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?
4. Use method of separation of variable to solve the following wave equation
მłu
J²u
subject to
u(0,t) =0, for t> 0,
u(л,t) = 0, for t> 0,
=
t> 0,
at²
ax²'
u(x, 0) = 0,
0.01 x,
ut(x, 0) =
Π
0.01 (π-x),
0
Solve the following heat equation by method of separation variables:
ди
=
at
subject to
u(0,t) =0, for
-16024
ძx2 •
t>0, 0 0,
ux (4,t) = 0, for
t> 0,
u(x, 0) =
(x-3,
\-1,
0 < x ≤2
2≤ x ≤ 4.
ex
5.
important aspects.
Graph f(x)=lnx. Be sure to make your graph big enough to easily read (use the space given.) Label all
6
33
Chapter 4 Solutions
Pearson eText for Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry -- Instant Access (Pearson+)
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