If a new car is valued at $26,000 and 10 years later it is valued at $7000, then what is the average rate of change
of its value during those 10 years?

Answers

Answer 1

Answer:

The change in value is 19,000 altogether and 1900/year

Step-by-step explanation:

Change in value:

initial value - final value

= $26,000 - $7000

= $19,000

Change in value/year:

change in value/time

= $19,000/10

= $1900/year


Related Questions

If triangles ADE and ABC shown in the
figure to the right are similar, what is the
value of x?

Answers

The answer is A. 4.
x=4

Step-by-step explanation:

similar means that (with all angles being the same) the side lengths of one triangle all correlate to the corresponding side lengths of the second triangle by the same factor.

and so, because AD = 2 is 1/3 of AB = 4+2 = 6, we need to apply the same factor 1/3 to x compared to 12.

12 × 1/3 = 4.

so, A is correct.

It is estimated that 89% of senior citizens suffer from sleep disorders and 9% suffer from anxiety. Moreover, 5% of senior citizens suffer from both sleep disorders and anxiety.

(a)Find the probability that a senior citizen suffers from anxiety, given that he or she has a sleep disorder. Round your answer to the nearest hundredth.

(b)Given that a senior citizen suffers from anxiety, what is the probability that he or she also suffers from a sleep disorder? Round your answer to the nearest hundredth.

Answers

For a;

[tex]P(a | sd) = p(a AND sd)/P(sd) = 0.06/(0.89) = 0.674[/tex]

For b;

[tex]P(ds | a) = P(ds AND a)/P(a) = 0.06/0.09 =\frac{2}{3}[/tex]

If my calculations are incorrect, then sorry ;/

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How many fifths are there in the fraction 21/5?

Answers

Answer:

21

Step-by-step explanation:

1/5 x 21 = 21/5

What is the area of the figure?

Answers

Answer:

So the answer would be 21 because the side is longer than 12 but not longer than 21

cos^2(90)+cos^2(120)+cos^2(135)+cos^2(150)+cos^2(180)​

Answers

Answer:

97

Step-by-step explanation:


Vika made $35,500 last year. If her income is increased by 10.5%, what is her adjusted income,
Ai? (show equation).

Answers

Answer:

  $39,227.50

Step-by-step explanation:

Vika's income will be ...

  $35,500 + 10.5%×35,500 = $35,500(1 +0.105) = $39,227.50

Vika's adjusted income is $39,227.50.

PLEASE ANSWER QUICKLY 100 POINTS!!!! Simplify the expression below. (See picture below) What is the numerator of the simplified expression?

Answers

Answer:

13N+26/9n-26/3

Step-by-step explanation:

Answer:

13N+26/9n-26/3

Step-by-step explanation:

Mark as brainliest

greg drove 300 miles at a constant speed for 5 hours. the speed limit is 70 miles per hour. was his rate grater than the speed limit?

Answers

Answer:

No.

Step-by-step explanation:

To find the rate for how many miles Greg drove for 5 hours, we need to divide 300 by 5:

300 / 5 = 60.

60 miles represents the speed for 1 hour.

60<70.

The inequality indicates that his rate (60 miles per hour) is less than the speed limit.

A company that teaches self-improvement seminars is holding one of its seminars in Middletown. The company pays a flat fee of $117 to rent a facility in which to hold each session. Additionally, for every attendee who registers, the company must spend $14 to purchase books and supplies. Each attendee will pay $15 for the seminar. Once a certain number of attendee register, the company will be breaking even. How many attendees will that take? What will be the company's total expenses and revenues?

Answers

Answers:

To reach the breakeven point, how many attendees will that take?     117  

What will be the company's total expenses and revenues?      $1755  for each  

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

Explanation:

x = number of attendees

C(x) = cost function for the company

C(x) = 14x+117

This is because the company pays $14 per person, so x of them accounts for 14x dollars. Then we add on the flat fee of $117 to get 14x+117 dollars overall.

In contrast, the revenue is

R(x) = 15x

because each attendee brings in $15 for the company

The breakeven point is when the cost and revenue are the same. This produces a profit of $0.

R(x) = C(x)

15x = 14x+117

15x-14x = 117

x = 117

If 117 people attend the seminar, then the company breaks even.

To check this, we'll compute the cost and revenue

C(x) = 14x+117

C(117) = 14*117+117

C(117) = 1755

R(x) = 15x

R(117) = 15*117

R(117) =  1755

The cost and revenue is $1755 for each. Because we get the same value, this confirms the correct x value.

Since 117 people is the breakeven point, the company should aim for an attendee count above this, so they can get a positive profit. At some point, there is a max capacity so x can't go up forever.

Verizon charges a $100 initial contract fee, then $70 a month for a basic cell phone plan.

What is the rate of change or slope in this problem?

