The resale value of a certain car when purchased new is $20,000. The car is expected to lose 10% of its value each year.
Which graph shows the predicted value of the car over time?
HELPPPP I’M GIVING 18 points ASAP




The graph that shows the predicted value of the car over time is the
a. Red graph, 1
b. Blue graph, g
c. Green graph, h
d. Orange graph, k

This makes sense because it’s y-intercept is at
a. 10,000
b. 20,000

And it
a. Increases
b. Decreases

The value of a is 6 and the value of b is 7

The function is given as:

h(x) = a . sin(x - π/2) + b

From the table of values, we have:

x = π/2 when y = 7

So, we have:

a . sin(π/2 - π/2) + b = 7

Evaluate the difference

a . sin(0) + b = 7

Evaluate the value of sin(0)

a . 0 + b = 7

Evaluate the product of a and 0

b = 7

Substitute b = 7 in h(x) = a . sin(x - π/2) + b

h(x) = a . sin(x - π/2) + 7

From the table of values, we have:

x = π when y = 13

So, we have:

a . sin(π - π/2) + 7 = 13

Evaluate the difference

a . sin(π/2) + 7 = 13

Subtract 7 from both sides

a . sin(π/2)  = 6

Evaluate sin(π/2)

a . 1 = 6

Divide both sides by 1

a = 6

Hence, the value of a is 6 and the value of b is 7

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Step-by-step explanation:

Direct variation is essentially a linear equation, where there is a constant rate. Direct variation can be applied to many things, and we can use it to represent how much money someone has in their bank account after "x" weeks if they're depositing a constant amount of money each week.

So a practical example would be: If someone just opened a bank account and deposits $50 every week, how many weeks will it take for them to have $400 in their account.

So the slope is given in the question, it's $50, since their depositing that constant amount each week. So this gives us the equation: [tex]y=50x[/tex] where x represents the amount of weeks. The y represents the amount of money they have, and since we want to find when this equals 400, we set the y=400, and then solve for x. This gives us the equation: [tex]400=50x[/tex]. Dividing both sides by 50 you get: [tex]8=x[/tex]. So it'll take 8 weeks to have $400 dollars, if you deposit 50 dollars each week.

Step-by-step explanation:

The function f(x) is vertically compressed to form g(x)

The functions are given as

f(x) =x^2

g(x) =3x^2

Substitute f(x) =x^2 in g(x) =3x^2

g(x) =3f(x)

This means that the function f(x) is vertically compressed to form g(x)

See attachment for the function g(x)

Also, both functions have the same domain and range

The complete table is:

x      -2    -1    0   1    2

g(x)  12    3    0    3   12

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Answer:

Step-by-step explanation:

1 1/6 + (x/3 · 1/4) = 1 3/4

solve for x

1 1/6 + x/12 = 1 3/4

1 1/6 - 1 3/4 = -x/12

-7/12 = -x/12

-7 = -x

x = 7

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

check

1 1/6 + (7/12 * 1/4) = 1 3/4

1 1/6 + 7/48 = 1 3/4

1 15/16 = 1 3/4

1 3/4 = 1 3/4

the answer is good

Answer:

3x - 4/2

Step-by-step explanation:

2 result(s) for "f(x) = 4x³ - 10 g(x)

Answer:

Slope: 1

Y-intercept: -1

Step-by-step explanation:

The line passes the y-axis at -1, the rise/run, which is used to calculate the slope is 2/2, and it equals to 1, so the slope is 1.

I hope it helps! Have a great day!

bren~  

One can easily convert the temperature using temperature conversion formula given below

K = [tex]\frac{5(F - 32)}{9} + 273.15[/tex]

where F = degrees in Fahrenheit

K = degrees in Kelvin

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The solution to the given inequality is x < -6

For the number line, an open circle will be drawn on the value of -6 and the arrow pointing to the left side.

Given the inequality expression as shown

6x + 6 < -30

Subtract 6 from both sides

6x < -30 - 6

6x < -36

Divide through by 6

x < -36/6

x < -6

For the number line, an open circle will be drawn on the value of -6 and the arrow pointing to the left side.

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Answer:

-12

Step-by-step explanation:

First, solve in parentheses.

2(-2-4)

=

2(-6)

Next, multiply 2 by -6.

Which equals -12.

So therefore using the distributive property shown above, the answer would be -12.

