A tractor has an initial price of $8000.00 and sells for $1100.00 after 23 years. Assume that the tractor's value depreciates linearly with the passing years. (a) Let V represent the tractor's value in dollars and let t represent the number of years since the tractor was purchased. Write a formula to express the tractor's value as a function of time: V(t) = (b) Horizontal intercept of the value function V(t): Vertical intercept of the value function V(t):

A tractor has an initial price of $8000.00 and sells for $1100.00 after 23 years. Assume that the tractor's value depreciates linearly with the passing years. (a) Let V represent the tractor's value in dollars and let t represent the number of years since the tractor was purchased. Write a formula to express the tractor's value as a function of time: V(t) = (b) Horizontal intercept of the value function V(t): Vertical intercept of the value function V(t):

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

See similar textbooks

Related questions

Q: At low altitudes the altitude of a parachutist and time in the air are linearly related. A jump at…

Q: Determine a function using x and y that models the relationship above. Part B What is the…

A: here use basic of regression line

Q: 3. A wind turbine generates 1200 kW of power in a 20 mi/h wind. How much power does this turbine…

A: The given power formula for the wind turbine is P=av3, P is the power generated by the wind turbine,…

Q: In the year 1985, a house was valued at $110,000. By the year 2005, the value had appreciated to…

Q: A man of height 1.9 meters walks away from a 5- meter lamppost at a speed of 1.5 m/s. Find the rate…

A: Let Bc represents the lamp post and MN represents man. Then BC=5m, MN=1.9 m Let MC=x , MA=y Since,…

Q: The table shows the electricity rates charged by a company in the month. Charge…

A: The electricity rates charged by a company in the month are, Base charge (or fixed charges):…

Q: A bond is purchased for $1,000 that pays 6 percent of the purchase price annually. Is the amount…

Q: The population of North Carolina (NC) in Year 2000 was approximately 4,300,000 with an annual…

Q: If $2400 is invested for x years at 13% interest, compounded annually, the future value that results…

A: We have to solve the compound intrest problem and draw the graph for the same

Q: Suppose that the boy’s weight was increasing at the rate of 7 kilograms per year and his height was…

A: We know that, BMI=Bodyweight in kilogramHeight in meters2⇒B=wh2

Q: Suppose that $7000 is deposited in a savings account that pays 9% per annum, compounded biannually,…

A: A=P1+rmmt=70001+0.0922t Thus, the account balance is At=70001+0.0922t.

Q: A house increases in value in a linear fashion from $220,000 to $300,000 in 5 years.Find the…

Q: The tuition at a public university was $21,000 in 2008. Between 2008 and 2010, the tuition had…

A: Explanation for correct choice. The general exponential growth function equation can be written in…

Q: Find the daily revenue function given two equations

Q: An investment of $100 is placed into an account that earns interest, compounded annually,at a rate…

Question

A tractor has an initial price of $8000.00 and sells for $1100.00 after 23 years. Assume that the tractor's value depreciates linearly with the
passing years.
(a) Let V represent the tractor's value in dollars and let t represent the number of years since the tractor was purchased. Write a formula to
express the tractor's value as a function of time: V(t) =
...
...
(b) Horizontal intercept of the value function V(t):
...
Vertical intercept of the value function V(t):

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Inequality$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

Find an equation to model the vertical motion of the tip of a second hand on a clock, if the second hand is 15cm long. Use t=0 to represent the moment the second hand begins it's cycle at the top of the clock, and let y(t) represent the vertical distance above the center of the clock when t is in seconds. Graph the function, explaining how the values of A,B,C,D each give information about the graph of the function.
Graph y = 1/x .
Use function notation to represent the change in Sam's height above the ground over the time interval from t=4 seconds since the Ferris Wheel began moving to t=10 seconds since the Ferris Wheel started moving. What was the change in Sam's height above the ground as the amount of time since the Ferris Wheel started moving increases from 4 seconds to 10 seconds? Use function notation to represent the average rate of change of Sam's height above the ground (in feet) in terms of the amount of time (in seconds) since the Ferris Wheel started moving on the interval from t=4 to t=10. Determine the value of the average rate of change (represented in part e) of Sam's height above the ground (in feet) in terms of the amount of time (in seconds) since the Ferris Wheel started moving, as t increases from 4 to 10 seconds. Select an answer feet seconds feet per second seconds per foot
A 25,000 machiene depreciates linearly to 0 over a ten year period.What is the value of the machiene after 6 years?
The altitude of a plane is a function of the time since takeoff. Identify the A. time B. speed C. altitude D. acceleration
The following equation approximates the value of the U.S. Consumer Price Index (CPI) from December 2006 through July 2007: ?(?)=−0.04?3+0.4?2+0.1?+202 Where t is the time in months since the start of December 2006. Determine when inflation was speeding up and slowing down between the start of December 2006 and the start of July 2007.
(d) By how much does the velocity change from 1 to 2 seconds after the ball is thrown? By how much does the velocity change from 2 to 3 seconds after the ball is thrown? By how much does the velocity change from 3 to 4 seconds after the ball is thrown?
The following table gives the monthly premiums for an insurance policy on people of various ages. a. Find an exponential function that models the monthly premium as a function of age. b. Find the quadratic function that is the best fit for the data. c. Graph each function with the data points to determine which model is the better fit. a. The exponential function that models the data is y= 3.059 (1.104*). (Use integers or decimals rounded to the nearest thousandth as needed for any numbers in the expression.) b. The quadratic function that models the data is y= 6.188x2-557.818x+12,448.185. (Use integers or decimals rounded to the nearest thousandth as needed for any numbers in the expression.) Age 35 40 45 50 55 Monthly Premium (S) 127 164 242 362 559 Age 60 65 70 75 Full data set Monthly Premium (S) 946 1904 3485 5873
The daily production level is currently 100 filters and increasing by rate of 8 filters per day. (a) Estimate the change in daily production over the next week. filters (b) Estimate the daily production in a week. filters Need Help? Read It
A city's population was 28,500 people in the year 2015 and is growing by 950 people a year.(a) Give a formula for the city’s population, P, as a function of the number of years, t, since 2015. Do not use commas in your submitted answer. P= people. (b) What is the population predicted to be in 2020? P= people. (c) When is the population expected to reach 35,000? Round your answer to the nearest integer. The population will reach 35,000 in the year.
If Daniella opens a mutual fund account with a deposit of 15,000 and it promises to pay an annual interest rate of r% compounded on a monthly basis. Derive a function B, which shows the balance on Daniella's account the end of 6 years. Make a comparison of the rates of change in B with respect to the interest rate when r is 8%, 10% and 12%.
During Ricardo noticed an ink stain with a diameter of about 3 cm on the front of his teacher’s shirt. He then noticed that there was a pen in the pocket and that the ink blot was continuing to spread across the front of the teacher’s shirt. He estimated that the diameter of the ink blot seemed to be growing by about 0.5 cm every 2 minutes. a) Write an equation for the RADIUS, r, of the ink stain, as a function of time, t. Assume that t = 0 represents the time that Ricardo first noticed the ink stain. b) Write an equation showing the AREA, A, of the ink stain as a function of the time t. (Hint: It might help to first write A as a function of r. ) c) Draw a graph of the function A(t) for 10 minutes. d) At what time is the area of the ink stain about 25 square centimeter? Show how you answer this question. (i.e. ”I found it using desmos” is not sufficient)