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Class Ib: Name: o\u\-oy’S
MATH 1090-001
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Midterm 3.V2
Spring 2013
Instructor: Katrina Johnson o o o o o o o o o
SCIENTIFIC calculators are allowed on this
Graphing,, cell phone, and programmable calculators are NOT allowed.
You
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.
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.
7
8
5
6
3
4
1
2
Score
/15
/16
/6
/22
/6
/7
/10
/18

1. Given log
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4) a) What is the domain of f(x)? Write your answer in interval notation.
(4-4 ‘o b) What is the x-intercept of f(x)? Leave your answer in exact form. Write your answer as a point.
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_5o 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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4(c s.o(o#’) 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: 4, 2, 1, 1/2, 1/4, lound your answer to the nearest thousandth (3 decimal places).
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6. Circle the better investment deal:
Plan A Plan B
Plan A: An account earning 8.25% compounded monthly.
Plan B: An account earning 8.5% compounded annually.
Plan C: An account earning 8.6% compounded quarterly.
Re sure to show the work that supports your answer.
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7. How much will need to be invested at the end of each quarter at 8% interest, compounded quarterly, to pay off a debt of $30,000 in 6 years?
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30,000
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8. When Eric graduated from college he received $1000 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 $300 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 $1000?
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\ooc (\o’W) n4_ b) When Eric retires 42 years after opening the account, how much of the total account value comes from the regular deposits of $300 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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