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Solutions Manual for College Algebra, 8th Edition by James Stewart CA$42.83   Add to cart
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Solutions Manual for College Algebra, 8th Edition by James Stewart
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  • College Algebra
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  • College Algebra

Complete Solutions Manual for College Algebra, 8th Edition 8e by James Stewart, Lothar Redlin, Saleem Watson. Full Chapters Solutions are included - Chapter 1 to 9 P. PREREQUISITES. Chapter Overview P.1 Modeling the Real-World with Algebra. P.2 The Real Numbers. P.3 Integer Exponents and Scie...

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  • September 9, 2023
  • 725
  • 2023/2024
  • Exam (elaborations)
  • Questions & answers

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  • college
  • algebra
  • 8th
  • edition
  • james
  • stewart
  • solutions
  • manual
  • answer guide
  • 9780357753651
  • 8e

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  • College Algebra
  • College Algebra

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Solutions College Algebra, 8th Edition by James Stewart

PROLOGUE: Principles of Problem Solving

distance 1 1
1. Let r be the rate of the descent. We use the formula time  ; the ascent takes h, the descent takes h, and the
rate 15 r
2 1 1 1 1 1
total trip should take  h. Thus we have     0, which is impossible. So the car cannot go
30 15 15 r 15 r
fast enough to average 30 mi/h for the 2­mile trip.

2. Let us start with a given price P. After a discount of 40%, the price decreases to 06P. After a discount of 20%, the price
decreases to 08P, and after another 20% discount, it becomes 08 08P  064P. Since 06P  064P, a 40% discount
is better.

3. We continue the pattern. Three parallel cuts produce 10 pieces. Thus, each new cut produces an additional 3 pieces. Since
the first cut produces 4 pieces, we get the formula f n  4  3 n  1, n  1. Since f 142  4  3 141  427, we
see that 142 parallel cuts produce 427 pieces.

4. By placing two amoebas into the vessel, we skip the first simple division which took 3 minutes. Thus when we place two
amoebas into the vessel, it will take 60  3  57 minutes for the vessel to be full of amoebas.

5. The statement is false. Here is one particular counterexample:
Player A Player B
First half 1
1 hit in 99 at­bats: average  99 0 hit in 1 at­bat: average  01
Second half 1 hit in 1 at­bat: average  11 98 hits in 99 at­bats: average  98
99
Entire season 2
2 hits in 100 at­bats: average  100 99
99 hits in 100 at­bats: average  100

6. Method 1: After the exchanges, the volume of liquid in the pitcher and in the cup is the same as it was to begin with. Thus,
any coffee in the pitcher of cream must be replacing an equal amount of cream that has ended up in the coffee cup.
Method 2: Alternatively, look at the drawing of the spoonful of coffee and cream cream
mixture being returned to the pitcher of cream. Suppose it is possible to separate
the cream and the coffee, as shown. Then you can see that the coffee going into the coffee

cream occupies the same volume as the cream that was left in the coffee.


Method 3 (an algebraic approach): Suppose the cup of coffee has y spoonfuls of coffee. When one spoonful of cream
cream 1 coffee y
is added to the coffee cup, the resulting mixture has the following ratios:  and  .
mixture y1 mixture y1
1
So, when we remove a spoonful of the mixture and put it into the pitcher of cream, we are really removing of a
y1
y
spoonful of cream and spoonful of coffee. Thus the amount of cream left in the mixture (cream in the coffee) is
y 1
1 y
1  of a spoonful. This is the same as the amount of coffee we added to the cream.
y 1 y1

7. Let r be the radius of the earth in feet. Then the circumference (length of the ribbon) is 2r. When we increase the radius
by 1 foot, the new radius is r  1, so the new circumference is 2 r  1. Thus you need 2 r  1  2r  2 extra
feet of ribbon.
1

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