Class Ib:
Name:
MATH 1090-001
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Spring 2013
Midterm 3.V1
Instructor: Katrina Johnson
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SCIENTIFIC calculators are allowed on this exam. Graphing, cell phone, and
programmable calculators are NOT allowed.
You may use a 4x6 index card with handwritten notes on both sides. It must be a 4x6
index card and not something that closely resembles a 4x6 index card.
SHOW ALL WORK. No points will be given for answers without justification.
Scratch paper will be provided. Scratch work will not be graded, record all work that
is part of your solution on this exam.
Make sure your work is organized and legible.
Use a PENCIL, erase errors.
NO CLASS NOTES, CELL PHONES, NEIGHBORS, ETC. allowed during the exam.
Answers should be in simplified.
Box or Circle your final answers.
Prob.
1
2
3
4
5
6
7
8
Total
Score
/15
/16
/6
/22
/6
/7
/10
/18
/100
1. Given f(x) = log
(x + 2)
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a) What is the domain of f(x)? Write your answer in interval notation.
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b) What is the x-intercept of f(x)’ Leave your answer in exact form. Write your answer as
a point.
c) What is the y-intercept of f(x)? Leave your answer in exact form. Write your answer as
a point.
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d) What is the vertical asymptote of f(x)? Your answer should be the equation of a line.
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5. Find the sum of the first 12 terms of the sequence; 8, 4, 2, 1, 1/2, 1/4,
tound your answer to the nearest thousandth (3 decimal places).
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6. Circle the better investment deal:
Plan B
Plan C
Plan A; An account earning 8.6% compounded quarterly.
Plan B; An account earning 8.5% compounded annually.
Plan C: An account earning 8.25% compounded monthly.
Be sure to show the work that supports your answer.
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8. When Eric graduated from college he received $1500 from his grandparents. Eric
invested this money in an account with 8.2% interest compounded semiannually (twice per
year). At the end of every six months he deposits an additional $250 to this account for
the next 42 years until he retires.
a) When Eric retires 42 years after opening the account, how much of the total account
value comes from the initial investment of $1500?
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b) When Eric retires 42 years after opening the account, how much of the total account
value comes from the regular deposits of $250 made every 6 months?
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c) What is the total value of Eric’s account when he retires?
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