Critical Thinking In buying a new car, one consideration might be how well the price of the car holds up over time, Different makes of cars have different depreciation rates. One way to compute a depreciation rate for a car is given here. Suppose that the current prices of a certain automobile are as shown in the table. A g e i n Y e a r s N e w 1 2 3 4 5 $ 38 , 000 $ 36 , 000 $ 32 , 400 $ 28 , 750 $ 25 , 400 $ 21 , 200 Use the formula N e w = O l d ( e R t ) to find R , the annual depreciation rate, for a specific time t . When might be the best time to trade in the car? Consult the NADA (“blue”) book and compare two like models that you are interested in. Which has the better depreciation rate?
Critical Thinking In buying a new car, one consideration might be how well the price of the car holds up over time, Different makes of cars have different depreciation rates. One way to compute a depreciation rate for a car is given here. Suppose that the current prices of a certain automobile are as shown in the table. A g e i n Y e a r s N e w 1 2 3 4 5 $ 38 , 000 $ 36 , 000 $ 32 , 400 $ 28 , 750 $ 25 , 400 $ 21 , 200 Use the formula N e w = O l d ( e R t ) to find R , the annual depreciation rate, for a specific time t . When might be the best time to trade in the car? Consult the NADA (“blue”) book and compare two like models that you are interested in. Which has the better depreciation rate?
Solution Summary: The author explains the formula of R, the annual depreciation rate for a specific time t, divided by the OLD value.
Critical Thinking In buying a new car, one consideration might be how well the price of the car holds up over time, Different makes of cars have different depreciation rates. One way to compute a depreciation rate for a car is given here. Suppose that the current prices of a certain automobile are as shown in the table.
A
g
e
i
n
Y
e
a
r
s
N
e
w
1
2
3
4
5
$
38
,
000
$
36
,
000
$
32
,
400
$
28
,
750
$
25
,
400
$
21
,
200
Use the formula
N
e
w
=
O
l
d
(
e
R
t
)
to find
R
, the annual depreciation rate, for a specific time
t
. When might be the best time to trade in the car? Consult the NADA (“blue”) book and compare two like models that you are interested in. Which has the better depreciation rate?
j)
f) lim
x+x ex
g) lim Inx
h) lim x-5
i) lim arctan x
x700
lim arctanx
811x
4. Evaluate the following integrals. Show your work.
a)
-x
b) f₁²x²/2 + x² dx
c) fe³xdx
d) [2 cos(5x) dx
e) √
35x6
3+5x7
dx
3
g) reve
√ dt
h) fx (x-5) 10 dx
dt
1+12
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