After 2 years, a certain car is worth $16600. When it is 9 years old, the same car is then worth
$9950.

Find the equation of the line in this situation.

Identify the slope for this situation and interpret it.


Identify the y - intercept for this situation and interpret it.


Identify the x - intercept for this situation and interpret it.

Answers

Answer 1

The linear function that describes the situation is:

y = -950x + 18500.

The slope of -950 means that the price of the car decays $950 per year.The y-intercept of 18500 means that the initial value of the car is of $18,500.The x-intercept of 19.47 means that the value of car is of $0 after 19.47 years.

What is a linear function?

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.

In this problem, in 7 years, the price of the car decays by $6,650, hence the slope is given by:

m = -6650/7 = -950.

The slope of -950 means that the price of the car decays $950 per year.

Then, the equation is:

y = -950x + b.

After 2 years, a certain car is worth $16600, hence when x = 2, y = 16600, and:

16600 = -950(2) + b

b = 18500.

The equation is:

y = -950x + 18500.

The y-intercept of 18500 means that the initial value of the car is of $18,500.

The x-intercept is found when y = 0, hence:

-950x + 18500 = 0.

x = 18500/950

x = 19.47.

The x-intercept of 19.47 means that the value of car is of $0 after 19.47 years.

More can be learned about linear functions at https://brainly.com/question/24808124


Related Questions

99 PTS PLS HELP! Data Set 1 has a mean of 152.7 and a MAD of 2.5.

Data Set 2 has a mean of 170.2 and a MAD of 1.7.

What can be concluded about the two distributions?

Select each correct answer.


The means-to-MAD ratio is 10.

The distributions are different.

The distributions are somewhat similar.

The means-to-MAD ratio is 7.

Answers

Answer:

the means to and reroof is 10

the distributions are somewhat similar

Step-by-step explanation:

Fill in the missing term on each line. Simplify any fractions.
4t + 11 = 19
4t =
Subtract 11 from both sides
t =
Divide both sides by 4

Answers

Answer:

Step-by-step explanation:

4t + 11 = 19

Subtract 11 from both sides

4t = 19 - 11

4t = 8

Divide both sides by 4

t = 8/4

t = 2

if josh gives 13 fried fish and molly eats 10 how many left are there

Answers

Answer:

13-10=3 hence, the Q of ans is 3

Josh gives 13 FISH
Molly ate 10 FISH

13 - 10 = 3

So there are 3 left

PLEASE HELP ME WITH THIS QUESTION

Answers

Answer:

The second option, 1,008 cm²

Step-by-step explanation:

   This shape has 5 sides to solve for with reguards to surface area.

   Let us solve for them all.

[1 & 2 - the triangles]

12 * 9 = 108 cm²

-> I am not going to divide since we have 2 congruent triangles

[3 - the bottom side]

25 * 12 = 300 cm²

[4 - the side facing away]

25 * 9 = 225 cm²

[5 - the side facing up]

25 * 15 = 375 cm²

   Now we will add them together for the total.

108 + 300 + 225 + 375 = 1,008 cm²

             The surface area for the triangular prism shown is 1,008 cm².

Answer:

Your answer would be:
C.) 1,350 cm2

Volume = 0.5 x b x h x length

0.5 x (25 x 12) x 9 =
0.5 x 300 x 9 =
= 1,350 cm2




Step-by-step explanation:

Have a great rest of your day
#TheWizzer

I need help with this question?

Answers

Answer:

38.5 cm²

Find area of the full rectangle:

Length * Width

6 * 7

42 cm²

Find area of the missing triangle

1/2 * base * height

1/2 * 7 * 1

3.5 cm²

Area of the figure:

42 - 3.5

38.5 cm²

Karen drew a triangle with side lengths 3 centimeters, 4 centimeters, and 5 centimeters. What is the perimeter of the triangle?​

Answers

Answer:

12 cm

Explanation:

The formula or method to find the area of any shape is to go around the shape.

In this case, they are 3, 4 and 5.

p = 3 + 4 + 5

p = 12 cm

Please Help i Need this asap and i dont know

Answers

Answer: Its 1,110

Step-by-step explanation:

If the total profit per month is Rs 200,000 and the revenue per month can be obtained twice the cost per month minus 50,000, find the revenue and cost per month

Answers

Step-by-step explanation:

200,000 X 50,000 = 100000000

If the total profit per month is Rs 200,000 and the revenue per month can be obtained twice the cost per month minus 50,000 then  the revenue per month is 2083 and the cost per month is 25000

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given,

If the total profit per month is Rs 200,000

Revenue per month can be obtained twice the cost per month minus 50,000

2x-50000

2x=50000

x=25000

So cost per month is 25000

The revenue per month is 25000/12

2083

Hence, the revenue per month is 2083 and the cost per month is 25000

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

AB is a diameter. 48° B A What is the measure of BC? 180° 84 42° 96°​

Answers

Answer:

84°

Step-by-step explanation:

The central angle of a circle is twice any inscribed angle subtended by the same arc.

because AB is a diameter, we also know that the triangle angle at C is 90° (all the inscribed triangles with their baseline being a diameter are right-angled).

as always, the sum of all angles in a triangle is 180°.

so, we know the triangle angle at A is

180 - 90 - 48 = 42°.

this is also the inscribed angle of the arc BC.

the central angle for arc BC (that is what is requested here) is then twice that angle : 2×42 = 84°

How to change account to have access to tutor

Answers

You need to buy Brainly pro, it’s a monthly subscription.

go into settings and click on subscription

Which of the following is equivalent to
x
2
+
5
x
+
1
=
0
?

