For each one-year period after a car was purchased, its value at the end of the year was 17% less than its value at the beginning of the year. State whether the value of the car as a function of time after it was purchased is best modeled with a linear function, a quadratic function, or an exponential function and explain why. Enter your answer and your explanation in the space provided. If the value of the car 2 years after it was purchased is $17,842.51, what was the value of the car when it was purchased?

Answers

Answer 1

Answer:

The value of the car as a function of time after it was purchased is best modeled with an exponential function.

The Value of car when it is purchased =  $25,900

Step-by-step explanation:

As given,

The value at the end of the year was 17% less than its value at the beginning of the year.

⇒ value at the end of the year = (100% - 17% ) = 83% of value at the beginning of the year.

Now,

Let the Value of car when it is purchased = x

So,

Price at the end of 1 year = 83% of x = 0.83x

Price at the end of 2 year = 83% of 0.83 x = (0.83)² x

Price at the end of 2 year = 83% of (0.83)² x = (0.83)³ x

and so on

Price at the end of n years = (0.83)ⁿ x

∴ we get

The value of the car as a function of time after it was purchased is best modeled with an exponential function.

Now,

Value of car after 2 year = (0.83)² x = $17,842.51

⇒0.6889x = $17,842.51

⇒x = [tex]\frac{17,842.51}{0.6889}[/tex] = $25,900

∴ we get

The Value of car when it is purchased = x = $25,900


Related Questions

hey can someone please confirm my answer? i got D but it was a guess because i’m not confident in my graphing skills yet

Answers

Correct answer would be c, since the question is only asking for the solution and not the x valued (plotted left and right) it would be where both segments meet

Answer:

the answer is d

Step-by-step explanation:

The time,
T
(seconds), it takes for a pot of water to boil is proportional to the amount,
A
(litres), of water.
It takes 180 seconds to boil 2.8 litres of water.
Work out how long it takes (to the nearest second) to boil 2.2 litres.

Answers

Answer:

The time it takes to boil 2.2 litres of water is approximately 141 seconds

Step-by-step explanation:

The given parameters are;

The relationship of the variables, T and A is a proportional, therefore, we have;

T ∝ A, or T/A = k = Constant of proportionality

The time it takes to boil 2.8 liters of water = 180 seconds

∴ When A = 2.8 litres, T = 180 seconds, from which we have;

k = T/A = 180 s/(2.8 L) = 450/7 s/L

k = 450/7 s/L

When A = 2.2 litres, we have;

T/A = k

∴ T = k × A

Plugging in the value for both 'k', and 'A' when A = 2.2 litres, gives;

T = k × A = 450/7 s/L × 2.2 L = 990/7 s = 141.[tex]\overline{428571}[/tex] s

The time it takes to boil 2.2 litres of water, given a direct proportionality relation is, T = 141.[tex]\overline{428571}[/tex] seconds ≈ 141 seconds given to the nearest second.

A family is going on a trip for 3 days. The total cost for the hotel is​ $369. One hundred dollars a day was budgeted for entertainment. How much will each day of the trip​ cost?

Answers

Answer:

223

Step-by-step explanation:

368 divided by 3= 123

123+100= 223

please help!
Megan has a bag with 8 red cubes, 3 yellow cubes, and 5 green cubes. What is the probability she will pick a red cube, keep it, and then pick another red cube?

Answers

Answer:

1st time: 50% chance or 8/16 chance

2nd time: 46% chance or 7/15

I can try again if its wrong

Answer:

7/30

Step-by-step explanation:

8/16 that she picks a red cube.

7/15 that she picks another red cube after keeping the first red cube.

multiply 8/16 (1/2) times 7/15 to get 7/30 as your final answer

Is the point \displaystyle (1,2)(1,2) a solution to the system of equations \displaystyle y-10x=-8y−10x=−8 and \displaystyle y=-8x+10y=−8x+10?

YES
NO

Answers

No because it’s just no
No that point is not

HELP
ILL GIVE THE BEST ANSER 100 POINTS!!!!

