Sofia purchased a new car in 2007 for$34,000. The value of the car has been depreciating exponentially at a constant rate. If the value of the car was $16,200 in the year 2014, then what would be the predicted value of the car in the year 2021, to the nearest dollar?

Answers

Answer 1

Answer:

$7,718

Step-by-step explanation:

Given that :

Cost of car in 2007 = $34000

Cost of car in 2014 = $16200

Predicted value of car in 2021

Lets obtain the percentage Depreciation (d) :

Worth (A) of car in 2014 = $16200

Time (t) = 2014 - 2007 = 7 years

Initial cost (I) = price in 2007

A = I(1 - d/100)^7

16200 = 34000( 1 - d/100)^7

16200 = 34000(1 - 0.01d)^7

(16200/34000)^1/7= 1 - 0.01d

0.8995 = 1 - 0.01d

0.01d = 1 - 0.8995

d = 0.1005 /0.01

d = 10.05

Value of car in year 2021:

t = 2021 - 2007 = 14 years

A = I(1 - 10.05/100)^14

A = 34000(1 - 0.1005)^14

A = 34000(0.8995)^14

A = 34000 * 0.2269950

A =7717.83100

Approximate worth = $7718

Answer 2

Answer: 7719

Step-by-step explanation:


Related Questions

Which pair of angles are alternate exterior angles?

Answers

Answer:

B) ∠2 and ∠11

Answer:

b

Step-by-step explanation:

3 times 5286 what is the products

Answers

Answer:

15858 is the answer

Step-by-step explanation:

No explanation just do multiplication

whats the equation for a line thats perpendicular to 6x-2y=8 when it passes through (6,-5)

( i hope i wrote that right sorry)

Answers

Answer:

Equation of required line is: [tex]\mathbf{x+3y=-9 }[/tex]

Step-by-step explanation:

We need to find equation for a line that's perpendicular to [tex]6x-2y=8[/tex] when it passes through (6,-5)

We will use the slope-intercept form: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

Finding Slope m:

When two lines are perpendicular there slopes are [tex]m=-\frac{1}{m}[/tex]

Finding slope of given equation first: [tex]6x-2y=8[/tex]

Writing in slope-intercept form:

[tex]6x-2y=8\\-2y=-6x+8\\y=\frac{-6x}{-2}+\frac{8}{-2}\\y=3x-4[/tex]

Comparing it with slope intercept form: [tex]y=mx+b[/tex] , m= 3

So, slope of given equation is 3

Now, the slope of required equation will be [tex]m=-\frac{1}{m}[/tex]

So, Slope m=-1/3

Finding y-intercept

Using slope m=-1/3 and point (6,-5) we can find y-intercept

[tex]y=mx+b\\-5=\frac{-1}{3}(6)+b\\-5=-2+b\\b=-5+2\\b=-3[/tex]

So, y-intercept is b=-3

Now, finding the equation of required line having Slope m=-1/3 and y-intercept b= -3

[tex]y=mx+b\\y=-\frac{1}{3}x-3[/tex]

Writing in standard form:

[tex]y=-\frac{1}{3}x-3\\y=\frac{-x-9}{3}\\3y=-x-9\\x+3y=-9[/tex]

So, equation of required line is: [tex]\mathbf{x+3y=-9 }[/tex]

what is two times 2+5 times 4​

Answers

Answer:

56 hope this helps!

Step-by-step explanation:

Answer:

I think your answer is 24.  It's vague how you are saying it.

(Listen to the person above my answer it's probably right.)

if it takes 5 mintutes to fill 7 cups of soda at the fountain , how many minutes would it take to fill 1.75 cups of soda ? pls help explanation.

Answers

Answer:

1.25 minutes

Step-by-step explanation:

5/7=x/1.75

8.75=7x

x=1.25 minutes

convert to unlike fractions

Answers

I don’t think the picture uploaded. We can’t see it.

Solve z = -10x, for x.

Answers

Answer:

B

Step-by-step explanation:

z = -10x

z + 10 = -10x + 10 = x

Answer: D

If z = -10x, we can divide both sides of the equation by -10 to get z/(-10) = x. This is the same as [tex]x=-\frac{z}{10}[/tex].