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{What is the distributive formula?}[/tex]

[tex]\mathsf{a(b + c)}[/tex]

[tex]\mathsf{= a(b) + a(c)}[/tex]

[tex]\mathsf{= ab + ac}[/tex]

[tex]\huge\textbf{What is the equation?}[/tex]

[tex]\mathsf{2(-2 - 4)}[/tex]

[tex]\huge\textbf{What are we simplifying?}[/tex]

[tex]\mathsf{2(-2 - 4)}[/tex]

[tex]\mathsf{= 2(-2) + 2(-4)}[/tex]

[tex]\mathsf{= -4 - 8}[/tex]

[tex]\mathsf{= -12}[/tex]

[tex]\huge\textbf{How are you going to translate to}\\\\\huge\textbf{easier terms?}[/tex]

[tex]\mathsf{2(-2 - 4)}[/tex]

[tex]\mathsf{= 2(-6)}[/tex]

[tex]\mathsf{= -12}[/tex]

[tex]\huge\textbf{What is the ANSWER to the question?}[/tex]

[tex]\huge\boxed{\mathsf{-12}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

The maximum amount of people that can go to the amusement park is 15.

Step-by-step explanation:

First you create an equation to represent the question

8.75+25.75x≤420

You put the less than or equal to sign because 420 is the maximum amount of money.

Now you just solve the equation.

25.75x≤420-8.75

25.75x≤411.25

x≤411.25/25.75

x≤15.9708738

Then you have to round down because you cant have .9 of a person.

So x≤15

Then, Check your solution

8.75+(25.75 x 15)≤420

8.75+386.25≤420

395≤420

That is true. But to make sure that is the maximum add another 25.75

395+25.75≤420

420.75≤420

This is equation is false so, our answer is correct.

The maximum amount of people that can go to the amusement park is 15.

The pen is [tex]15.78[/tex] centimeters long when scale is [tex]7[/tex] inches long and pen is [tex]2cm[/tex] shorter then the scale.

How to find the how much long is the pen ?

Scale is [tex]7 inches[/tex] long and

We know that

[tex]7inches=17.78cm[/tex]

And pen is [tex]2cm[/tex] shorten then the scale

So the length of the pen is

[tex]=17.78-2\\=15.78cm[/tex]

[tex]=6.21 inches[/tex]

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Using it's concept, the standard deviation of the data-set is of 2.39.

The mean of the data-set in this problem is given by:

M = (6.5 + 11.2 + 13 + 6.3 + 7 + 8.8 + 7.4)/7 = 8.6.

Hence the standard deviation is:

[tex]S = \sqrt{\frac{(6.5-8.6)^2+(11.2-8.6)^2+(13-8.6)^2+(6.3-8.6)^2+(7-8.6)^2+(8.8-8.6)^2+(7.4-8.6)^2}{7}} = 2.39[/tex]

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Answer:

298

Step-by-step explanation:

All perfect squares from 100-200 inclusive:

100, 121, 144, 169, 196

100+1=101, 101 is prime

121+2=123, 123=41*3 so its not prime

144+1=145 145=29*5 so its not prime

169+2=171 171=9*19 so its not prime

196+1=197, 197 is prime

101+197=298

Notice that I excluded all even numbers because they are obviously composite.

Answer:

b

Step-by-step explanation:

Bat Graphs represent discrete data. They are spaced and don't touch to represent a discrete value.

Histograms represent continuous data. They are close and connected to represent variation in continuous data.

Using your own examples, explain why all statements are sentences but not all sentences are statements. Clearly indicate which type of non-statement you have used in each case. (Your response should be between 500 and 600 words).

Answer:

0.285714 -> 0.29

Step-by-step explanation:

Using an exponential function, it is found that the decay rate is of 6.24% a year.

A decaying exponential function is modeled by:

[tex]A(t) = A(0)(1 - r)^t[/tex]

In which:

The half-life is of 10.75 years, hence A(10.75) = 0.5A(0) and this is used to find the decay rate r.

[tex]A(t) = A(0)(1 - r)^t[/tex]

[tex]0.5A(0) = A(0)(1 - r)^{10.75}[/tex]

[tex](1 - r)^{10.75} = 0.5[/tex]

[tex]\sqrt[10.75]{(1 - r)^{10.75}} = \sqrt[10.75]{0.5}[/tex]

[tex]1 - r = (0.5)^{\frac{1}{10.75}}[/tex]

1 - r = 0.9376.

r = 1 - 0.9376.

r = 0.0624.

The decay rate is of 6.24% a year.

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The table so fined below based on the information given about the function.

The table based on the function given will be:

Plan A. Plan B

Monday. 10. 30

Tuesday. 20. 40

Wednesday. 40. 50

Thursday. 80. 60

Friday. 160. 70

A is illustrated as it's double minutes for each day. B is illustrated by adding 10min each day.

