The depreciation rate for a car is given by r = 1 − − S C 1 / π , where S is the value of the car after n years, and C is the initial cost. Determine the depreciation rate for a car that originally cost $ 22 , 990 and was valued at $ 11 , 500 after 4 yr. Round to the nearest tenth of a percent.
The depreciation rate for a car is given by r = 1 − − S C 1 / π , where S is the value of the car after n years, and C is the initial cost. Determine the depreciation rate for a car that originally cost $ 22 , 990 and was valued at $ 11 , 500 after 4 yr. Round to the nearest tenth of a percent.
Solution Summary: The author calculates the depreciation rate of a car by the formula: r=1-(SC)1/n.
The depreciation rate for a car is given by
r
=
1
−
−
S
C
1
/
π
,
where
S
is the value of the car after
n
years, and
C
is the initial cost. Determine the depreciation rate for a car that
originally cost
$
22
,
990
and was valued at
$
11
,
500
after 4 yr. Round to the nearest tenth of a percent.
Use the information to find and compare Δy and dy. (Round your answers to four decimal places.)
y = x4 + 7 x = −3 Δx = dx = 0.01
Δy =
dy =
4. A car travels in a straight line for one hour. Its velocity, v, in miles per hour at six minute intervals is shown
in the table. For each problem, approximate the distance the car traveled (in miles) using the given method,
on the provided interval, and with the given number of rectangles or trapezoids, n.
Time (min) 0 6 12 18|24|30|36|42|48|54|60
Speed (mph) 0 10 20 40 60 50 40 30 40 40 65
a.) Left Rectangles, [0, 30] n=5
b.) Right Rectangles, [24, 42] n=3
c.) Midpoint Rectangles, [24, 60] n=3
d.) Trapezoids, [0, 24] n=4
The bracket BCD is hinged at C and attached to a control cable at B. Let F₁ = 275 N and F2 = 275 N.
F1
B
a=0.18 m
C
A
0.4 m
-0.4 m-
0.24 m
Determine the reaction at C.
The reaction at C
N Z
F2
D
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