HELLLP ASAP

1. James mows 5 lawns in 8 hours. At this rate, how many lawns can he mow in 40 hours?


A. 20

B. 1.3

C. 25

D. 200

2. James catches 8 passes in 3 football games. At this rate, how many passes does he catch in 15
games?


A. 40

B. 8

C. 24

D. 5

Answers

the answer to 1 is c!!!!!!!

What is the value of x ?

Answers

Answer:

61°

Step-by-step explanation:

For parellel lines cut by a transversal corresponding angles are equal.

Tyler gather data and notices that the number of crimes in Glendale and the number of students enrolled in schools have a strong positive correlation tell a proposes closing down schools as a solution to reduce or illuminate crime in Glendale what do you recommend to the Glendale city Council

Answers

Answer:

The fact that the number of crimes and the population of students is positively correlated, means that as the total number of students increases, so does the total number of crimes.

The conclusion that closing schools will decrease crime is absurd. First of all, the variables might be totally unrelated, e.g. places with large number of students are places that have high populations. Higher crime rate are generally linked to neighborhoods or cities with high populations.

The idea of closing schools to fight crime is foolish because it will result in the opposite. Generally, students who go to school tend to be less engaged in criminal activities. The real problem here is that you should try to increase the number of students that attend schools in Glendale, not vice versa.

Point A is the incenter of triangle DEF. What is the length of NA?
A. 2 units
B. 9 units
C. 11 units
D. 14 units

Answers

Answer: B

Step-by-step explanation: Got a 100 on the test

Explain why the sum of the angle measures in any triangle is 180

Answers

Answer:

Step-by-step explanation:

Because every triangle that can ever be made has three sides, you can open up the triangle so that it becomes a straight horizontal line. A horizontal line is also 180 degrees which is why this idea works with triangles.

The reason for the sum of the angles in any triangle is 180 is that when we open up the sides of a triangle we get a straight line where the angle of a straight line is 180 degrees.

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles has are equal to 180 degrees.

We have,

The sum of the angle measures in any triangle is 180.

We see that,

In a triangle, there are three sides and three angles.

If we open up the triangle, we see that the three sides of the triangle form a straight line.

The angle of a straight line is 180 degrees.

Thus,

The reason for the sum of the angles in any triangle is 180 is that when we open up the sides of a triangle we get a straight line where the angle of a straight line is 180 degrees.

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!

Answers

Answer:

83 and 98

Step-by-step explanation:

will has a chain that is 3/4 of a yard long. He wants to divide it into lengths of 1/3 yards. How many sections of this length chain will he have?

Answers

Answer:

3

Step-by-step explanation:

1/3 + 1/3 + 1/3 = 1

Hope this helps

PLZZ MARK BRAINLIEST

Answer:

He will have 2 section of (1/3) length

Step-by-step explanation:

Number of sections = Length of  the chain ÷ length of one section

                                 = (3/4) ÷ (1/3)

                                 [tex]= \frac{3}{4}* \frac{3}{1}\\\\= \frac{9}{4}\\\\=2 \frac{1}{4}[/tex]

He will have 2 sections and (1/4) part of the chains remains

i think of a number add 3 to it and multiply the result by 7.
write the follwing algebraci\lly using the unknown numbera as x

Answers

Answer:

x+3(7)=the answer

21=x

Step-by-step explanation:

Let x be the number you choose. Then add 3 to this number.

You have x + 3.

Now multiply 7 to this.

So you should have 7(x+3) as your algebraic expression.

Solve, then enter one of the vales of your solutions below. x^2 + 25 =169

Answers

Answer:

12

Step-by-step explanation:

-25 from both side

x^2= 144

then you square root it

x= 12

[tex]\huge\text{Hey there!}[/tex]


[tex]\mathsf{x^2 + 25 = 169}[/tex]

[tex]\text{Subtract 25 to both sides}\downarrow[/tex]

[tex]\mathsf{x^2 + 25 - 25 = 169 - 25}[/tex]

[tex]\text{Simplify it}\downarrow[/tex]

[tex]\mathsf{x^2 = 169 - 25}[/tex]

[tex]\mathsf{x^2 = 144}[/tex]

[tex]\text{Take the square root of the numbers (including the mystery number (x))}\downarrow[/tex]

[tex]\mathsf{x = \pm \sqrt{144}}[/tex]

[tex]\text{So, that means that}\downarrow[/tex]

[tex]\mathsf{x = 12}[/tex]

[tex]\text{Or even:}[/tex] [tex]\mathsf{x = -12}[/tex]


[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{ x =\ }\frak{12}}\huge\checkmark[/tex]


[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]


~[tex]\frak{Amphitrite1040:)}[/tex]

HELP. NEED ANSWERS!!