Answers

awnser im believe it is 24 i think

Answer:

20 units square

Step-by-step explanation:

do the Pythagoras theorem

a²=b²+c² ⇒ a=√b²+c²

if b is 4 and c is 2 an a is the unknown

so a=√(4)²+(2)²

a=√20

then get the rule of the area of the square

Area of the square= s²

s=a=√20 (a is the hypotenuse of the triangle and also a side in the square)

so s²=20

Area of the square=20 units square

PLEASE HELP!! ASAP WILL GIVE BRAIN!! AFTER SOLVING QUESTION, GIVE THE REASON(SSS
SAS
ASA
AAS)

Answers

last option:-

∆HOG is congruent to ∆ATC

Reason:- ASA

Hope it helps ⭐⭐⭐

5 m
m
7 깄
0
M
K
5
Solve for the perimeter.
3 m
P=

Answers

Answer:

It might be C if im wrong sorry

Step-by-step explanation:

I NEED THE NOE HURRY!!!!!!! i will mark u Brainliest

At most, Kyle can spend $50 on sandwiches and chips for a picnic. He already bought chips for $6 and will buy sandwiches that cost $4 each. Write and solve an inequality to show how many sandwiches he can buy. Use s to represent the number of sandwiches. Write your final answer in a complete sentence.

Answers

The answer is 11. The problem is worked out in the picture.

What is the scale factor of Figure B to Figure A in the simplest form?

Answers

simple just multiply 10X25X21.5 for A and the same for B

WILL GIVE BRAINIEST!!! IF UR ANSWER IS RIGHT

Answers

Answer:

-1

Step-by-step explanation:

the slope of this one is y=x-21

in order for it to be perpendicular the sign changes and the slope flips

but because the slope is 1 you just change the slope to -1

Find the 12th term given the arithmetic sequence: an = -5n +32

Answers

Step-by-step explanation:

step 1. a12 = -5(12) + 32

step 2. a12 = -60 + 32

step 3. a12 = -28.

Help with this and I will give you the brainiest and you get 10 points

Answers

Answer:

1.-22

2.2

3.48

4.3b

5.1+5v

6.2m+20

7.p=-9

8.x=8

Choose the expression that represents a quadratic expression.
O 6x4 - 5x3 + 3x2 -7x - 8
) 5x3 + 3x2 -7x - 8
O 2x2 + 3x - 1
. 3x - 1

Answers

Answer:

3) 2[tex]x^{2}[/tex] + 3x - 1

Step-by-step explanation:

A quadratic expression is an expression involving a squared term

It can be written as y = a[tex]x^{2}[/tex] + bx + c, where a ≠ 0

// note that here b and c can be equal to 0

1) 6[tex]x^{4}[/tex] - 5[tex]x^{3}[/tex]  + 3[tex]x^{2}[/tex]  - 7x - 8 is simply incorrect because you can't write in the previously mentioned form. It is a quartic function, since the unknown variable x in forth degree. It can be written as y = a[tex]x^{4}[/tex] +b[tex]x^{3}[/tex] +c[tex]x^{2}[/tex] + dx + e, where a before [tex]x^{4}[/tex] ≠ 0

2) 5[tex]x^{3}[/tex]  + 3[tex]x^{2}[/tex]  - 7x - 8 is simply incorrect because you can't write in the previously mentioned form. It is a cubic function, since the unknown variable x in third degree.

3) 2[tex]x^{2}[/tex] + 3x - 1 is correct

4) 3x - 1 is incorrect because there is no squared term. You could also say that here a = 0 and write it as y = 0 * [tex]x^{2}[/tex]  + 3x - 1. It is also called a linear function because if you'd draw a graph, it would be a line

Answer:

2x2 + 3x - 1

Step-by-step explanation:

what is 5 3/4 subtracted by 5/8

Answers

Answer:

[tex]5\frac{1}{8}[/tex]

Step-by-step explanation:

5 3/4 = 23/4

(23/4)2 = 46/8

46/8 - 5/8 = 41/8 = 5 1/8

Three numbers are in the ratio 3:9:10. If 10 is added to the last number, then the three numbers form an arithmetic progression. What are the three numbers?​

Answers

Answer: 6,18,60

Step-by-step explanation:

Don't really know tbh

Answer:

6, 18, 20

Step-by-step explanation:

your welcome

Solve the following equation: 4(x + 2) - 17 = 35
A: -11
B: 25/2
C: 15
D: 11

Answers

Answer:

D: 11

Step-by-step explanation:

4(x + 2) - 17 = 35

4x+8 - 17=35

4x-9=35

4x=35+9=44

x=44/4=11

the answer is D, the working out is in the photo

Select two ratios that are equivalent to 8:20

Answers

Answer:

