Unit 5 Individual Project

90

MATH133-1302A-01 College Algebra
Assignment Name: Unit 5 Individual Project
Deliverable Length: 1 pages
Details:

Instructions:

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Course Materials

Points Possible:
Date Due: Sunday, Jun 02, 2013
Objective: Apply principles of analytic geometry.Graph functions such as linear, quadratic, radical, rational, exponential and logarithmic.
Submitted Files: Submit Assignment
Score: N/A
Instructor Comments: No comments have been made

NAME :

MATH133 Unit 5 Individual Project – A

1) Describe the transformations on the following graph of )log()( xxf  . State the

placement of the vertical asymptote and x-intercept after the transformation. For

example, vertical shift up 2 or reflected about the x-axis are descriptions.

a) g(x) = log(x – 5)

Description of transformation:

Equation(s) for the Vertical Asymptote(s):

x-intercept in (x, y) form:

b) 2)log()(  xxg

Description of transformation:

Equation(s) for the Vertical Asymptote(s):

x-intercept in (x, y) form:

X

Y

-1

0

-9 -8 -7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9

10

-10

9

8

7

6

5

4

3

2

1

1
2
3
4
5
6
7
8
9
10
0

2) Students in an English class took a final exam. They took equivalent forms of the
exam at monthly intervals thereafter. The average score S(t), in percent, after t months
was found to be given by

S(t) = 68 − 20 log (t + 1), t ≥ 0.

a) What was the average score when they initially took the test, t = 0?

Answer:

Show your work in this space:

b) What was the average score after 14 months?

Answer:

Show your work in this space:

c) After what time t was the average score 40%?
Answer:

Show your work in this space:

3) The formula for calculating the amount of money returned for an initial deposit
into a bank account or CD (certificate of deposit) is given by

nt

n

r
PA 




 1

A is the amount of the return.
P is the principal amount initially deposited.
r is the annual interest rate (expressed as a decimal).
n is the number of compound periods in one year.
t is the number of years.

Carry all calculations to six decimals on each intermediate step, then round the final
answer to the nearest cent.

Suppose you deposit $3,000 for 6 years at a rate of 7%.

a) Calculate the return (A) if the bank compounds semi-annually. Round your
answer to the nearest cent.

Answer:

Show work in this space. Use ^ to indicate the power or use the Equation

Editor in MS Word.

b) Calculate the return (A) if the bank compounds monthly. Round your answer to
the nearest cent.

Answer:

Show work in this space:

c) If a bank compounds continuously, then the formula used is
rt

PeA 
where e is a constant and equals approximately 2.7183.
Calculate A with continuous compounding. Round your answer to the nearest cent.

Answer:

Show work in this space:

Student Answer and Work Form Unit 5 Ver. A

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1a. Answer: _______________

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1b. Answer: _______________

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2.a. Answer: _______________

2a. Key work steps

2b. Answer: _______________

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2c. Answer: _______________

2c. Key work steps

3a. Answer: _______________

3a. Key work steps

3b. Answer: _______________

3b. Key work steps

3c. Answer: _______________

3c. Key work steps

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