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.
i) Consider the set S = {−6, −3, 0, 3, 6}. Draw a graph G whose set of verti-
ces be S and such that for i, j ∈ S, ij ∈ E(G) if ij are related to a rule that t'u
you choose to apply to i and j.
(ii) A graph G of order 12 has as a set of vertices c1, c2, . . . , c12 for the do-
ce configurations of figure 1. A movement on said board corresponds to moving a
coin to an unoccupied square using the following two rules:
1. the gold coin can move only horizontally or diagonally,
2. the silver coin can move only vertically or diagonally.
Two vertices ci, cj, i̸ = j are adjacent if it is possible to move ci to cj in a single movement.
a) What vertices are adjacent to c1 in G?
b) Draw the subgraph induced by {c2, c6, c9, c11}
2. Find the exact value of 12 + 12+12+√√12+ √12+
12
he following contingency table details the sex and age distribution of the patients currently registered at a family physician's medical practice. If the doctor sees 17 patients per day, use the binomial formula and the information contained in the table to answer the question:
SEX
AGE
Under 20
20-39
40-59
60-79
80 or over
TOTAL
Male
5.6%
12.8%
18.4%
14.4%
3.6%
54.8%
Female
2.8%
9.6%
13.2%
10.4%
9.2%
45.2%
TOTAL
8.4%
22.4%
31.6%
24.8%
12.8%
100.0%
if the doctor sees 6 male patients in a day, what is the probability that at most half of them are aged under 39?
Chapter 3 Solutions
Finite Mathematics for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
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