Answers

Answer:

x=  -1/7

Step-by-step explanation:

2x + 5x + 1 = 0

7x = -1

x =  -1/7

I need help with this question

Answers

                                                                                                                                                               

Step-by-step explanation:

                           

x – 5 ÷ 3 + b
6b + 15b ÷ 3
c - 2c × 4

PLEASE ANSWER ITS CONFUSING

Answers

Hey there!


Basically for all of your equations/questions you have to COMBINE the LIKE TERMS (if they are any in the particular equation you have)

/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\/\

QUESTION/EQUATION #1

x - 5 ÷ 3 + b

We pretty much CANNOT do anything to this equation because it doesn’t have that many like terms.

So, thus your answer will most likely be/

[b + x - 5 ÷ 3]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

QUESTION/EQUATION #2

6b + 15b ÷ 3

= 21b ÷ 3

= 7b

Thus, your answer is: [7b]
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
QUESTION/EQUATION #3

c - 2c × 4

REWRITE

= 1c - 2c × 4

COMBINE the LIKE TERMS

= 1c - 7

= -7c
Thus, your answer is: [-7c]

Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Jorge's math grade is calculated using a weighted average. Quizzes are worth 30%, homework is worth 10%, unit tests are worth 40%, and the final exam is worth 20%.

Jorge earned an average of 92% on his quizzes, 98% on his homework, 91% on his unit tests, and a score of 95% on his final exam.

What is Jorge's final math grade?

Answers

By rewriting the weights in decimal form and applying them to the correspondent percentages, we will see that the final grade is 92.8%.

What is Jore's final math grade?

The final grade will be given by:

G = a₁*x₁ + a₂*x₂ + ...

Where the values "a" are the weights, and the values "x" are the averages of Jeorge.

We know that the weights are:

30% on Quizzes.10% on homework40% on unit test.20% on the final exam.

Then we can write the weights in decimal form:

a₁ = 0.3

a₂ = 0.1

a₃ = 0.4

a₄ = 0.2

And the scores are:

92% on quizzes.98% on homework91% on unit tests95% on final exam.

So the final math grade will be:

G = 0.3*92 + 0.1*98 + 0.4*91 + 0.2*95 = 92.8%

If you want to learn more about percentages, you can read:

https://brainly.com/question/843074

Answer:

the answer is 92.8%

Step-by-step explanation:

need help with this question please

Answers

Answer:

your answer is correct

Step-by-step explanation:

What numbers round to 200,000 when rounded to the nearest hundred thousand? Select all that apply.

Answers

Answers: Choice C and Choice D

165,400 and 220,574

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

Explanation:

The value in the hundred thousands digit of 165,400 is "1". Just to right of it is "6", which is five or more, meaning we bump that "1" up to "2". Everything else gets replaced with a zero.

The number 165,400 rounds to 200,000 when rounding to the nearest hundred thousand. The number 165,400 is closer to 200,000 than it is to 100,000.

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

In 220,574 we have the first "2" in the  hundred thousands digit with another "2" just to the right of it. Since that second "2" is not five or more, we replace everything with zeros to get 200,000. We won't bump that first "2" up by one.

220,574 is closer to 200,000 than it is to 300,000.

These two sections help show why choices C and D are the answers.

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

Something like 142,026 rounds to 100,000 for similar reasoning as the previous section. So we can rule out choice B.

Choice A rounds to 100,000 as well, so we can rule it out also.

Choice D rounds to 1,000,000 which means we cross it off the list.

Match each equation to the situation it represents.

Answers

Answer:

First one is 10x + 5 = 35

Second one is 5x + 10 = 35

Third one is 35x + 5 = 10

Steve wants to download a selection of new music. How many ways can Steve select three rock songs, four alternative songs, and three rap songs from a list of eleven rock songs, five alternative songs, and four rap songs?

Answers

Using the combination formula, it is found that there are 3300 ways to choose the songs.

The order in which the musics are chosen is not important, hence the combination formula is used to solve this question.

What is the combination formula?

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

For the rock songs, we have three from a set of eleven, hence:

[tex]C_{11,3} = \frac{11!}{3!8!} = 165[/tex]

For the alternative songs, we have four from a set of five, hence:

[tex]C_{5,4} = \frac{5!}{4!1!} = 5[/tex]

For the rap songs, we have three from a set of four, hence:

[tex]C_{4,3} = \frac{4!}{3!1!} = 4[/tex]

Since the songs are independent, the total number of ways is given by:

[tex]T = 165 \times 5 \times 4 = 3300[/tex]

More can be learned about the combination formula at https://brainly.com/question/25821700

19 pints converted to gallons

Answers

Answer:

2.375

Step-by-step explanation:

Divide the volume value by 8

and you get the answer 2.375

Hope it helps

TC

have a great time

Woody has a lasso is 11ft long. No peep has a lasso that is 23ft longer than wordy how long is no peep lasso

Answers

Answer:

Bo Peep's lasso is 34ft long.

