Student Solutions Manual for Waner/Costenoble's Finite Math and Applied Calculus, 7th
7th Edition
ISBN: 9781337275972
Author: Waner, Stefan; Costenoble, Steven
Publisher: Cengage Learning
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Chapter 0.2, Problem 23E
To determine
To calculate: The simplified form of expression
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Can you answer this question and give step by step and why and how to get it. Can you write it (numerical method)
There are three options for investing $1150. The first earns 10% compounded annually, the second earns 10% compounded quarterly, and the third earns 10% compounded continuously. Find equations that model each investment growth and
use a graphing utility to graph each model in the same viewing window over a 20-year period. Use the graph to determine which investment yields the highest return after 20 years. What are the differences in earnings among the three
investment?
STEP 1: The formula for compound interest is
A =
nt
= P(1 + − − ) n²,
where n is the number of compoundings per year, t is the number of years, r is the interest rate, P is the principal, and A is the amount (balance) after t years. For continuous compounding, the formula reduces to
A = Pert
Find r and n for each model, and use these values to write A in terms of t for each case.
Annual Model
r=0.10
A = Y(t) = 1150 (1.10)*
n = 1
Quarterly Model
r = 0.10
n = 4
A = Q(t) = 1150(1.025) 4t
Continuous Model
r=0.10
A = C(t) =…
Use a graphing utility to find the point of intersection, if any, of the graphs of the functions. Round your result to three decimal places. (Enter NONE in any unused answer blanks.)
y = 100e0.01x
(x, y) =
y = 11,250
×
Chapter 0 Solutions
Student Solutions Manual for Waner/Costenoble's Finite Math and Applied Calculus, 7th
Ch. 0.1 - Prob. 1ECh. 0.1 - Prob. 2ECh. 0.1 - Prob. 3ECh. 0.1 - Prob. 4ECh. 0.1 - Prob. 5ECh. 0.1 - Prob. 6ECh. 0.1 - Prob. 7ECh. 0.1 - Prob. 8ECh. 0.1 - Prob. 9ECh. 0.1 - Prob. 10E
Ch. 0.1 - Prob. 11ECh. 0.1 - Prob. 12ECh. 0.1 - Prob. 13ECh. 0.1 - Prob. 14ECh. 0.1 - Prob. 15ECh. 0.1 - Prob. 16ECh. 0.1 - Calculate each expression in Exercises 124, giving...Ch. 0.1 - Prob. 18ECh. 0.1 - Prob. 19ECh. 0.1 - Prob. 20ECh. 0.1 - Prob. 21ECh. 0.1 - Prob. 22ECh. 0.1 - Prob. 23ECh. 0.1 - Prob. 24ECh. 0.1 - Prob. 25ECh. 0.1 - Prob. 26ECh. 0.1 - Prob. 27ECh. 0.1 - Prob. 28ECh. 0.1 - Prob. 29ECh. 0.1 - Prob. 30ECh. 0.1 - Prob. 31ECh. 0.1 - Prob. 32ECh. 0.1 - Prob. 33ECh. 0.1 - Prob. 34ECh. 0.1 - Prob. 35ECh. 0.1 - Prob. 36ECh. