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#### All Subjects Mathematics General Mathematics MATH 133 MATH/133 Unit 5 Individual Project A

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# MATH 133 MATH/133 Unit 5 Individual Project A

Question # 00007565
Subject: Mathematics
Topic: General Mathematics
Due on: 03/31/2014
Posted On: 01/31/2014 12:23 PM

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1) Describe the transformations on the following graph of f(x) = log(x) . State the placement of the vertical asymptote and x-intercept after the transformation. For example, vertical shift up 2or reflected about the x-axisare descriptions. )

Graph

a) g(x) = log(x - 5)

Description of transformation:

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

x-intercept in (x, y) form:

b) g(x) = -log(x) + 2

Description of transformation:

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

x-intercept in (x, y) form:

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 tmonths 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?

Show your work in this space:

b) What was the average score after 14 months?

Show your work in this space:

c) After what time twas the average score 40%?

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

A = P(1 + r/n)^nt

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.

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.

Show work in this space:

c) If a bank compounds continuously, then the formula used is where eis a constant and equals approximately 2.7183. Calculate Awith continuous compounding. Round your answer to the nearest cent.

Show work in this space:

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#### MATH 133 Unit 5 Individual Project A

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Posted On: 01/31/2014 12:25 PM
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