Step-by-step explanation:

Simply add 11 to 23.

Hope that helps!

Answer:

no peep lasso: 34ft

Step-by-step explanation:

11 + 23 = 34

(9 x 7) + 7 - 8 = ?
EXPLAIN HOW!

I give you 10 pts

Answers

Answer:

[tex]\huge\boxed{\bf\:62}[/tex]

Step-by-step explanation:

[tex](9*7) + 7 - 8 = ?[/tex]

We can solve this by using the PEMDAS concept where,

P = Parentheses E = Exponents M = Multiplication D = Division A = Addition S = Subtraction

So, to solve this, we need to solve the numbers in the parentheses by doing the requested operation (here it is, mutiplucation).

[tex](9*7) + 7 - 8\\= (63) + 7 - 8[/tex]

Now, by looking at the PEMDAS rule, we can see that the next step is addition (as, we don't have to divide in this question).

[tex](63) + 7 - 8\\= 63 + 7 - 8\\= 70 - 8[/tex]

Now, subtract 8 from 70 .

[tex]70 - 8\\= \boxed{\bf\:62}[/tex]

[tex]\rule{150pt}{2pt}[/tex]

The total amount of carbohydrates in 3.5 bagels is 167.37 grams. How many grams of carbohydrates would one bagel have?

Answers

Answer:

47.82 grams of carbohydrates.

Step-by-step explanation:

3.5 bagels have 167.37 grams of carbohydrates.

1 bagle = ???

In order for 3.5 to be 1 (just as we are asked) we need to divide by 3.5 both the amount of bagles and the amount of carbohydrates.

3.5 / 3.5 = 167.37 / 3.5

1 bagle = 47.82 grams of carbohydrates.

Sarah took out a 4-year loan for $17,000 to purchase a car. If the interest rate on the loan is 1.3% compounded monthly, how much will she pay in total over the 4 years? Round your answer to the hundredths place.

Answers

Answer:

ummm maybe 960

Step-by-step explanation:

I d k... if he made no payments it'd still be 8000 right?

Determine whether each ordered pair is a solution to the inequality x+y<−1.

Answers

Answer:

Choice A.  (10, -1)
Choice B.  (-8, 9)
Choice D.  (6, -3)

Step-by-step explanation:

If we plug the coordinates of point A into the inequality, then we get,
x+y > -2

10 + (-1) > -2
9 > -2
That last inequality is a true statement since 9 is to the right of -2 on the number line. That means (10,-1) is a solution. Choice A is one of the answers.
Choices B and D are also answers
for similar reasons.
Something like choice C is not a solution because
x+y > -2
-1+(-9) > -2
-10 > -2
Which is false.
You should find that choice E is false as well.

If you graphed the inequality and all of the points mentioned (see below), then you can visually confirm the answers. Notice how points A, B and D are in the blue shaded region which is the solution set.
The point E on the boundary does not count as a solution. This is due to the lack of "or equal to" portion of the inequality sign. That visually shows point E is not a solution. Point C isn't a solution either as it's nowhere near the blue shaded region.

Need Help Please!!

Determining the price for a product can be tricky! Companies often have to juggle several variables in order to find the price that maximizes their revenue. Currently, the price of a product is set at $100. The company is getting about 20 customers per week at this rate. The company has done some research and found that they lose two customers for every $5 they increase their price.

Let the variable ”x” represent the number of times the company increases the price by $5. What is the price of the product when x= 3?

Answers

Check the picture below.

Find the diameter of a circle with an
area of 99 yd?. Use your calculator's
value of pi and round your answer to
the nearest tenth

Answers

Answer: 832

Step-by-step explanation:

trust i got correct

Solve the equation.

−10x + 1 + 7x = 37

x = −15
x = −12
x = 12
x = 15

Answers

X=-12

-10x+1+7x=37
(-10x+7x)+1=37
-3x=37-1
-3x=36
X=36/-3
X=-12
Check
-10(-12)+1+7(-12)=37
120+1-84=37
37=37

Phoebe rounded a number to the nearest tenth and got 6.5. When she rounded it to the nearest whole number, she got 7. Which number could be the number she rounded?

Answers

Answer:

6.7

please give brainliest

Whats the value of the question

Answers

Answer:

8

----

125

Step-by-step explanation:

(2/5)³

2      2     2          8

--- x --- x ---  =  ---------

5      5     5         125

I hope this helps!

I really need help... can someone pls help me

Answers

Volume = length x width x height

Volume of large box = 4 x 3 x 5 = 60 cubic feet.


the volume of the smaller boxes is greater than the volume of the larger box so he cannot fit them all.

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