Write the equation y=mx+b that would fit this problem.

Answers

Using a linear function, it is found that the slope of the problem is of $70.

A linear function for a cost is modeled by:

[tex]C(t) = C(0) + at[/tex]

in which:

C(0) is the fixed cost.a is the monthly cost, which is the slope.

Verizon charges a $100 initial contract fee, then $70 a month for a basic cell phone plan, then:

[tex]C(t) = 100 + 70t[/tex]

Then, the slope of the problem is of $70.

To learn more about linear functions, you can take a look at https://brainly.com/question/16302622

Write an equation of a line that is parallel to y = -3x + 5 and passes through (0, 3).
Answer in slope-intercept form

Answers

Answer:

A line parallel to this one would have a slope of 3. where m is the slope and b is the y intercept. In this case, the equation y=3x+5 is already in slope intercept form, which means the slope is 3. Parellel lines have the same slope, so any other line with slope 3 is parallel to this line.

I think that's the answer

Answer: y = -3x - 3

Step-by-step explanation:

If you are looking for a line that is parallel, then it must have the same gradient

Therefore;

y= -3x +c

And because it passes through (0,3), substitute in the values to find c

3 = -3 x 0 + c

c = 3

So the equations would be y = -3x -3

Dose any one know the answers for geometry A: A semester exam
PLZ I NEED HELP FAST!!

Answers

Answer:

Step-by-step explanation:

82 +9=5000 thank me later

PLEASEEEE WILL GIVE BRAINLIEST TO FIRST RIGHT ANSWER!!!!!!!!!!

Find the solution of the system of equations.
-2x-6y=50
-2x+9y=-40

Answers

Answer:

i think x = -7, y = -6

Step-by-step explanation:

good luck

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Answers

Answer:

y=(5/6)x

Step-by-step explanation:

its how much it rises over how much it runs. so it goes up 5 and to the right 6

Answer:

Step-by-step explanation:

The y intercept is 0. The point that holds the y intercept is (0,0)

The slope is

m = y / x

y = 10

x = 12

m = 10/12

m = 5/6

The equation is y = 5/6 x which looks like D

PLEASE HELP ASAP! I WILL GIVE BRAINLIEST JUST PLEASE HELP

Answers

Answer:

38cm squared

Step-by-step explanation:

Please help me with this math problem!! :) NO LINKS PLEASE!!

Answers

Answer:

2 more

Step-by-step explanation:

you can only get 1 of everything 2 times

this is - the outfit she already made

3 - 1 = 2   - 1 = 1

7 - 1 = 6   - 1 = 5

4 - 1 = 3   - 1 = 2

2 - 1 = 1    - 1 = 0

√x - 5+ x = 7
please help me out :)

Answers

The answer is X = 1, x=4

(3)
Lea wants to make two pillows for her new couch. She needs 3 square yards of fabric for the first pillow and 1, square
yards of fabric for the second pillow. Lea wants to know how much fabric she will have to buy for both pillows.
Which expression represents the total number of square yards of fabric she needs for both pillows?

Answers

The expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z

let

x = first pillow

y = second pillow

fabrics needed for first pillow = 3 yards

fabrics needed for second pillow = 1 yards

z = Total square yards needed

The equation:

3x + y = z

Therefore, the expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z

Learn more about equation:

https://brainly.com/question/4916384

Answer:The expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z

let

x = first pillow

y = second pillow

fabrics needed for first pillow = 3 yards

fabrics needed for second pillow = 1 yards

z = Total square yards needed

The equation:

3x + y = z

Therefore, the expression which represents the total number of square yards of fabric she needs for both pillows is 3x + y = z

Step-by-step explanation:

Heather works 40 hours a week and she earns $11. 50 per hour. When Heather works over 40 hours, her pay is 1. 5 times her hourly pay. How much does Heather earn if she works 46 hours in one week?.

Answers

11.5 x 40 is 460
11.5 x 1.5 is 17.25
17.25 x 6 is 103.5
103.5 + 460 is 563.5
the answer is $563.50

The amount that Heather earns if she works 46 hours in one week is; $563.5

Amount she earns per hour if she works for 40 hours a week = $11.5 per hour

If she works over 40 hours, her hourly pay is 1.5 times the previous rate.

Thus;

Amount she earned for 40 hours is;

11.5 × 40 = $460

Amount she earned for the 6 extra hours to make it 46 hours is;

1.5 × 11.5 × 6 = $103.5

Total amount she earned for the 46 hours = $460 + $103.5 = $563.5

Read more on proportion word problems at; https://brainly.com/question/160640

please answer!!!!!!!!!!!!!!!!!

Answers

The answer is B, the green is f(x)=x^2 and the red one is g(x)=f(2x).

28 less than twice a number is equal to 6 . Find the number.

