Mathematics High School

Jason estimates that his car loses 12% of its value every year. The initial value is $12,000. Which best describes the graph of the function that represents the value of the car after x years? f(x) = 12,000(0. 12)x, with a horizontal asymptote of y = 0 f(x) = 12,000(1. 12)x, with a vertical asymptote of x = 0 f(x) = 12,000(0. 88)x, with a horizontal asymptote of y = 0 f(x) = (12,000 0. 88)x, with a vertical asymptote of x = 0.

Answers

Answer 1

The graph that represents f(x) is [tex]f(x) = 12000(0.88)^x[/tex] with a horizontal asymptote at x = 0.

The given parameters are:

[tex]a = 12000[/tex] --- the initial value of the car

[tex]r = 12\%[/tex] -- the loss per year

The estimation is an illustration of an exponential function.

An exponential function is represented as:

[tex]y = a(1 -r)^x[/tex]

Rewrite as a function

[tex]f(x) = a(1 -r)^x[/tex]

Substitute values for (a) and (r)

[tex]f(x) = 12000(1 -12\%)^x[/tex]

Express 12% as decimal

[tex]f(x) = 12000(1 -0.12)^x[/tex]

Subtract 0.12 from 1

[tex]f(x) = 12000(0.88)^x[/tex]

The graph of f(x) has a horizontal asymptote at x = 0.

Hence, the graph that represents f(x) is [tex]f(x) = 12000(0.88)^x[/tex] with a horizontal asymptote at x = 0.

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Related Questions

1. A car engine is 25% efficient. How much input energy produces 100 J of useful energy?

Answers

Answer:

400 J

Step-by-step explanation:

Answer:

400 J

Step-by-step explanation:

The shortest side of a right triangle measures 16 m. The lengths of the other two sides are consecutive . Find the lengths of the other two sides.

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Answer:

this is hard

Step-by-step explanation:

8. Karen had a balance of $57 in her
checking account. She wrote a
check for $90. What is her new
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Answer:

-$33

Step-by-step explanation:

KAREN now ows money to the bank

At TGI Fridankay's you order a drink for $2.99, an appetizer for $9.99, the cajun chicken pasta for $11.50, and a desert for $7.99. You had amemeazing service and know that you are going to tip your waiter 20%! The waiter also gave you a 10% coupon to use. There is also a 7% sales tax on the bill. What is your total bill after the tip, discount, and tax?

Answers

Answer:

$24.48

Step-by-step explanation:

2.99+9.99+11.50+7.99/20/10/7 = $24.48

can someone help me do this ​

Answers

Answer:

[tex]23^{\tfrac 12} = \sqrt{23}~~~~;\left[a^{\tfrac 12} = \sqrt a \right][/tex]

Step-by-step explanation:

How can you tell from the equations, without graphing, how many solutions the system has?

Answers

Answer:

A system of two equations can be classified as follows: If the slopes are the same but the y-intercepts are different, the system has no solution. If the slopes are different, the system has one solution. If the slopes are the same and the y-intercepts are the same, the system has infinitely many solutions.

If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.

Step-by-step explanation:

Hope this helps !!

-2x + 3y=-22
-6x + 3y = -18
What do you have to multiply the first equation by
to have the x's be opposite and the same?

Answers

Answer:

To be able to find what a variable equals, it has to be the only variable in the equation. Having an equation where a variable is opposite of another equation allows you to find the value of the other variable.

Step-by-step explanation:

Please y'all I need help

Answers

Answer:

c

Step-by-step explanation:

I think I c cause one of the coordinates is in -4 and the other one is bw 10 and 8 :)

what is the example of 897 * 39+(34*964)

Answers

Answer:

a_n=a_1+(n-1)d

Step-by-step explanation:

sorry for late anwser

What is the range of this graph?

Answers

Answer:

I think the answer is (-3,1)

(-3,1] is the correct one

5 1/28=1/2p+5 4/7
Please help!!

Answers

Answer:

p = (-15)/14

Step-by-step explanation:

Solve for p:

5 + 1/28 = p/2 + 4/7 + 5

Put 5 + 1/28 over the common denominator 28. 5 + 1/28 = (28×5)/28 + 1/28:

((28×5)/28 + 1/28) = p/2 + 4/7 + 5

28×5 = 140:

140/28 + 1/28 = p/2 + 4/7 + 5

140/28 + 1/28 = (140 + 1)/28:

((140 + 1)/28) = p/2 + 4/7 + 5

140 + 1 = 141:

141/28 = p/2 + 4/7 + 5

Put each term in p/2 + 4/7 + 5 over the common denominator 14: p/2 + 4/7 + 5 = (7 p)/14 + 8/14 + 70/14:

141/28 = ((7 p)/14 + 8/14 + 70/14)

(7 p)/14 + 8/14 + 70/14 = (7 p + 8 + 70)/14:

141/28 = ((7 p + 8 + 70)/14)

Grouping like terms, 7 p + 8 + 70 = 7 p + (70 + 8):

141/28 = (7 p + (70 + 8))/14

70 + 8 = 78:

141/28 = (7 p + 78)/14

141/28 = (7 p + 78)/14 is equivalent to (7 p + 78)/14 = 141/28:

(7 p + 78)/14 = 141/28

Multiply both sides of (7 p + 78)/14 = 141/28 by 14:

(14 (7 p + 78))/14 = (14×141)/28

(14 (7 p + 78))/14 = 14/14×(7 p + 78) = 7 p + 78:

