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?

2 answers
Question:

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:$7,718Step-by-step explanation:Given that :Cost of car in 2007 = $34000Cost of car in 2014 = $16200Predicted value of car in 2021Lets obtain the percentage Depreciation (d) :Worth (A) of car in 2014 = $16200Time (t) = 2014 - 2007 = 7 yearsInitial cost (I) = price in 2007A = I(1 - d/100)^716200 = 34000( 1 - d/100)^716200 = 34000(1 - 0.01d)^7(16200/34000)^1/7= 1 - 0.01d0.8995 = 1 - 0.01d0.01d = 1 - 0.8995d = 0.1005 /0.01d = 10.05Value of car in year 2021:t = 2021 - 2007 = 14 years A = I(1 - 10.05/100)^14A = 34000(1 - 0.1005)^14A = 34000(0.8995)^14A = 34000 * 0.2269950A =7717.83100Approximate worth = $7718

Answer: 7719Step-by-step explanation:

Similar Solved Questions

1 answer

Unit rate of $7 for 8 apples

unit rate of $7 for 8 apples...
2 answers

When i was 6 my sister was half my age now that im 70 how old is she????

when i was 6 my sister was half my age now that im 70 how old is she????...
1 answer

May you please help me. Do not Skip this Question. URGENT!

May you please help me. Do not Skip this Question. URGENT!...
2 answers

Perfect square of y^2 + 4y + _

Perfect square of y^2 + 4y + _...
1 answer

What's the equation of the line that's perpendicular to y=-6x+1 that passes through the points (-4,-6)?

What's the equation of the line that's perpendicular to y=-6x+1 that passes through the points (-4,-6)?...
1 answer

What is time ,?????????????????????????

what is time ,?????????????????????????...
1 answer

Find each percent increase. Round to the nearest percent. From 5 miles to 16 miles I need the increase in percentage

Find each percent increase. Round to the nearest percent. From 5 miles to 16 miles I need the increase in percentage...
2 answers

Controlling populations of harmful invasive species is a challenge. Using any pest control method could potentially harm the ecosystem. If you had to decide whether to use the frog control method proposed by the scientists in the video, what five questions would you ask the scientists before making your decision?

Controlling populations of harmful invasive species is a challenge. Using any pest control method could potentially harm the ecosystem. If you had to decide whether to use the frog control method proposed by the scientists in the video, what five questions would you ask the scientists before making ...
2 answers

What do you mean by means of socialization?Pls help me i need correct ans.pls don't greed for points.​

What do you mean by means of socialization?Pls help me i need correct ans.pls don't greed for points.​...
2 answers

Which of the following was a botched attempt to overthrow Fidel Castro? a. Cuban Missile Crisis b. Marshall Plan c. Bay Of Pigs

Which of the following was a botched attempt to overthrow Fidel Castro? a. Cuban Missile Crisis b. Marshall Plan c. Bay Of Pigs...
1 answer

Which source is most effective in showing the effects of earthquakes? Why? Cite evidence from the texts in your response.

Which source is most effective in showing the effects of earthquakes? Why? Cite evidence from the texts in your response....
1 answer

Alice plays with bob the following game.first Alice randomly chooses 4 cards out of a 52 card deck, memorizes them, and places them back into the deck. then bob randomly chooses 8 cards out of the same deck. Alice wins if bobs cards include all cards selected by her. what is the probability of this happening?

Alice plays with bob the following game.first Alice randomly chooses 4 cards out of a 52 card deck, memorizes them, and places them back into the deck. then bob randomly chooses 8 cards out of the same deck. Alice wins if bobs cards include all cards selected by her. what is the probability of this ...
1 answer

What happens to a community when the same bad things happen over and over again?

What happens to a community when the same bad things happen over and over again?...
2 answers

Es broma no tienen que hacer eso, pero quiero regalar mis puntos :)

Es broma no tienen que hacer eso, pero quiero regalar mis puntos :)...
1 answer

Will give you BRAINLEST A 400 kg box and a 200 kg are to pushed across a horizontal table, the exact same distance with the exact force. Which box will have the most work done on it? Which box will get to the end first? Explain both of your responses.

will give you BRAINLEST A 400 kg box and a 200 kg are to pushed across a horizontal table, the exact same distance with the exact force. Which box will have the most work done on it? Which box will get to the end first? Explain both of your responses....
2 answers

Delroy wants to participate in a bone-strengthening activity. Which of these activities should he choose? Swimming Yoga Jumping rope Stretching

Delroy wants to participate in a bone-strengthening activity. Which of these activities should he choose? Swimming Yoga Jumping rope Stretching...
1 answer

Which view allows the user to see the source code and the visual representation simultaneously? to see the source code and the visual representation simultaneously? ​

Which view allows the user to see the source code and the visual representation simultaneously? to see the source code and the visual representation simultaneously? ​...
1 answer

3. What is the axis of symmetry of the graph of function f(x)=x^2 - 6x - 1

3. What is the axis of symmetry of the graph of function f(x)=x^2 - 6x - 1...
1 answer

What is the energy of light with a wavelength of 589 nm? (The speed of light in a vacuum is 3.00 x 10^8 m/s, and Planck's constant is 6.626 x 10^-34 Jos.) A. 3.37 x 10^-19 J B. 3.37 x 10^-28 J C. 2.96 % 10^18 J D. 2.96 % 10^27 J

What is the energy of light with a wavelength of 589 nm? (The speed of light in a vacuum is 3.00 x 10^8 m/s, and Planck's constant is 6.626 x 10^-34 Jos.) A. 3.37 x 10^-19 J B. 3.37 x 10^-28 J C. 2.96 % 10^18 J D. 2.96 % 10^27 J...
1 answer

What does Old Musoni predict for his son?​

What does Old Musoni predict for his son?​...

-- 0.017912--