A new car is purchased for $ 41 , 000 $41,000 and over time its value depreciates by one half every 3 years. What is the value of the car 17 years after it was purchased, to the nearest hundred dollars?

Answer:

10

Step-by-step explanation:

[tex]\triangle CDE \sim \triangle GDF.. (given) \\\\

\therefore \frac{CD}{GD} =\frac{DE}{DF}.. (csst) \\\\

\therefore \frac{15}{x+3} =\frac{3x+1}{4}\\\\ \therefore \: 15 \times 4 = (x + 3)(3x + 1) \\ \\ \therefore \: 60 = 3 {x}^{2} + x + 9x + 3 \\ \\ \therefore 3 {x}^{2} + 10x + 3 - 60 = 0 \\ \therefore 3 {x}^{2} + 10x - 57 = 0 \\ \therefore 3 {x}^{2} + 19x - 9x - 57 = 0 \\ \therefore \: x(3x + 19) - 3(3x + 19) = 0 \\\therefore \: (3x + 19)(x - 3) = 0 \\ \therefore \: 3x + 19 = 0 \: \: or \: \: x - 3 = 0 \\ \therefore \: x = - \frac{19}{3} \: \: or \: \: x = 3 \\ \because \: x \: can \: not \: be \: - ve \\ \therefore \: x = 3 \\ ED = 3x + 1 = 3 \times 3 + 1 \\ \huge \red{ \boxed{ ED= 10}}[/tex]

If triangle CDE ~ GDF , then length of ED is 10 unit.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion

In Triangles CDE and GDF,  sides CD and DG , sides ED and DF are corresponding sides.

So, these corresponding sides will be in proportion.

               [tex]\frac{CD}{DG}=\frac{ED}{DF}\\\\\frac{15}{x+3}=\frac{3x+1}{4}\\\\(3x+1)*(x+3)=60\\\\3x^{2} +10x-57=0\\\\3x^{2} +19x-9x-57=0\\\\x(3x+19) -3(3x+19)=0\\\\(x-3)(3x+19)=0\\\\x=3,x=-19/3[/tex]

Since, side can not be negative. Therefore, x= 3

         [tex]ED=3x+1=3(3)+1=10 unit.\\[/tex]

Thus,  length of ED is 10 unit.

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Answer:

9/10

Step-by-step explanation:

1/2+2/5= 5/10+4/10= 9/10

Answer:

9/10

Step-by-step explanation:

You first need to find the Least Common Denominator, which is ten. Next, multiply the numerator by what you multiplied the denominator to get 10. You should have 5/10+4/10. Combine like terms to get 9/10

TL:DR

5/10+4/10

9/10

The side lengths ( 8, 15, 17 ) and ( 15, 20, 25 ) form a right-angle triangle.

A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.

According to the given problem,

We know, in a right-triangle,

Hypotenuse² = Perpendicular² + Base²

For sides, 8, 15, 17

⇒ Hypotenuse ² = 8² + 15²

⇒ Hypotenuse² = 64 + 225

⇒ Hypotenuse = √289

⇒ Hypotenuse = 17

For sides, 15, 20, 25,

⇒ Hypotenuse² = 15² + 20²

⇒ Hypotenuse² = 225 + 400

⇒ Hypotenuse = √625

⇒ Hypotenuse = 25

Hence, we cam conclude, the sides, ( 8, 15, 17 ) and ( 15, 20, 25 ) form a right-triangle.

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Answer:

6 hrs

Step-by-step explanation: If Im reading corectly your saying that Mrs. Perry is painting for 4 hours plus Mr. Chesah painting for 2 hours (half of 4 hours) Add them up and get 6 hrs.  I hope this is what you meant.

To find out how long it would take Mrs. Perry and Mr. Chesah to paint the office together, we can use the idea of work completion rate. When two people work together, their work completion rates are added. Therefore, if they work together, it would take them 1 hour and 20 minutes to paint the office.

To find out how long it would take Mrs. Perry and Mr. Chesah to paint the office together, we can use the idea of work completion rate. Let's say that Mrs. Perry can paint 1 office in 4 hours, which means her work completion rate is 1/4 offices per hour. Since Mr. Chesah can paint the same office in half the time, his work completion rate is 1/2 offices per hour.

When two people work together, their work completion rates are added. So, the combined work completion rate of Mrs. Perry and Mr. Chesah is 1/4 + 1/2 = 3/4 offices per hour.

