PRECALCULUS:CONC LL+MML 18WK PACKAGE
4th Edition
ISBN: 9780136166924
Author: Sullivan
Publisher: PEARSON
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Chapter 12.1, Problem 20AYU
To determine
To find: How many are not in ?
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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
×
5. For the function y-x³-3x²-1, use
derivatives to:
(a) determine the intervals of increase and
decrease.
(b) determine the local (relative) maxima and
minima.
(e) determine the intervals of concavity.
(d) determine the points of inflection.
(e) sketch the graph with the above information
indicated on the graph.
Chapter 12 Solutions
PRECALCULUS:CONC LL+MML 18WK PACKAGE
Ch. 12.1 - Prob. 1AYUCh. 12.1 - Prob. 2AYUCh. 12.1 - Prob. 3AYUCh. 12.1 - Prob. 4AYUCh. 12.1 - Prob. 5AYUCh. 12.1 - Prob. 6AYUCh. 12.1 - Prob. 7AYUCh. 12.1 - Prob. 8AYUCh. 12.1 - Prob. 9AYUCh. 12.1 - Prob. 10AYU
Ch. 12.1 - Prob. 11AYUCh. 12.1 - Prob. 12AYUCh. 12.1 - Prob. 13AYUCh. 12.1 - Prob. 14AYUCh. 12.1 - Prob. 15AYUCh. 12.1 - Prob. 16AYUCh. 12.1 - Prob. 17AYUCh. 12.1 - Prob. 18AYUCh. 12.1 - Prob. 19AYUCh. 12.1 - Prob. 20AYUCh. 12.1 - Prob. 21AYUCh. 12.1 - Prob. 22AYUCh. 12.1 - Prob. 23AYUCh. 12.1 - Prob. 24AYUCh. 12.1 - Prob. 25AYUCh. 12.1 - Prob. 26AYUCh. 12.1 - Analyzing Survey Data In a consumer survey of 500...Ch. 12.1 - Prob. 28AYUCh. 12.1 - Prob. 29AYUCh. 12.1 - Prob. 30AYUCh. 12.1 - Prob. 31AYUCh. 12.1 - Prob. 32AYUCh. 12.1 - Prob. 33AYUCh. 12.1 - Prob. 34AYUCh. 12.1 - Prob. 36AYUCh. 12.1 - Prob. 37AYUCh. 12.1 - Prob. 38AYUCh. 12.1 - Prob. 39AYUCh. 12.2 - Prob. 1AYUCh. 12.2 - Prob. 2AYUCh. 12.2 - Prob. 3AYUCh. 12.2 - Prob. 4AYUCh. 12.2 - Prob. 5AYUCh. 12.2 - Prob. 6AYUCh. 12.2 - Prob. 7AYUCh. 12.2 - Prob. 8AYUCh. 12.2 - Prob. 9AYUCh. 12.2 - Prob. 10AYUCh. 12.2 - Prob. 11AYUCh. 12.2 - Prob. 12AYUCh. 12.2 - Prob. 13AYUCh. 12.2 - Prob. 14AYUCh. 12.2 - Prob. 15AYUCh. 12.2 - Prob. 16AYUCh. 12.2 - Prob. 17AYUCh. 12.2 - Prob. 18AYUCh. 12.2 - Prob. 19AYUCh. 12.2 - Prob. 20AYUCh. 12.2 - Prob. 21AYUCh. 12.2 - Prob. 22AYUCh. 12.2 - Prob. 23AYUCh. 12.2 - Prob. 24AYUCh. 12.2 - Prob. 25AYUCh. 12.2 - Prob. 26AYUCh. 12.2 - Prob. 27AYUCh. 12.2 - Prob. 28AYUCh. 12.2 - Prob. 29AYUCh. 12.2 - Prob. 30AYUCh. 12.2 - Prob. 31AYUCh. 12.2 - Prob. 32AYUCh. 12.2 - Prob. 33AYUCh. 12.2 - Prob. 34AYUCh. 12.2 - Prob. 35AYUCh. 12.2 - Prob. 36AYUCh. 12.2 - Prob. 37AYUCh. 12.2 - Prob. 38AYUCh. 12.2 - Prob. 39AYUCh. 12.2 - Prob. 40AYUCh. 12.2 - Prob. 41AYUCh. 12.2 - Establishing Committees In how many ways can a...Ch. 12.2 - Prob. 43AYUCh. 12.2 - Prob. 44AYUCh. 