Samantha purchased a new car in 2010 for $16,200. The value of the car has been depreciating exponentially at a constant rate. If the value of the car was $9,300 in the year 2012, then what would be the predicted value of the car in the year 2020, to the nearest dollar?

Answers

Answer 1

9514 1404 393

Answer:

  $1,010

Step-by-step explanation:

We can write the exponential decay function in the form ...

  y = a(b^(t/T))

where 'a' is the initial value, and 'b' is the "growth" factor in time period T.

Here, the initial value is 16200, for t=0 corresponding to the year 2010.

The "growth" in value is by the factor 9300/16200 in the 2-year period between 2010 and 2012. This means we can write the exponential function as ...

  y = 16200((93/162)^(t/2))

In the year 2020, the value of t is 2020 -2010 = 10, so the car value will be ...

  y = 16200(93/162)^(10/2) = 16200(93/162)^5 ≈ 1010

The predicted value in 2020 is $1,010.

_____

If you like, you can "simplify" the base of the exponential factor to ...

  (93/162)^(1/2) ≈ 0.75768

Then the value function becomes ...

  y = 16,200(0.75768^t)


Related Questions

Sara drove 96 miles on 3.2 gallons of gas. How many miles can Sara drive on 12.5 gallons of gas

Answers

Answer:

375 miles

Step-by-step explanation:

Create a proportion where x is the number of miles she can drive on 12.5 gallons of gas:

[tex]\frac{96}{3.2}[/tex] = [tex]\frac{x}{12.5}[/tex]

Cross multiply and solve for x:

3.2x = 1200

x = 375

So, with 12.5 gallons of gas, Sara can drive 375 miles

375 miles 96 on 3.2 gallons of gas dived

The point (8, 7) is reflected over the x-axis. What quadrant is the new point located in? A. Quadrant I
B.Quadrant II
C.Quadrant III
D.Quadrant IV

Answers

Answer:

.quadrant 4 is the new point locatef

It would be D, quadrant IV.

Math question:
A rectangular pyramid has a height of 11cm and a base that is 12 cm by 8 cm. Find the volume.

Answers

Answer: 352

Step-by-step explanation:

24-67-88+77-77+78-55+888


Answers

Answer:

780

Step-by-step explanation:

24 - 67 = - 43

- 43 - 88 = - 131

- 131 + 77 - 77 = - 131

- 131 + 78 = - 53

- 53 - 55 = - 108

- 108 + 888 = 780

The table below shows the possible outcomes of rolling a six-sided number cube and flipping a coin.

what is the probability of getting a number less than 3 and tails

A. 1/12
B. 1/6
C.1/4
D. 1/3​

Answers

What’s the answer plsssssssssssssss

Answer:

c is the correct answer but i am not sure

find the volume of each figure. no links pls.

Answers

Answer:

For number one do 13+13 and then 21+21 and 8+8 so you would get 16 for 8+8 and 21+21 is 41 so 41+16 is 57 and then 13+13 is 26 so 57+26 and then your answer is going the be the volume

Simplify (5m - 4)2 using the square of a binomial formula.

A) 5m2 - 20m - 4
B) 25m2 – 40m + 16
C) 25m2 + 40m + 16
D) 5m2 – 40m + 4

Answers

Answer:

[tex]25m^{2} -40m+16[/tex]

Step-by-step explanation:

Rewrite (5m−4)^2 as (5m−4)(5m−4).

Expand (5m−4)(5m−4) using the FOIL Method.

[tex]25m^{2} -40m+16[/tex]

Solve the system of equations.
9x+11y=2
3x+4y=4

Answers

Answer:

X= -12 Y=10

Step-by-step explanation:

The solution is, Solve of the system of equations.

9x+11y=2 & 3x+4y=4 is, x = -12 & y =10.

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

given that, the system of equations.

9x+11y=2 .......(1)

3x+4y=4 ...........(2)

now, for solving, multiply (2) by 3 & subtract from (1),

we get,

9x + 11y =  2

9x + 12y = 12

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

y= 10

from (1), we get, x = -12

Hence, The solution is, Solve of the system of equations.

9x+11y=2 & 3x+4y=4 is, x = -12 & y =10.

To learn more on equation click:

brainly.com/question/24169758

#SPJ2

What is the solution 5x-15=-25

Answers

Answer:

x= -2

Step-by-step explanation:

MARK AS BRAINLIEST!!

Answer: -2

Step-by-step explanation: -2 times 5 is -10. -10-15=-25

Find the solution to the system of equations y=1/2x +1, y= -x-2

Answers

(-2,0)
-x-2=1/2x-2
-1.5x-2=1
-1.5x=3
X=-2
(-2,0)

Answer:

answer is (1,0)

Step-by-step explanation:

Which of the following is equivalent to 24/80

Answers

Answer:

0.3

Step-by-step explanation:

Just divide : 24/80 = 0.3

Two bottles of honey are compared,one costs R89,99 for 530g and the other. R59,99 for 375g.Which one is cheaper

Answers

The second one is cheaper because it is worthy more

2+3
For what value of a does
9
(3)"
?
-
73
3
1

Answers

Answer:

3

Step-by-step explanation:

3 × 3 = 9

( 3 + 3 + 3 = 9 )

______________________________________

speeeeeeeeeeeddddddddddddddddd (might give brainlest

Answers

Answer:

6

Step-by-step explanation:

6 times 6 is 36 and the formula for area is

lxw(Length times width)

Fill in table using this function rules
y=-3X-5?