Answers

28 less than twice a number is equal to 6.Let the number be x.Therefore, by the problem[tex]2x - 28 = 6 \\ = > 2x = 6 + 28 \\ = > 2x = 34 \\ = > x = \frac{34}{2} \\ = > x = 17[/tex]

Answer:

x = 17

Hope you could get an idea from here.

Doubt clarification - use comment section.

3.9 as a improper fraction

Answers

Answer:

18/5

Step-by-step explanation:

simple division mm m m k l k obkbono

Answer:

39/10

Step-by-step explanation:

I promise you correct answer ur welcome

PLEASE HELP ASAP GOD BLESS YOU If YOU HELP ME IT WILL RAISE MY GRADE

Answers

Answer:

Hi i think its option 3 maybe just wait until someone else helps but i say option 3 but gl anyways

Step-by-step explanation:

The Answer is Option 3.

Explain how to use the distributive property to find an expression that is equivalent to 20+16.

Answers

Answer:

Explain how to use the distributive property to find an expression that is equivalent to 20 + 16. First, I would find that the GCF of 20 and 16 is 4. Then, I would divide both 20 and 16 by 4. Last, I would use the distributive property to write the sum as 4(5 + 4).

How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!

Answers

Answer: C) Today's soup will taste the same

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

Explanation:

The usual recipe has 9 tomatoes for every 12 bowls. This forms the ratio 9:12.

Divide both parts of the ratio by 12 to end up with 0.75:1

9/12 = 0.7512/12 = 1

The ratio 0.75:1 means that there are 0.75 tomatoes for each bowl.

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

Then the restaurant updates the recipe to involve 6 tomatoes for every 8 bowls, leading to the ratio 6:8. Divide both parts by 8

6/8 = 0.758/8 = 1

The ratio 6:8 is the same as 0.75:1

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

We get the same ratio (0.75:1) each time we turn that second number into a 1, which means that each bowl involves the same number of tomatoes. Therefore, the taste should be the same.

Of course the concept of taste is subjective, meaning that the taste could easily vary over time even if you involved the same number of tomatoes. Also, the taste may vary from person to person. However, there should be an objective way to measure the "tomato"ness of each bowl.

What is the function of the line with a slope of 1/5
that goes through the point (-1,5)

Answers

Y= Mx+c

Y= 1/5x + c

Now you can find see by simply just replacing with the given points

5=1/5(-1)+c

C= 26/5

Final answer:

Y= 1/5x+26/5

How do I factor this problem?

Answers

Answer = 7x(4x-1) . Hope it helps.

Answer:

[tex]7x(4x-1)[/tex]

Step-by-step explanation:

First, find the largest integer that divides evenly into both numbers. In this case, 28 and 7 are both divisible by 7.

Next, find the highest degree of the variable that divides evenly into both. Here, that's just x. I'll show another example of that below.

Multiply those together, and you get 7x. That is what we need to factor out. Divide by that factor while multiplying by that factor at the same time to keep the value of the expression equal:

[tex]28x^2-7x\\\\7x(\frac{28x^2}{7x}-\frac{7x}{7x})\\\\7x(4x-1)[/tex]

Another example of what I said above would be this:

Take 4x + 2. The largest integer that divides these is 2, and the highest degree of x that divides them is 0. That is an x⁰, and that is equal to 1. Multiply those, and you just get 2.

[tex]4x+2\\\\2(\frac{4x}{2}+\frac{2}{2})\\\\2(2x+1)[/tex]

Hannah is making cakes for the bake sale at her school. Each cake requires 1 1/2 cups of sugar. How many complete cakes can Hanna make if she has 6 3/4 cups of sugar?

Help please ? :)​

Answers

Answer:

4

Step-by-step explanation:

Divide 6 3/4 by 1 1/2

Convert into improper fractions, 27/4 and 3/2

[tex]\frac{27}{4} / \frac{3}{2}[/tex]

[tex]\frac{27}{4} * \frac{2}{3}[/tex]

[tex]\frac{9}{2} = 4.5[/tex]

The question asks for the number of whole cakes, so the answer would be 4.

Answer : 4

Step - by - step explanation :

In - order to find out how many cakes Hannah can make we need to find out how many 1 1/2 cups of sugar she has . . .

what is 6 3/4 divided by 1 1/2 --> 6 3/4 divided by 1 2/4 ?  4 1/2

SO ! Hannah can make 4 complete cakes

how to solve improper fractions to mixed numbers with example?

Answers

Answer: If it was the other way around I would have helped you  

Step-by-step explanation:

e.g.    

The following is a conversion table for hours and minutes. Which numbers belong in the hours column?

1, 2, 3
1, 2, 4
2, 3, 4
2, 5, 6

Answers

Answer:

2,3,4

Step-by-step explanation:

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