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Answer:

5 apples

Step-by-step explanation:

4 friends + Robby = 5 people

25 apples in total ÷ 5 people

= 5 apples per person

Mercury travels a distance of 153 461 500 kilometers on its orbit.

The statement indicates that Mercury has a circular orbit and indicates the central angle covered by translation. The distance traveled is found by definition of circular arc:

s = (2.65 rad) · (57 910 000 km)

s = 153 461 500 km

Please notice that the radius of translation is the distance from the Sun to Mercury.

Mercury travels a distance of 153 461 500 kilometers on its orbit.

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Answer: 18

Step-by-step explanation:

There are 12 months in a year. The club made 3 exhibits each month. 3 times 12 is 36. They made twice as many as last year, so divide 36 by 2 and you get 18.

I hope this helps!

Answer:

2y+6

Step-by-step explanation:

first, pull out the 2 from the top to separate the equation

second, factor out y

third, cancel out the common factor of y-1

fourth, remove the parenthesis from 2(y+3)

answer = 2y+6

The solution to the equation using the completing the square are 2 and -3

These are equation that has a leading degree of 2. Given the equation below

-x^2 +x+6=0

This can also be written as

x^2-x-6 = 0

Complete the square

x^2-x = 6

x^2-x+ (1/2)^2 = 6 + (1/2)^2

(x-1/2)^2 = 6 + 1/4

(x+1/2)^2 = 25/4

x+1/2 = ±√25/4

x = 5/2 -1/2  or -5/2-1/2

x = 4/2  or -6/2

x = 2 and -3

Hence the solution to the equation using the completing the square are 2 and -3

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[tex]\frac{119}{780}[/tex] fraction of the whole piece you play middle C.

To find  for what fraction of the whole piece do you play middle C:

Since 7 out of every 13 beats in the finale are played at middle C, [tex]\frac{7}{13}[/tex] the finale is played at middle C.

The finale is 17 measures out of a 60-measure piece or [tex]\frac{17}{60}[/tex] of the whole piece.

[tex]\frac{7}{13}[/tex] of [tex]\frac{17}{60}[/tex] is [tex]\frac{7}{13}[/tex] x [tex]\frac{17}{60} = \frac{119}{780}[/tex]

Therefore,  [tex]\frac{119}{780}[/tex] for a fraction of the whole piece you play middle C.

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The dimension of the length and width of the rectangle with the given perimeter are 33ft and 16.5ft respectively.

Perimeter of rectangle is expressed as;

P = 2( l + w )

Given that;

We substitute into the formular above.

P = 2( l + w )

99ft = 2( x + 2x )

99ft = 2x + 4x

99ft = 6x

x = 99ft/6

x = 16.5ft

Width = x = 16.5ft

Length = 2x = 2( 16.5ft ) = 33ft

Therefore, the dimension of the length and width of the rectangle with the given perimeter are 33ft and 16.5ft respectively.

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Answer: 16x - 2

Step-by-step explanation:

The perimeter of a figure is the total length of all sides of the figure. Since this figure is a rectangle, opposite sides have the same length.

Therefore, the perimeter of the picture frame can be modeled by

[tex]6x+3+2x-4+6x+3+2x-4[/tex]

Moving all like terms together, we get

[tex]6x+2x+6x+2x+3-4+3-4[/tex]

Finally, combining these terms, we get

[tex]16x -2[/tex]

In a convex pentagon, the measure of angle D is 132°.

If a planar polygon has all the line segments connecting any given pair of its points, it is said to be convex pentagon.

Properties of a Convex Polygon are-

Calculation for the measure of angle D.

The sum of the interior angles  = 540°

Let A, B , C  =   D - 40

And let  E  = D

So we have

A + B + C + D + E  = 540

(D - 40) + (D - 40)  + (D - 40)  + D + D  =  540

5D  - 120  = 540

5D = 660

D = 660 / 5  

D =  132°

Therefore, the measure of angle D is 132°.

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Based on the given polynomial, the degree of the polynomial can be calculated to be 1.

the degree of the polynomial is defined as the highest exponential degree or power in a polynomial.

from the above, we see that the highest power is 1 from 8x¹.

the degree of the polynomial is therefore 1.

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Answer: a

/////////////////

Answer:

The correct answer is  A.

Step-by-step explanation:

The absolute value of any number is always positive.

Answer:

3x^2 - 7x =0

x(3x-7) = 0

3x - 7 = 0

3x =7

x= 7/3