Answers

Answer:

d i thin;kStep-by-step explanation:

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what is 86+56+329+435+999+485+32+54?

Answers

2476 would be the correct answer

Answer:

2476

Step-by-step explanation:

Solving equations with rational numbers

Answers

what is your question this makes no sense

Use the graph to identify the slope and y-intercept. Can you help me identify them?.

Answers

Answer:

y intercept is (0,4) and slope is -2

Step-by-step explanation:

y intercept is (0,4) you can see where it intercepts.

The slope is rise/run so 4/-2 so -2

Find the measure of exterior angle A.​

Answers

Answer:

40* degress angled

Step-by-step explanation:

Answer:

I believe the answer is a 40 degree angle

Step-by-step explanation:

The online price for a box of hair clips is $2.60. For any number of boxes purchased, the cost of shipping is $12. The equation c=2.60b + 12 represents the total cost, c, of ordering b boxes of hair clips. If Mrs. Hilton orders 32 boxes of hair clips, what is the total cost? (6.EE.C.9)

Answers

Answer:

$43.2

Step-by-step explanation:

Step one:

given data

the total cost function is

c=2.60b + 12

Step two:

Required is c, when b= 12

substitute b=12 we have

c=2.60(12) + 12

c=31.2+ 12

c=43.2

the total cost = $43.2

Which graph has a solution set in Quadrant III?
QI
Qll
QIII
QIV

Answers

Answer:

3rd I think

Step-by-step explanation:

Answer:

QIII

Step-by-step explanation:

the solutions is where both shaded regions overlap

the top right square is quadrant I

the top left square is quadrant II

the bottom left square is quadrant III

and the bottom right square is quadrant IV

Use the figure below to complete Parts A and B.
Part A: What is the value of x?


4


12


2


31

Answers

Help me! I’ll mark you brainly!ikzkkkdidjkknujjdididiidiwisisiisudusisisusuususususjsusjsjsjjsuusususususuususususuusususuusususidkdkkdiidididisklslsdksiisusskksjajjjjsjsjjjjjjjjjkkkkjjskkssiisiusiwiisis

please please help me​

Answers

Answer:

A

Step-by-step explanation:

e.g 10×1 = 10

10 + 8 = 18

10 × 2 = 20

20 + 8 = 28

Answer:

I believe the answer is A

Step-by-step explanation:

slope for this equation is  [tex]m = \frac{y2-y1}{x2-x1}[/tex]

so picking some coordinates (1,18) and (1.5,23)

=  [tex]\frac{23-18}{1.5-1}[/tex]

= 10

slope is 10 which is closes to A

Starts from episode 50 or a 500 episode show.
24 minutes per episode
12 hours of watch time
How many episodes can you watch A DAY.
(Freebie if you get the right answer :)

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Answer:

50 episodes

Step-by-step explanation:

im just big brain

Answer:

60 i just goggles it and thats the answer

PLEASE HELP ASAP!!!

Answers

Answer:

H and c

Step-by-step explanation:

What is 3 miles per minute expressed in feet per minute? Recall that 1 mile is 5,280 feet.

Answers

Answer: 15,840 Ft.

Step-by-step explanation: Brainliest, Please and Thank you :)

What is the first step in solving the equation 4.2 y minus 5.2 = 18.5?
Add 5.2 to each side of the equation.
Subtract 5.2 from each side of the equation.
Multiply each side of the equation by 4.2.
Divide each side of the equation by 5.2.

Answers

Answer: The first step is to add 5.2 to both sides.

Answer:

add 5.2 to each side of the equation.

Step-by-step explanation:

i did it on edge2020

Evaluate 12 divided by (-3)(2) + 5. a) -13 b) 3 c) -3

Answers

Answer:

Step-by-step explanation:

12÷(-3)(2)+5= -3

-4(2)+5

-8+5

-3

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