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Convert each expression in Exercises 25-50 into...Ch. 0.1 - Prob. 39ECh. 0.1 - Prob. 40ECh. 0.1 - Prob. 41ECh. 0.1 - Prob. 42ECh. 0.1 - Prob. 43ECh. 0.1 - Prob. 44ECh. 0.1 - Prob. 45ECh. 0.1 - Prob. 46ECh. 0.1 - Prob. 47ECh. 0.1 - Prob. 48ECh. 0.1 - Prob. 49ECh. 0.1 - Prob. 50ECh. 0.2 - Evaluate the expression sin Exercises 116. 33Ch. 0.2 - Evaluate the expression sin Exercises 116. (2)3Ch. 0.2 - Prob. 3ECh. 0.2 - Prob. 4ECh. 0.2 - Prob. 5ECh. 0.2 - Prob. 6ECh. 0.2 - Prob. 7ECh. 0.2 - Prob. 8ECh. 0.2 - Prob. 9ECh. 0.2 - Prob. 10ECh. 0.2 - Prob. 11ECh. 0.2 - Prob. 12ECh. 0.2 - Prob. 13ECh. 0.2 - Prob. 14ECh. 0.2 - Prob. 15ECh. 0.2 - Prob. 16ECh. 0.2 - Prob. 17ECh. 0.2 - Prob. 18ECh. 0.2 - Prob. 19ECh. 0.2 - Prob. 20ECh. 0.2 - Prob. 21ECh. 0.2 - Prob. 22ECh. 0.2 - Prob. 23ECh. 0.2 - Prob. 24ECh. 0.2 - Prob. 25ECh. 0.2 - Prob. 26ECh. 0.2 - Prob. 27ECh. 0.2 - Prob. 28ECh. 0.2 - Prob. 29ECh. 0.2 - Prob. 30ECh. 0.2 - Prob. 31ECh. 0.2 - Prob. 32ECh. 0.2 - Convert the expressions in Exercises 31-36 to...Ch. 0.2 - Prob. 34ECh. 0.2 - Prob. 35ECh. 0.2 - Prob. 36ECh. 0.2 - Prob. 37ECh. 0.2 - Prob. 38ECh. 0.2 - Prob. 39ECh. 0.2 - Prob. 40ECh. 0.2 - Prob. 41ECh. 0.2 - Prob. 42ECh. 0.2 - Prob. 43ECh. 0.2 - Prob. 44ECh. 0.2 - Prob. 45ECh. 0.2 - Prob. 46ECh. 0.2 - Prob. 47ECh. 0.2 - Prob. 48ECh. 0.2 - Prob. 49ECh. 0.2 - Prob. 50ECh. 0.2 - Prob. 51ECh. 0.2 - Prob. 52ECh. 0.2 - Prob. 53ECh. 0.2 - Prob. 54ECh. 0.2 - Prob. 55ECh. 0.2 - Prob. 56ECh. 0.2 - Prob. 57ECh. 0.2 - Prob. 58ECh. 0.2 - Prob. 59ECh. 0.2 - Prob. 60ECh. 0.2 - Simplify the expressions in Exercises 5764, given...Ch. 0.2 - Prob. 62ECh. 0.2 - Prob. 63ECh. 0.2 - Prob. 64ECh. 0.2 - Prob. 65ECh. 0.2 - Prob. 66ECh. 0.2 - Prob. 67ECh. 0.2 - Prob. 68ECh. 0.2 - Prob. 69ECh. 0.2 - Prob. 70ECh. 0.2 - Prob. 71ECh. 0.2 - Prob. 72ECh. 0.2 - Prob. 73ECh. 0.2 - Prob. 74ECh. 0.2 - Prob. 75ECh. 0.2 - Prob. 76ECh. 0.2 - Prob. 77ECh. 0.2 - Prob. 78ECh. 0.2 - Prob. 79ECh. 0.2 - Prob. 80ECh. 0.2 - Prob. 81ECh. 0.2 - Prob. 82ECh. 0.2 - Prob. 83ECh. 0.2 - Prob. 84ECh. 0.2 - Prob. 85ECh. 0.2 - Prob. 86ECh. 0.2 - Convert the expressions in Exercises 8596 radical...Ch. 0.2 - Prob. 88ECh. 0.2 - Prob. 89ECh. 0.2 - Prob. 90ECh. 0.2 - Prob. 91ECh. 