12.2 - Prob. 45AYUCh. 12.2 - Prob. 46AYUCh. 12.2 - Prob. 47AYUCh. 12.2 - Prob. 48AYUCh. 12.2 - Prob. 49AYUCh. 12.2 - Prob. 50AYUCh. 12.2 - Forming Words How many different 9-letter words...Ch. 12.2 - Prob. 52AYUCh. 12.2 - Prob. 53AYUCh. 12.2 - Prob. 54AYUCh. 12.2 - Prob. 55AYUCh. 12.2 - Prob. 56AYUCh. 12.2 - Prob. 57AYUCh. 12.2 - Prob. 58AYUCh. 12.2 - Prob. 59AYUCh. 12.2 - Prob. 60AYUCh. 12.2 - Prob. 61AYUCh. 12.2 - Prob. 62AYUCh. 12.2 - Prob. 63AYUCh. 12.2 - Prob. 64AYUCh. 12.2 - Prob. 65AYUCh. 12.2 - Prob. 66AYUCh. 12.2 - Prob. 67AYUCh. 12.2 - Prob. 68AYUCh. 12.2 - Prob. 69AYUCh. 12.2 - Prob. 70AYUCh. 12.3 - When the same probability is assigned to each...Ch. 12.3 - Prob. 2AYUCh. 12.3 - Prob. 3AYUCh. 12.3 - Prob. 4AYUCh. 12.3 - Prob. 5AYUCh. 12.3 - Prob. 6AYUCh. 12.3 - Prob. 7AYUCh. 12.3 - Prob. 8AYUCh. 12.3 - Prob. 9AYUCh. 12.3 - Prob. 10AYUCh. 12.3 - Prob. 11AYUCh. 12.3 - Prob. 12AYUCh. 12.3 - Prob. 13AYUCh. 12.3 - Prob. 14AYUCh. 12.3 - Prob. 15AYUCh. 12.3 - Prob. 16AYUCh. 12.3 - Prob. 17AYUCh. 12.3 - Prob. 18AYUCh. 12.3 - Prob. 19AYUCh. 12.3 - Prob. 20AYUCh. 12.3 - Prob. 21AYUCh. 12.3 - Prob. 22AYUCh. 12.3 - Prob. 23AYUCh. 12.3 - Prob. 24AYUCh. 12.3 - Prob. 25AYUCh. 12.3 - Prob. 26AYUCh. 12.3 - Prob. 27AYUCh. 12.3 - Prob. 28AYUCh. 12.3 - Prob. 29AYUCh. 12.3 - Prob. 30AYUCh. 12.3 - Prob. 31AYUCh. 12.3 - Prob. 32AYUCh. 12.3 - Prob. 33AYUCh. 12.3 - Prob. 34AYUCh. 12.3 - Prob. 35AYUCh. 12.3 - Prob. 36AYUCh. 12.3 - Prob. 37AYUCh. 12.3 - Prob. 38AYUCh. 12.3 - Prob. 39AYUCh. 12.3 - Prob. 40AYUCh. 12.3 - Prob. 41AYUCh. 12.3 - Prob. 42AYUCh. 12.3 - Prob. 43AYUCh. 12.3 - Prob. 45AYUCh. 12.3 - Prob. 46AYUCh. 12.3 - Prob. 47AYUCh. 12.3 - Prob. 48AYUCh. 12.3 - Prob. 49AYUCh. 12.3 - Prob. 50AYUCh. 12.3 - Prob. 51AYUCh. 12.3 - Prob. 52AYUCh. 12.3 - Prob. 53AYUCh. 12.3 - Prob. 54AYUCh. 12.3 - Prob. 55AYUCh. 12.3 - For Problems 57-60, a golf ball is selected at...Ch. 12.3 - Prob. 57AYUCh. 12.3 - Prob. 58AYUCh. 12.3 - Prob. 59AYUCh. 12.3 - Prob. 60AYUCh. 12.3 - Prob. 61AYUCh. 12.3 - Prob. 62AYUCh. 12.3 - Prob. 63AYUCh. 12.3 - Prob. 64AYUCh. 12.3 - Prob. 65AYUCh. 12.3 - Prob. 66AYUCh. 12.3 - Prob. 67AYUCh. 12.3 - Prob. 68AYUCh. 12.3 - Prob. 69AYUCh. 12.3 - Prob. 70AYUCh. 12.3 - Birthday Problem What is the probability that at...Ch. 12.3 - Birthday Problem What is the probability that at...Ch. 12.3 - Winning a Lottery: Powerball is a multistate...Ch. 12.3 - To graph , shift the graph of units and then ...Ch. 12.3 - Find the rectangular coordinates of the point...Ch. 12.3 - Solve: log 5 ( x+3 )=2Ch. 12.3 -
Ch. 12 - Prob. 1RECh. 12 - If , , and , find .