(7 p + 78) = (14×141)/28

14/28 = 14/(14×2) = 1/2:

7 p + 78 = 141/2

Subtract 78 from both sides:

7 p + (78 - 78) = 141/2 - 78

78 - 78 = 0:

7 p = 141/2 - 78

Put 141/2 - 78 over the common denominator 2. 141/2 - 78 = 141/2 + (2 (-78))/2:

7 p = (141/2 - (78×2)/2)

2 (-78) = -156:

7 p = 141/2 + (-156)/2

141/2 - 156/2 = (141 - 156)/2:

7 p = ((141 - 156)/2)

141 - 156 = -15:

7 p = (-15)/2

Divide both sides by 7:

p = ((-15)/7)/2

2×7 = 14:

Answer: p = (-15)/14

At Florida A&M University, the ratio of students from Florida to students not from Florida is about 3:1. How many of its 12000 students are from

Answers

Based on the information given, the number of students from Florida will be 9000 students.

Total number of students = 12000

Fraction from Florida = 3/4

Fraction of students not from Florida = 1/4

Therefore, the students from Florida will be:

= 3/4 × 12000

= 9000

The number of students from Florida is 9000.

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What is the value of x?



74
138
69
148

Answers

Answer:

69

Step-by-step explanation:

All angles add up to 180 in a triangle.

Hope that helps

Assuming the triangle is isoceles as:
- The triangle has two sides that are the same

Angles in a triangle add up to 180.

The two angles at the base of an isoceles triangle are equal, therefore:

180 - 42 = 138 (Sum of the angles at the base)

138 / 2 = 69 (One of the equal angles)

So x = 69.

Is 24:6 equivalent to 12:3

Answers

Answer:

Yes

Step-by-step explanation:

Yes! If you multiply both of the values in the ratio 12:3 by 2, you get the ratio 24:6. A ratio is equivalent to another if one can be multiplied by or divided by the same number to result in the other ratio.

For example, 1:2 and 3:6 are equivalent ratios since 1:2 can be multiplied by 3 to result in 3:6.

Hopefully that's helpful! :)

What is the reciprocal of A if A doesn't equal 0?

Answers

Answer:

1/a

Step-by-step explanation:

A number w is greater than-3 ​

Answers

Answer:

w>-3

Step-by-step explanation:

Sebastian compares toy car prices at three different store so he can get the best deal for his little brother's Christmas gift.

a. Toys R Us – 5 cars for $6.25

b. Walmart – 10 cars for $12.64

C. Target-2 cars for $2.76

Which store has the best unit rate?

Answers

a) Toys R Us - 6.25 / 5 = 1.25
b) Walmart - 12.64 / 10 = 1.264
c) Target - 2.76 / 2 = 1.38
So Toys R Us has the best unit rate (cheapest)

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

Answers

Answer:

Sir your answer is 15

Step-by-step explanation:

Hope this helps luis

frrrrrrrrreee points​

Answers

Thanks! :)

Hope you’re having a wonderful day!!
Thank youuuuuuuuuuuuuuu

what is the percent increase in 300 and 375

Answers

Answer:

25

Step-by-step explanation:

Answer:

300/375=0,8

it decrease

what is the exact circumference of the circle? A. 10 FT B. 20 FT C. 40 FT D. 60 FT

Answers

Answer:

D. 60 Ft

Step-by-step explanation:

circumference = πd

π 20

60ft

Answer:

Hopefully others can use mine and get it correct!

Step-by-step explanation:

I just took this and got it wrong by listening to the other and went with 60 FT nope its 20FT

NO LINK HELP ASAP

what is the slope of the line that contains the points in the table? A. -10 B. 2 C. -5 D. 5

Answers

Answer:

C -5

Step-by-step explanation:

y2 - y1 / x2 - x1   Pick any 2 points

6 - 1 / -1 - 0

5 / -1

-5

plese help 40 pts and brainliest if correct

Answers

Try B, but note I’m not sure if right.

Determine the intercepts of the line. Do not round your answers. ​

Answers

Answer:

-14/9, -14

Step-by-step explanation:

y = -9x - 14

For x intercept, replace y with 0 and solve.

0 = -9x - 14

14 = -9x

-14/9 = x

- 1 5/9 = x

For y intercept, replace x with 0 and solve.

y = -9(0) - 14

y = -14

Will give brainliest i rlly need help

Answers

Answer:

1/6

Step-by-step explanation:

-3/4 - (-1/2) = - 1/4

-2/3 - 5/6 = - 3/2

-1/4 ÷ -3/2

a. How do you identify the boundary line?

Answers

Answer:

Find your property line by visiting your local county recorder or assessor's office. You can access public maps of your street and locate your boundaries. Many counties also let you access property lines online. If your property is on platted land, you may be able to access the plat maps online.

Step-by-step explanation:

Type: five-tenths=

Pls answer correctly fact practice math .

Answers

Answer: 5-tenths= 5/10

Step-by-step explanation:

if I had 35 books but I wanted 48 and I did have any books to make 48 what do I do?

Answers

Answer:

Step-by-step explanation:

go to the store

Add 13 or something like that

_____5.Six times a number less four is equal to eight.​

Answers

Answer:

1. 4x = 15

2. 4(n - 3) = 24

3. 2n + 5 = 13

4. (3/4)n = 9

5. 6x - 4 = 8

Step-by-step explanation:

this should be correct. hope this helps!

WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!

ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!

[please put in correct order]

Answers

Answer:

(4,-4.5)

Step-by-step explanation:

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