To determine how long it would take them together to paint Perry's office, we can take the reciprocal of the combined work completion rate. This gives us 4/3 hours, which is equivalent to 1 hour and 20 minutes. Therefore, if they work together, it would take them 1 hour and 20 minutes to paint the office.

To determine the amount of the drug per dosage, we need to convert the weight of the person from pounds to kilograms and multiply it by the dosage of 21 mg per kg per day. Then, we divide the total amount by 2 to get the amount of the drug per dosage.

To determine the amount of the drug per dosage, we need to convert the weight of the person from pounds to kilograms. Since 1 kilogram is equal to 2.2 pounds, we can divide the weight in pounds by 2.2 to get the weight in kilograms. In this case, 181 pounds is approximately 82.27 kilograms.

Next, we multiply the weight in kilograms by the dosage of 21 mg per kg per day. This gives us the total amount of the drug needed per day. In this case, the total amount is approximately 1728.67 mg.

Since the drug is divided into two doses every 12 hours, we divide the total amount by 2 to get the amount of the drug per dosage. Each dosage should be approximately 864.34 mg.

Final answer:

To determine the amount of the drug that should be given each dosage, convert the weight from pounds to kilograms and multiply by the dosage of 21 mg per kg per day. The person should receive approximately 862.05 mg of the drug each dosage.

Explanation:

To determine the amount of the drug that should be given each dosage, we first need to convert the weight of the person from pounds to kilograms. 181 pounds is approximately equal to 82.10 kilograms. Next, we multiply the weight in kilograms by the dosage of 21 mg per kg per day. Thus, the person should receive approximately 1724.10 mg of the drug per day. Because the dosage is divided into two doses, they should receive approximately 862.05 mg of the drug each dosage.

Answer:

x=19

Step-by-step explanation:

The total angle in a straight line is 180 degrees.

To work this out you would first add 7 and 4 to -2, this gives you 9. Then you would minus 9 from 180, which gives you 171. This is because you are removing the extra numbers and so all you are left with is the x's. Then you would add 5x and x and 3x, which gives you 9x. Then you would divide 171 by 9, which gives you 19.

1) Add 7 and 4 and -2.

[tex]7+4+(-2)=9[/tex]

2) Minus 9 from 180.

[tex]180-9=171[/tex]

3) Add 5x and x and 3x.

[tex]5x+x+3x=9x[/tex]

4) Divide 171 by 9.

[tex]171/9=19[/tex]

5) [tex]x=19[/tex]

The sum of all the angles is 180 degrees because this is a supplementary angle.

5x + 4 + x - 2 + 3x + 7 = 180

Now you can combine like terms:

(5x + x + 3x) + (4 - 2 + 7) = 180

9x + 9 = 180

Now you must isolate x:

9x + 9 - 9 = 180 - 9

9x + 0 = 171

9x = 171

9x/9 = 171/9

x = 19

Check:

5(19) + 4 + 19 - 2 + 3(19) + 7

95 + 4 + 19 - 2 + 57 + 7

180

Hope this helped! Let me know if you have any further questions

~Just a girl in love with Shawn Mendes

Answer:x=5

Step-by-step explanation: x^2−2x−15=0

(x−5)=0                                                                                                                      x−5=0                                                                                                                             x=5                                                                                                                                                                                                              

Answer:

You have to factor the equation and the way you do this is to find two numbers that multiply to get -15 and add to get -2 and those numbers are 3 and -5 so the factors are (x+3) and (x-5)

You set them equal to 0 and solve for x

x+3=0           x=-3

x-5=0            x=5

SO THERE YOU HAVE IT: x=5!

Have a nice day!!!

-dsk-

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer C (x + 1) is correct; if we let x + 1 equal 0, we get the root (x-intercept) -1, which appears on this graph

X + 1 must be a factor of the polynomial graphed

How to find the factor

The factor is solved using the points where the graph intersects the x-axis.

This points are called the roots

Examining the graph the roots are x = -1 and x = 4

Hence x + 1 must be a factor

Answer:

0,5/4

Step-by-step explanation:

4k·2= 5k

4·2k= 5k

8k=5k

Please mark me brainliest if the helped (I need it)

Answer:

x=15

Step-by-step explanation:

Definition of Isosceles triangle --- two side lengths are always equal!

Answer: 15

Step-by-step explanation: By looking at the shape, you can tell it's the exact same size.