0.2 - Prob. 92ECh. 0.2 - Prob. 93ECh. 0.2 - Prob. 94ECh. 0.2 - Prob. 95ECh. 0.2 - Prob. 96ECh. 0.2 - Prob. 97ECh. 0.2 - Prob. 98ECh. 0.2 - Prob. 99ECh. 0.2 - Prob. 100ECh. 0.2 - Prob. 101ECh. 0.2 - Prob. 102ECh. 0.2 - Prob. 103ECh. 0.2 - Prob. 104ECh. 0.2 - Prob. 105ECh. 0.2 - Prob. 106ECh. 0.2 - Prob. 107ECh. 0.2 - Prob. 108ECh. 0.2 - Prob. 109ECh. 0.2 - Prob. 110ECh. 0.2 - Prob. 111ECh. 0.2 - Prob. 112ECh. 0.2 - Prob. 113ECh. 0.2 - Prob. 114ECh. 0.2 - Prob. 115ECh. 0.2 - Prob. 116ECh. 0.2 - Prob. 117ECh. 0.2 - Prob. 118ECh. 0.2 - Prob. 119ECh. 0.2 - Prob. 120ECh. 0.3 - Prob. 1ECh. 0.3 - Prob. 2ECh. 0.3 - Prob. 3ECh. 0.3 - Prob. 4ECh. 0.3 - Prob. 5ECh. 0.3 - Prob. 6ECh. 0.3 - Prob. 7ECh. 0.3 - Prob. 8ECh. 0.3 - Prob. 9ECh. 0.3 - Prob. 10ECh. 0.3 - Prob. 11ECh. 0.3 - Expand each expression in Exercises 122. (y1y)2Ch. 0.3 - Prob. 13ECh. 0.3 - Prob. 14ECh. 0.3 - Prob. 15ECh. 0.3 - Prob. 16ECh. 0.3 - Prob. 17ECh. 0.3 - Prob. 18ECh. 0.3 - Prob. 19ECh. 0.3 - Prob. 20ECh. 0.3 - Prob. 21ECh. 0.3 - Prob. 22ECh. 0.3 - Prob. 23ECh. 0.3 - Prob. 24ECh. 0.3 - Prob. 25ECh. 0.3 - Prob. 26ECh. 0.3 - Prob. 27ECh. 0.3 - Prob. 28ECh. 0.3 - Prob. 29ECh. 0.3 - Prob. 30ECh. 0.3 - Prob. 31ECh. 0.3 - Prob. 32ECh. 0.3 - Prob. 33ECh. 0.3 - Prob. 34ECh. 0.3 - Prob. 35ECh. 0.3 - Prob. 36ECh. 0.3 - Prob. 37ECh. 0.3 - Prob. 38ECh. 0.3 - Prob. 39ECh. 0.3 - Prob. 40ECh. 0.3 - Prob. 41ECh. 0.3 - Prob. 42ECh. 0.3 - Prob. 43ECh. 0.3 - Prob. 44ECh. 0.3 - Prob. 45ECh. 0.3 - Prob. 46ECh. 0.3 - Prob. 47ECh. 0.3 - Prob. 48ECh. 0.4 - Prob. 1ECh. 0.4 - Prob. 2ECh. 0.4 - Prob. 3ECh. 0.4 - Prob. 4ECh. 0.4 - Prob. 5ECh. 0.4 - Prob. 6ECh. 0.4 - Rewrite each expression in Exercises 116 as a...Ch. 0.4 - Prob. 8ECh. 0.4 - Rewrite each expression in Exercises 116 as a...Ch. 0.4 - Prob. 10ECh. 0.4 - Prob. 11ECh. 0.4 - Prob. 12ECh. 0.4 - Prob. 13ECh. 0.4 - Rewrite each expression in Exercises 116 as a...Ch. 0.4 - Prob. 15ECh. 0.4 - Prob. 16ECh. 0.5 - Prob. 1ECh. 0.5 - Prob. 2ECh. 0.5 - Prob. 3ECh. 0.5 - Prob. 4ECh. 0.5 - Prob. 5ECh. 0.5 - Prob. 6ECh. 0.5 - Prob. 7ECh. 0.5 - Prob. 8ECh. 0.5 - Prob. 9ECh. 0.5 - Prob. 10ECh. 0.5 - Prob. 11ECh. 0.5 - Prob. 12ECh. 0.5 - Prob. 13ECh. 0.5 - Prob. 14ECh. 0.5 - Prob. 15ECh. 0.5 - Prob. 16ECh. 0.5 - Prob. 17ECh. 0.5 - Prob. 18ECh. 0.5 - Prob. 19ECh. 0.5 - Prob. 20ECh. 0.5 - Prob. 21ECh. 0.5 - Prob. 22ECh. 0.5 - Prob. 23ECh. 0.5 - Prob. 24ECh. 0.5 - Prob. 25ECh. 0.5 - Prob. 26ECh. 0.5 - Prob. 27ECh. 0.5 - Prob. 28ECh. 0.5 - Prob. 29ECh. 0.5 - Prob. 30ECh. 0.5 - Prob. 31ECh. 0.5 - Prob. 32ECh. 0.5 - Prob. 33ECh. 0.5 - Find all possible real solutions of each equation...Ch. 0.5 - Prob. 35ECh. 0.5 - Prob. 36ECh. 0.5 - Prob. 37ECh. 0.5 - Prob. 38ECh. 0.5 - Prob. 39ECh. 0.5 - Prob. 40ECh. 0.5 - Prob. 41ECh. 0.5 - Prob. 42ECh. 0.5 - Prob. 43ECh. 0.5 - Prob. 44ECh. 0.6 - Prob. 1ECh. 0.6 - Prob. 2ECh. 0.6 - Prob. 3ECh. 0.6 - Prob. 4ECh. 0.6 - Prob. 5ECh. 0.6 - Prob. 6ECh. 0.6 - Prob. 7ECh. 0.6 - Prob. 8ECh. 0.6 - Prob. 9ECh. 0.6 - Prob. 10ECh. 0.6 - Prob. 11ECh. 0.6 - Prob. 12ECh. 0.6 - Prob. 13ECh. 0.6 - Prob. 14ECh. 0.6 - Prob. 15ECh. 0.6 - Prob. 16ECh. 0.6 - Prob. 17ECh. 0.6 - Prob. 18ECh. 0.6 - Prob. 19ECh. 0.6 - Prob. 20ECh. 0.6 - Prob. 21ECh. 0.6 - Prob. 22ECh. 0.6 - Prob. 23ECh. 0.6 - Prob. 24ECh. 0.6 - Prob. 25ECh. 0.6 - Prob. 26ECh. 0.7 - Prob. 1ECh. 0.7 - Prob. 2ECh. 0.7 - Prob. 3ECh. 0.7 - Prob. 4ECh. 0.7 - Prob. 5ECh. 0.7 - Prob. 6ECh. 0.7 - Prob. 7ECh. 0.7 - Prob. 8ECh. 0.7 - Prob. 9ECh. 0.7 - Prob. 10ECh. 0.7 - Prob. 11ECh. 0.7 - Prob. 12ECh. 0.7 - Prob. 13ECh. 0.7 - Prob. 14ECh. 0.7 - Prob. 15ECh. 0.7 - Prob. 16ECh. 0.7 - Prob. 17ECh. 0.7 - Prob. 18ECh. 0.7 - Prob. 19ECh. 0.7 - Prob. 20ECh. 0.8 - In Exercises 14, complete the given tables....Ch. 0.8 - Prob. 2ECh. 0.8 - Prob. 3ECh. 0.8 - Prob. 4ECh. 0.8 - Prob. 5ECh. 0.8 - Prob. 6ECh. 0.8 - Prob. 7ECh. 0.8 - Prob. 8ECh. 0.8 - Prob. 9ECh. 0.8 - Prob. 10ECh. 0.8 - Prob. 11ECh. 0.8 - Prob. 12ECh. 0.8 - Prob. 13ECh. 0.8 - Prob. 14ECh. 0.8 - Prob. 15ECh. 0.8 - Prob. 16ECh. 0.8 - Prob. 17ECh. 0.8 - Prob. 18ECh. 0.8 - Prob. 19ECh. 0.8 - Prob. 20ECh. 0.8 - Prob. 21ECh. 0.8 - Prob. 22ECh. 0.8 - Prob. 23ECh. 0.8 - Prob. 24ECh. 0.8 - Prob. 25ECh. 0.8 - Prob. 26ECh. 0.8 - Prob. 27ECh. 0.8 - Prob. 28ECh. 0.8 - Prob. 29ECh. 0.8 - Prob. 30ECh. 0.8 - Prob. 31ECh. 0.8 - Prob. 32ECh. 0.8 - Prob. 33ECh. 0.8 - Prob. 34ECh. 0.8 - Prob. 35ECh. 0.8 - Prob. 36ECh. 0.8 - Prob. 37ECh. 0.8 - Prob. 38ECh. 0.8 - Prob. 39ECh. 0.8 - Prob. 40ECh. 0.8 - Prob. 41ECh. 0.8 - Prob. 42ECh. 0.8 - Prob. 43ECh. 0.8 - Prob. 44ECh. 0.8 - Prob. 45ECh. 0.8 - Prob. 46ECh. 0.8 - Prob. 47ECh. 0.8 - Prob. 48ECh. 0.8 - Prob. 49ECh. 0.8 - Prob. 50ECh. 0.8 - Prob. 51ECh. 0.8 - Prob. 52ECh. 0.8 - Prob. 53ECh. 0.8 - Prob. 54ECh. 0.8 - Prob. 55ECh. 0.8 - Prob. 56E
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