terms of y-variable from the first equation and then substituting or replacing the value of x-variable in the second equation.

According to the question

y = 3[tex]x^{2}[/tex] – x+7

ordered pair does not represent a point on the graph

For this we will use substitution method and substitute value of x and check whether it satisfy y or not , form options

Option A:  (-1.5,15.25)

x = -1.5

y = 15.25

substituting the value of x in equation

y = 3[tex]x^{2}[/tex] – x+7

y = 3[tex](-1.5)^{2}[/tex] + 1.5 + 7

y = 15.25

This is a point on graph as it satisfy the condition

Option B: (0.5,7.25)

x = 0.5

y = 7.25

substituting the value of x in equation

y = 3[tex]x^{2}[/tex] – x+7

y= 3[tex](0.5)^{2}[/tex]- 0.5 + 7

y = 7.25

This is a point on graph as it satisfy the condition

Option C:   (1.25,10.25)

x = 1.25

y = 10.25

y = 3[tex]x^{2}[/tex] – x+7

substituting the value of x in equation

y = 3[tex](1.25)^{2}[/tex] - 1.25 + 7

y = 10.4375

This is not a point on graph as it does not satisfy the condition

Option D:(2.5,23.25)

x = 2.5

y = 23.25

y = 3[tex]x^{2}[/tex] – x+7

substituting the value of x in equation

y = 3[tex](2.5)^{2}[/tex] - 2.5 + 7

y = 23.25

This is a point on graph as it satisfy the condition

Hence, the ordered pair does not represent a point on the graph of y = 3x2 – x+7 is (1.25,10.25) .

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Answer:

V = 628.4

Step-by-step explanation:

The formula for finding the volume of a square pyramid is V = [tex]a^2 \frac{h}{3}[/tex].

a = base

h = height

V = [tex]11.1^2 (\frac{15.3}{3})[/tex].

V = 628.371

V = 628.4

Answer:

56.6

Step-by-step explanation:

Answer:

c. 137°

Step-by-step explanation:

Answer:

[tex]X=6[/tex]

Step-by-step explanation:

From the question we are told that

Length [tex]l=2[/tex]

Height [tex]h=3/2[/tex]

Width [tex]w=1[/tex]

Generally the equation for Volume of the Rectangular prism is mathematically given by

 [tex]v=l*h*w[/tex]

 [tex]v=2*\frac{3}{2}*1[/tex]

 [tex]v=3m^3[/tex]

Therefore the number of half 1/2 inch cube X in v is

 [tex]X=\frac{v}{1/2}[/tex]

 [tex]X=6[/tex]

Answer:

-100-4√5

Step-by-step explanation:

Given the polynomial expression

p(x) = x³+x²+√5x + √5

p(-5) = (-5)³+(-5)² + √5(-5) + √5

p(-5) = -125 + 25 -5√5 + √5

p(-5) = -100-4√5

This gives the required answer

Answer:

A: 40%

B: 75%

C: 90%

Step-by-step explanation:

Answer:

A=40%

b=75%

c=90%

PART 2

605 is the 6th tick mark

.15 is halfway between the first and second tick mark

Answer:

a) adjacent angles, complementary angles

b) vertical angles, congruent angles

c) supplementary angles, adjacent angles

d) supplementary angles, adjacent angles

Step-by-step explanation:

Adjacent angles are angles that share a common vertex, ( usually angles that are right next to each other )

Complementary angles are angles that form a 90 degree angle  (  right angle )

Supplementary angles are angles that form a straight line

Vertical angles are angles that are vertically aligned with each other ( vertical angles are congruent )

Answer:

[tex]m\widehat{VU}=120^{\circ}[/tex]

Step-by-step explanation:

The angle [tex]\angle TUV[/tex] forms arc [tex]\widehat{TV}[/tex]. The measure of this arc is twice the measure of angle [tex]\angle TUV[/tex], since [tex]U[/tex] is a point on the circle. Since [tex]\overline{TU}[/tex] forms an arc [tex]\widehat{TU}[/tex], we can set up the following equation:

[tex]\widehat{TV}+\widehat{VU}=\widehat{TU}[/tex].

Since arc TU represents half of a circle and there are 360 degrees in a circle, we can substitute the following values and solve for the measure of arc VU:

[tex]\\2\cdot 30^{\circ}+\widehat{VU}=180^{\circ},\\60^{\circ}+\widehat{VU}=180^{\circ},\\m\widehat{VU}=\boxed{120^{\circ}}[/tex]

Answer:

look at the picture I have sent

Answer:

162

Step-by-step explanation:

189-11=178

178-7=171

171-6=165

165-3=162

To solve this problem, we simply need to plot the cosine graph.

The graph of cosine can easily be plotted and we can compare both together.

Kindly check the attached image and we can easily see the graph of

is option A.

Comparing the asymptotes together, it reveals more information on that.

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Answer:

Equation: 25.50x ≤ 200

7 video games

Step-by-step explanation:

25.50x ≤ 200

S would be the number of video games

25.50x ≤ 200           Divide both sides by 25.50 to isolate x

x ≤ 7.8...                    

Since he can't buy a fraction of a game, round 7.8 down to get 7 video games

Answer:

To find the area of a parallelogram, multiply the base by the height.

The formula is: A = B x H where B is the base, H is the height.

Step-by-step explanation:

Answer:

give the question properly I will answer then

Given:

Consider the given terms of the sequence are:

20, 10, 5, ...

To find:

The type of sequence (arithmetic or geometric) and the common difference / ratio in simplest form.

Solution:

We have,

20, 10, 5, ...

Difference between consecutive terms are:

[tex]10-20=-10[/tex]

[tex]5-10=-5[/tex]

Since [tex]-10\neq -5[/tex], therefore the given sequence has no common difference, it means the given sequence is not arithmetic.

Ratio between consecutive terms are:

[tex]\dfrac{10}{20}=\dfrac{1}{2}[/tex]

[tex]\dfrac{5}{10}=\dfrac{1}{2}[/tex]

The given sequence has a common ratio [tex]\dfrac{1}{2}[/tex], it means the given sequence is a geometric sequence.

Therefore, the given sequence is a geometric sequence with common ratio [tex]\dfrac{1}{2}[/tex] it is also written as 0.5.

The value of solution of the equation is,

⇒ No real solution

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ 3x² = - 12

Now, We can simplify as;

⇒ 3x² = - 12

Divide by 3;

⇒ x² = - 12/3

⇒ x² = - 4

⇒ x = √- 4

⇒ x = 2i

Thus, The value of solution of the equation is,

⇒ No real solution

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Answer:

7

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

let the third side be x , then

x² + (4[tex]\sqrt{2}[/tex] )² = 9²

x² + 32 = 81 ( subtract 32 from both sides )

x² = 49 ( take the square root of both sides )

x = [tex]\sqrt{49}[/tex] = 7

Then the third side is 7

Answer:

Step-by-step explanation:

Notice that each new term is closer to +1 than was the previous term.  We can conclude tat the sequence converges to 1.

Answer:

17260

Step-by-step explanation:

multiply 14400 by 20%

After that add 14400 and 2880together

and you got the answer

Answer:

The original price would be $17,280

Step-by-step explanation:

14,400× 0.2= 2,880

14,400+ 2,880= 17,280