Use a calculator with an e x key to solve Exercises 71-76. The bar graph shows the percentage of U.S. high school seniors who applied to more than three colleges for selected years from 1980 through 2013. The data can be modeled by f ( x ) = x + 31 and g ( x ) = 32 ⋅ 7 e 0 ⋅ 0217 x , in which f(x) and g(x) represent the percentage of high school seniors who applied to more than three colleges x years after 1980. Use these functions to solve Exercises 71-72. Where necessary, round answers to the nearest percent. In 1626, Peter Minuit convinced the Wappinger Indians to sell him Manhattan Island for $24. If the Native Americans had put the $24 into a bank account paying 5% interest. How much would the investment have been worth in the year 2010 if interest were compounded? a. monthly? b. continuously? The bar graph shows the percentage of people 25 years of age and older who were college graduates in the United States for eight selected years. The functions f ( x ) = 6 ⋅ 43 ( 1 ⋅ 027 ) r and g ( x ) = 40 ⋅ 9 1 + 6 ⋅ 6 e − 0 ⋅ 049 x
Use a calculator with an e x key to solve Exercises 71-76. The bar graph shows the percentage of U.S. high school seniors who applied to more than three colleges for selected years from 1980 through 2013. The data can be modeled by f ( x ) = x + 31 and g ( x ) = 32 ⋅ 7 e 0 ⋅ 0217 x , in which f(x) and g(x) represent the percentage of high school seniors who applied to more than three colleges x years after 1980. Use these functions to solve Exercises 71-72. Where necessary, round answers to the nearest percent. In 1626, Peter Minuit convinced the Wappinger Indians to sell him Manhattan Island for $24. If the Native Americans had put the $24 into a bank account paying 5% interest. How much would the investment have been worth in the year 2010 if interest were compounded? a. monthly? b. continuously? The bar graph shows the percentage of people 25 years of age and older who were college graduates in the United States for eight selected years. The functions f ( x ) = 6 ⋅ 43 ( 1 ⋅ 027 ) r and g ( x ) = 40 ⋅ 9 1 + 6 ⋅ 6 e − 0 ⋅ 049 x
Solution Summary: The author calculates the worth of 24 in 2010, invested in 1626, if the interest was compounded monthly with a rate of 5%.
Use a calculator with an
e
x
key to solve Exercises 71-76.
The bar graph shows the percentage of U.S. high school seniors who applied to more than three colleges for selected years from 1980 through 2013.
The data can be modeled by
f
(
x
)
=
x
+
31
and
g
(
x
)
=
32
⋅
7
e
0
⋅
0217
x
,
in which f(x) and g(x) represent the percentage of high school seniors who applied to more than three colleges x years after 1980. Use these functions to solve Exercises 71-72. Where necessary, round answers to the nearest percent.
In 1626, Peter Minuit convinced the Wappinger Indians to sell him Manhattan Island for $24. If the Native Americans had put the $24 into a bank account paying 5% interest. How much would the investment have been worth in the year 2010 if interest were compounded?
a. monthly? b. continuously?
The bar graph shows the percentage of people 25 years of age and older who were college graduates in the United States for eight selected years.
The functions
f
(
x
)
=
6
⋅
43
(
1
⋅
027
)
r
and
g
(
x
)
=
40
⋅
9
1
+
6
⋅
6
e
−
0
⋅
049
x
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 3 Solutions
Precalculus, Books A La Carte Edition Plus MyLab Math with eText -- Access Card Package (6th Edition)
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