A van is purchased new for $29,200 . a. Write a linear function of the form y = m t + b to represent the value y of the vehicle t years after purchase. Assume that the vehicle is depreciated by $2920 per year. b. Suppose that the vehicle is depreciated so that it holds only 80 % of its value from the previous year. Write an exponential function of the form y = V 0 b t , where V 0 is the initial value and t is the number of years after purchase. c. To the nearest dollar, determine the value of the vehicle after 5 yr and after 10 yr using the linear model. d. To the nearest dollar, determine the value of the vehicle after 5 yr and after 10 yr using the exponential model.
A van is purchased new for $29,200 . a. Write a linear function of the form y = m t + b to represent the value y of the vehicle t years after purchase. Assume that the vehicle is depreciated by $2920 per year. b. Suppose that the vehicle is depreciated so that it holds only 80 % of its value from the previous year. Write an exponential function of the form y = V 0 b t , where V 0 is the initial value and t is the number of years after purchase. c. To the nearest dollar, determine the value of the vehicle after 5 yr and after 10 yr using the linear model. d. To the nearest dollar, determine the value of the vehicle after 5 yr and after 10 yr using the exponential model.
Solution Summary: The author explains the linear function of the form y=mt+b and the exponential function.
a. Write a linear function of the form
y
=
m
t
+
b
to represent the value y of the vehicle t years after purchase. Assume that the vehicle is depreciated by
$2920
per year.
b. Suppose that the vehicle is depreciated so that it holds only
80
%
of its value from the previous year. Write an exponential function of the form
y
=
V
0
b
t
,
where
V
0
is the initial value and t is the number of years after purchase.
c. To the nearest dollar, determine the value of the vehicle after 5 yr and after 10 yr using the linear model.
d. To the nearest dollar, determine the value of the vehicle after 5 yr and after 10 yr using the exponential model.
5
Use the method of disks to find the volume of the solid that is obtained
when the region under the curve y = over the interval [4,17] is rotated
about the x-axis.
3. Use the method of washers to find the volume of the solid that is obtained
when the region between the graphs f(x) = √√2 and g(x) = secx over the
interval ≤x≤ is rotated about the x-axis.
4. Use cylindrical shells to find the volume of the solid generated when the
region enclosed by the given curves is revolved about the x-axis.
y = √√x, y = 0, y = √√3
Elementary Statistics: Picturing the World (7th Edition)
Knowledge Booster
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.
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY