The Russell Index tracks the average performance of various groups of stocks. Figure 3 shows that, on average, a $ 10 , 000 investment in midcap growth funds over a 10 -year period would have grown to $ 63 , 000 . What annual nominal rate would produce the same growth if interest were (A) compounded annually? (B) compounded continuously? Express answers as percentages, rounded to three decimal places.
The Russell Index tracks the average performance of various groups of stocks. Figure 3 shows that, on average, a $ 10 , 000 investment in midcap growth funds over a 10 -year period would have grown to $ 63 , 000 . What annual nominal rate would produce the same growth if interest were (A) compounded annually? (B) compounded continuously? Express answers as percentages, rounded to three decimal places.
Solution Summary: The author calculates the annual nominal rate compounded annually when 10000 is invested for 10 years. The formula for compound interest is represented by A=P(1+rright
The Russell Index tracks the average performance of various groups of stocks. Figure
3
shows that, on average, a
$
10
,
000
investment in midcap growth funds over a
10
-year period would have grown to
$
63
,
000
. What annual nominal rate would produce the same growth if interest were
(A) compounded annually?
(B) compounded continuously?
Express answers as percentages, rounded to three decimal places.
What is a solution to a differential equation? We said that a differential equation is an equation that
describes the derivative, or derivatives, of a function that is unknown to us. By a solution to a differential
equation, we mean simply a function that satisfies this description.
2. Here is a differential equation which describes an unknown position function s(t):
ds
dt
318
4t+1,
ds
(a) To check that s(t) = 2t2 + t is a solution to this differential equation, calculate
you really do get 4t +1.
and check that
dt'
(b) Is s(t) = 2t2 +++ 4 also a solution to this differential equation?
(c) Is s(t)=2t2 + 3t also a solution to this differential equation?
ds
1
dt
(d) To find all possible solutions, start with the differential equation = 4t + 1, then move dt to the
right side of the equation by multiplying, and then integrate both sides. What do you get?
(e) Does this differential equation have a unique solution, or an infinite family of solutions?
these are solutions to a tutorial that was done and im a little lost. can someone please explain to me how these iterations function, for example i Do not know how each set of matrices produces a number if someine could explain how its done and provide steps it would be greatly appreciated thanks.
Chapter 3 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
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