Answer:

f = 5/6

Step-by-step explanation:

5(4f + 3) - 2f

= 20f + 15 - 2f

= 18f + 15

18f = 15

f = 15/18

f = 5/6

Answer: y = 7

Step-by-step explanation:

y = 3(4) - 5

y = 12 - 5

y = 7

Answer:

y=12

Step-by-step explanation:

Substitute the given value into the function and evaluate.

(Plug in your input to get your output, in this case, x=4)

y=3(4)-5

y=12-5

y=12

The answer is y=12.

Answer: (-2,7)

Step-by-step explanation:

Answer:

The answer is c

Because it reflects over the y axis,soo the x axis stays the same

But the y dosent stay the same it turns into a negative

Brainliest plz

Happy to help

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

If Angle A ≅ Angle T, then the triangles would be congruent by ASA

If Angle B ≅ Angle P, then the triangles would be congruent by AAS.

Step-by-step explanation:

It's already given that side AC and side TQ are congruent, and angle BCA and angle PQT are congruent too. So if angle A and angle T were congruent, this would be the ASA Theorem. And if angle B were to be congruent to angle P, this would be the AAS Theorem.

Since you only need to pick 2 answer choices, you can stop there.

If Angle A ≅ Angle T, then the triangles would be congruent by ASA

If Angle B ≅ Angle P, then the triangles would be congruent by AAS.

Since

Sides A C and T Q are congruent. Angles B C A and P Q T are congruent.

So here we can say that side AC and side TQ are congruent, and angle BCA and angle PQT are congruent too. So in the case when angle A and angle T were congruent, this would be the ASA Theorem. And if angle B were to be congruent to angle P, this would be the AAS Theorem.

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Answer:

1.The measures of center are the same.

3.There is little variability in the data.

4.The average temperature is 98.

5.The data is clustered around the mean.

Step-by-step explanation:

Answer:1,3,4,5

Step-by-step explanation:i did the quiz

Answer:

There is a cluster from 3 to 4.

There is a gap between 1 and 3.

There is a peak at 4.

The data is skewed left.

Step-by-step explanation:

Edg

The correct statements are as follows:-

Scatter plots are graphs that show how two variables in a data collection relate to one another. On a two-dimensional plane or in a Cartesian system, it represents data points.

The right statements for the dot plots are as follows:-

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Answer:

233 in^3

Step-by-step explanation:

First we will find the volume of the square at the bottom

V = s^3  where s is the side length

V = 5^3

V = 125 in^3

Then we will find the volume of the rectangular prism at the top

V = l*w*h

V = 12*3*3

V =108 in^3

The total volume is the sum of the two volumes

V = 125+108

    = 233 in^3

Answer:

233 in³

Step-by-step explanation:

Cube + cuboid

(5×5×5) + (3×3×12)

233 in³

Answer:

There are 10,000 possible combinations that the digits 0-9 can be arranged to form a 4-digit pin code

Step-by-step explanation:

Answer:

10k

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation:

This sequence is that you should multiply the number by 4 and one number should be positive the other should be negative so

5 -20 80 -320 1280

Answer:

The common difference of the sequence is -7

Step-by-step explanation:

Because each time the the numbers are going down by minus 7

The common difference of this sequence is, - 7

And, One formula for the sequence is,

⇒ a (n) = 67 - 7n

And, The tenth term for this sequence is,

⇒ a (10) = - 3

An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.

Given that;

The sequence is,

⇒ 60, 53, 46, 39, 32, 25, ...

Now, The common difference of this sequence is,

⇒ 53 - 60

⇒ - 7

And, One formula for the sequence is,

⇒ a (n) = a + (n - 1) d

⇒ a (n) = 60 + (n - 1) (- 7)

⇒ a (n) = 60 - 7n + 7

⇒ a (n) = 67 - 7n

And, The tenth term for this sequence is,

⇒ a (n) = 67 - 7n

⇒ a (10) = 67 - 7 x 10

⇒ a (10) = 67 - 70

⇒ a (10) = - 3

Thus, The common difference of this sequence is, - 7

And, One formula for the sequence is,

⇒ a (n) = 67 - 7n

And, The tenth term for this sequence is,

⇒ a (10) = - 3

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Answer:

220

Step-by-step explanation:

plug it into surface area formula for rectangular prisms

A=2(wl+hl+hw)

Answer:

The answer will be

$56,000

Step-by-step explanation:

40 times 28 times 50

Answer:

ok its 6969 np btw <3;)

Answer:

-1 and 8/9

Step-by-step explanation:

Answer:

The answer would be -19/9

Wait bro you already got it