Ch. 12 - If n( A )=12 , n( AB )=30 , and n( AB )=6 , find...Ch. 12 - In Problems 4-9, use the information supplied in...Ch. 12 - In Problems 4-9, use the information supplied in...Ch. 12 - In Problems 4-9, use the information supplied in...Ch. 12 - In Problems 4-9, use the information supplied in...Ch. 12 - In Problems 4-9, use the information supplied in...Ch. 12 - In Problems 4-9, use the information supplied in...Ch. 12 - In Problems 10 and 11, compute the value of the...Ch. 12 - In Problems 10 and 11, compute the value of the...Ch. 12 - Stocking a Store A clothing store sells pure wool...Ch. 12 - Baseball On a given day, the American Baseball...Ch. 12 - Choosing Seats If 4 people enter a bus that has 9...Ch. 12 - Choosing a Team In how many ways can a squad of 4...Ch. 12 - Baseball In how many ways can 2 teams from 14...Ch. 12 - Telephone Numbers Using the digits 0, 1, 2,...,9,...Ch. 12 - License Plate Possibilities A license plate...Ch. 12 - Binary Codes Using the digits 0 and 1, how many...Ch. 12 - Arranging Flags How many different vertical...Ch. 12 - Forming Committees A group of 9 people is going to...Ch. 12 - Birthday Problem For this problem, assume that a...Ch. 12 - 23. Unemployment According to the U.S. Bureau of...Ch. 12 - You have four 1 bills, three 5 bills, and two 10...Ch. 12 - Each of the numbers 1, 2,..., 100 is written on an...Ch. 12 - At the Milex tune-up and brake repair shop, the...Ch. 12 - In Problems 14, a survey of 70college freshmen...Ch. 12 - In Problems 14, a survey of 70college freshmen...Ch. 12 - In Problems 14, a survey of 70college freshmen...Ch. 12 - In Problems 14, a survey of 70college freshmen...Ch. 12 - In Problems 57, compute the value of the given...Ch. 12 - In Problems 57, compute the value of the given...Ch. 12 - In Problems 57, compute the value of the given...Ch. 12 - MMs offers customers the opportunity to create...Ch. 12 - How many distinct 8-letter words (meaningful or...Ch. 12 - In horse racing, an exacta bet requires the bettor...Ch. 12 - In Ohio, license plates consist of three letters...Ch. 12 - Kiersten applies for admission to the University...Ch. 12 - A cooler contains 8 bottles of Pepsi, 5 bottles of...Ch. 12 - A study on the age distribution of students at a...Ch. 12 - In a certain lottery, there are ten balls numbered...Ch. 12 - If you roll die five times, what is the...Ch. 12 - Solve: 3x22x=1Ch. 12 - Graph f(x)=x2+4x5 by determining whether the graph...Ch. 12 - Graph f(x)=2(x+1)24 using transformations.Ch. 12 - Solve: |x4|0.01Ch. 12 - Find the complex zeros of f(x)=5x49x37x231x6Ch. 12 - Graph g(x)=3x1+5 using transformations. Find the...Ch. 12 - What is the exact value of log39?Ch. 12 - Solve: log2(3x2)+log2x=4Ch. 12 - Solve the system: {x2y+z=153x+y3z=82x+4yz=27Ch. 12 - What is the 33rd term in the sequence 3,1,5,9,...?...Ch. 12 - Graph: y=3sin(2x+)Ch. 12 - Prob. 12CR
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