X Y
-6
-3
0
3


Answers

reeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee Step-by-step explanation: yyyyyyyyyyyyyyyyyyyyyyyyyeeeeeeeeeeeeeeeeeeeeeet

Need help!!!!!!!!!!!! Struggling

Answers

A = 28.26 sq yds

Step-by-step explanation:

diameter (D) = 6 yds

radius (r) = D/2 = 3 yds

A = πr^2

= (3.14)(3 yds)^2

= 28.26 sq. yds

Please help me I would appreciate it a lot

Answers

Answer:

Juan can consume 2.22 calories per day

Step-by-step explanation:

[tex]68.820 \div 31 \: day \: month \: \\ \\ = 2.22[/tex]

Find the area of the following
triangle:
Heln Porum
5 cm
10 cm
A= [?] cm?
Enter the exact answer as a decimal.
Enter

Answers

Answer:

11.180339887498cm or 11.2cm

Step-by-step explanation:

Using pythagoras- a² + b² = c²

Therefore 5² + 10² = 125²

Root of 125 will be the answer

Answer:

The given triangle is right angled triangle, which means that

Area - [tex]\frac{1}{2}×base×height[/tex]

[tex]\frac{1}{2}×5×10[/tex]

5×5Area= 25cm²

Which equation has a graph that lies entirely above the x-axis?

Answers

This awnser is 309 and has 11.22 as the fraction

Answer: c

Step-by-step explanation:

y=(x-7)^2+7

Are the events independent??

Best answer gets brainliest!!!

Answers

Answer:

C

Step-by-step explanation:

two events are independent if you can mulitply them to find their intersection

.5*.36= .18 which is obviously not .2

therefore they're not independent because they're not eqaul

There were 3 chihuahuas at the dog park last Saturday, along with 9 other dogs. Considering this data, how many of the next 20 dogs to arrive at the park next Saturday should you expect to be chihuahuas?

Answers

Answer:

5

Step-by-step explanation:

Since there are 3 chihuahuas out of 12 dogs IN TOTAL (which includes the 9 other dogs), the ratio is 1:4, or 1/4.

Assuming this ratio is consistent, (1/4)*20 is 5.

In conclusion, you can expect there to be 5 chihuahuas out of the next 20 dogs to arrive at the park.

Hope it helped, and have a beautiful day/night! <3

Please answer number 7 I’ll give brainliest thanks!

Answers

You’ve got the answer correct! Add em all up then divide by four, because that is the number of data recorded, and you get 12. 1/12 is the answer!

Please mark brainliest so that I may level up :)

WILL


GIVE

BRAINLIST ANSWER


.
.

.
.
.

Answers

Answer:

No mode

Step-by-step explanation:

The mode is the element that occurs most in the data set. In this case, all elements occur only once, so there is no mode.

no mode

it's because no number occurs the most often from the list . just look there is none

if you want to learn others like this try mean and median for future situation it's easy I promise

help me! the answer is not unit

Answers

b. the correct t answe js B

la
You spend some time in the kitchen making sure the recipe is just right for
the cooking show. You spend 2 3/4 hours baking and half of an hour
cleaning up the kitchen. How much time were you in the kitchen?

Answers

3 and 1/4 is the answer!!

What is the volume, in cubic inches, of a rectangular prism with a height of 19 inches,
a width of 8 inches, and a length of 17 inches?

Answers

Answer:

2584

Step-by-step explanation:

height of 19 inches,

a width of 8 inches, and a length of 17 inches

17 times 19 times 8

Plsss helppp I’ll mark you brainliest!!!!!!!!

Answers

Answer:

I think the answer is 26.5

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
ETIH
12
5
15
a.
12
4
5
15
5
b.
4
5
4
15
12
15
C.
4
5
1
12
10
3
d.
15
5
5
m
4
--
12
4

Answers

Answer: the answer is C

Step-by-step explanation: because

can someone help me find x

Answers

Answer:

x = 5

Step-by-step explanation:

Since this shape is a quadrilateral, the sum of the interior angles is 360.

Equation:

81 + 20x - 16 + 15x + 30 + 16x + 10 = 360

51x + 105 = 360

51x = 360 - 105

51x = 255

x = 5

find the value of using property of 3295×999+3295 Solution​

Answers

Answer:

3295000

Step-by-step explanation:

3295×999+3295

3295 * 999 = 3291705

3295×999+3295

3295 * 999 + 3295

3291705 + 3295 = 3295000

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