College Algebra
Answer/Discussion to
Practice
Test
| Problems 1a - 1b: Graph the following functions. |
1a. 
Answer:
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x
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(x, y)
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-2
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(-2, .03)
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-1
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(-1, .17)
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0
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(0, 1)
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1
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(1, 6)
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2
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(2, 36)
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1b. 
Answer:
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x
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(x, y)
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-2
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(-2, -36)
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-1
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(-1, -6)
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0
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(0, -1)
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1
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(1, -.17)
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2
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(2, -.03)
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Problem 2a: Find the 1) compound amount
AND 2) the compound interest for the given investment and rate.
|
2a. $25000 for 21 years at an annual rate of 3.25%
compounded quarterly.
Answer:
P = 25000
r = 3.25% = .0325
t = 21
n = quarterly = 4 times
a year

Compound Amount: $49334.23
Compound Interest: $24334.23
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| Problem 3a: Find the accumulated value for the given
investment and rate. |
3a. $4525 that is compounded continuously for 12 years
at an interest rate of 9 ½ %.
Answer:
P = 4525
r = 9.5% = .095
t = 12

So the accumulated or compound AMOUNT would be
$14148.63.
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| Problems 4a - 4b: Express the given logarithmic
equation exponentially. |
Problems 5a - 5b: Express the given
exponential equation in a logarithmic form.
|
| Problems 6a - 6b: Evaluate the given log
function without using a calculator. |
| Problems 7a - 7b: Graph the following functions. |
7a. 
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7b. 
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| Problems 8a - 8b: Evaluate the given
expression without the use of a calculator. |
| Problems 9a - 9b: Expand each logarithmic
expression as much as possible. Evaluate without a calculator
where possible. |
| Problems
10a - 10b: Condense each logarithmic expression into one
logarithmic
expression. Evaluate without a calculator where possible. |
| Problems 11a - 11c: Solve the
given exponential equation. Round your answer to two decimal
places. |
| Problems 12a - 12b: Solve the
logarithmic equation. Round your answer to two decimal places. |
12b. 
Answer:

x = 2 is the only solution.
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All contents copyright (C) 2002 - 2008, WTAMU and Kim Seward. All rights reserved.
Last revised on March 23, 2004 by Kim Seward. |