The answer is B, C, and D

Step-by-step explanation:

If you simplify each of those ratios, they'll be equivalent

Answer:

B and C

Step-by-step explanation

The first one is B because 2/8 is 4 and 10/20 is 10

The second one is C because 8x3 is 24 and 20x3 is 60

My teacher always says everything you do to one side you have to do to the other :)

Hope this helps! :D

if 3 boys build a snow manin 24 minutes how many can 9 finish building in 1 hour

Answers

Answer:

what does "manin" mean I can help i just need to know what that word means

i get ur question now! :)

so in 72 minutes 9 kids can make 8 snowman's

Hope this helps u and A LOT! :)

Step-by-step explanation:

Answer:

The answer is 6.

I need help with math if you don't know the answer get out of the question and don't answer it and give the wrong answer or some link or even say "I don't know" or anything like that it's not fair to me cause it a waste of my points I will report your if you do that :) have a nice day and stay safe

Answers

Answer:

13 1/3 pounds

Step-by-step explanation:

Hi! Each bad weighs 2 2/3 pounds. There were 5 bags bought so we multiply. Here is the expression:

2 2/3 x 5 = x

Now we need to convert 2 2/3 into an improper fraction, which is 8/3.

Easy! Now

8          5         40

-      x    -     =    -

3           1          3

*I tried to set it up like fractions.*

Simplify 40/3 and you get 13 1/3

Billy has 8 red marbles, 6 blue marbles, and 4 green marbles in a jar.
What is the probability that Billy would select a red marble?
A. Between 10% and 20%
B. Between 20% and 30%
c. Between 30% and 40%
D. Between 40% and 50%

Answers

Answer:

A

Step-by-step explanation:

pick A cause 8 6 and 4 = 18

D

the total marbles are 18 so you divided 18 and 100 to get 5.55, then you multiply by the number of marbles and get 44.4

hope this helps

Please, help me out <3

Answers

Answer:

D

Step-by-step explanation:

Every input can only have one output for it to be considered a function. There are repeats of x values with different y values in all of these except for D so D is the correct answer.

A student scores the following marks in 10 tests
3,7,x,7,12,9,10,4,2,5
If the mean mark is 6, calculate the value of x.

Answers

x=1
Explanation=

10*6 = 60

3+7+7+12+9+10+4+2+5= 59

60-59=1

A tank that holds up 10 gallons. when its active, a drain empties water from the tank at a constant rate, when Jada first see the tank, it contains 7 gallons of water. three minute later the tank contains five gallons of water.

At what constant/rate is the amount of water changing in the tank?

Answers

Answer:

-2/3 gallon/minute

Step-by-step explanation:

In three minutes the water volume has decreased by 2 gallons (7 less 5 is 2).  The unit rate of decrease of the amount of water in the tank is thus:

- 2 gallons

------------------- = -2/3 gallon/minute

 3 minutes

Will the product be more or less than 2 7/8 ?

Answers

Answer:

Im pretty sure the the product will be less than 2 7/8.

I think the answer will be 23/72

Help pls and thank you:)

Answers

I think Z=16 I don’t know exactly sorry

THE QUESTION IS ABOVE​

Answers

Answer:

The box would be 14

Step-by-step explanation:

It would be 14 because 7/14 is equal to 1/2. And 2/4 is also equal to 1/2.

Answer:

7/14

Step-by-step explanation:

Have a nice day.....

Emily puts $10,000.00 into an account which earns 11% interest, compounded quarterly. How
much will she have in the account after 5 years? Round your answer to the nearest cent.

pls hurry it’s for a math test

Answers

s 5on2mllos pnor que creo que esesa cantdadi

ei

HELP I NEED HELP ASAP

A triangle has a perimeter of 15 feet. Side B is one foot longer than side A. Side C is two feet longer than side A. What is the length of each side.

Answers

Answer:

Side A = 4

Side B = 5

Side C = 6

Step-by-step explanation:

In the following equation, variable a is the length of Side A

a + (a + 1) + (a + 2) = 15

a + a + a + 1 + 2 = 15

3a + 3 = 15

     - 3    - 3

3a (÷ 3) = 12 (÷ 3)

a = 4

Side A = 4

Side B = (a + 1) = (4 + 1) = 5

Side C = (a + 2) = (4 + 2) = 6

Can somebody help??....

Answers

The missing numbers are 27 and 6.. the rule of the sequence is minus 6
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