Time to Double or Triple an Investment The formula t = ln m n ln ( 1 + r n ) can be used to find the number of years t required to multiply an investment m times when r is the per annum interest rate compounded n times a year. (a) How many years will it take to double the value of an IRA that compounds annually at the rate of 6 % ? (b) How many years will it take to triple the value of a savings account that compounds quarterly at an annual rate of 5 % ? (c) Give a derivation of this formula.
Time to Double or Triple an Investment The formula t = ln m n ln ( 1 + r n ) can be used to find the number of years t required to multiply an investment m times when r is the per annum interest rate compounded n times a year. (a) How many years will it take to double the value of an IRA that compounds annually at the rate of 6 % ? (b) How many years will it take to triple the value of a savings account that compounds quarterly at an annual rate of 5 % ? (c) Give a derivation of this formula.
Time to Double or Triple an Investment
The formula
can be used to find the number of years
required to multiply an investment
times when
is the per annum interest rate compounded
times a year.
(a) How many years will it take to double the value of an IRA that compounds annually at the rate of
?
(b) How many years will it take to triple the value of a savings account that compounds quarterly at an annual rate of
?
2. [-/4 Points]
DETAILS
MY NOTES
SESSCALCET2 7.3.002.
Let S be the solid obtained by rotating the region shown in the figure about the y-axis. (Assume a = 6 and b = 2.)
ASK YOUR TEACHER
0
y = a sin(bx²)
Sketch a typical approximating shell.
y
6
4
2
x
π/b
y
2
1
x
0.5
1.0
1.5
0.2
0.4
0.6
0.8
1.0
-2
-1
-4
The graph of f', the derivative of f, is shown in the graph below. If f(-9) = -5, what is the value of f(-1)?
y
87 19
6
LO
5
4
3
1
Graph of f'
x
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1
1
2
3
4 5
6
7 8 9 10
-1
-2
-3
-4
-5
-6
-7
-8
564%
Let f(x)=−7e^xsinxf'(x)=
Chapter 5 Solutions
Precalculus Enhanced with Graphing Utilities Plus MyLab Math with Pearson eText - Access Card Package (7th Edition) (Sullivan & Sullivan Precalculus Titles)
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