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MATH 133 MATH/133 Unit 5 Individual Project A

Question # 00007565
Subject: 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?

Answer:

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b) What was the average score after 14 months?

Answer:

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

Answer:

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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.

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:

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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.

Answer:

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Tags project individual unit math133 math work average round nearest vertical score bank compounds took logx centanswershow monthly youranswer final exam answer rate deposit number formula initially given return asymptotesxintercept space transformationequationsfor periods approximately compound yeartisthe

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MATH 133 Unit 5 Individual Project A

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Preview: Equation x EMBED xxxxxxxx 3 EMBED xxxxxxxx 3 3000(1 xxxxxxx 4533 xx xx the xxxx compounds semi-annually, xxxxxx A will xx 4533 xx xx Answer xxxx 21 _______________ xx Key work xxxxx A xxxxx xxxxxxxx 3 xxxxx Equation 3 xxxxx Equation 3 xxxxx Equation x xxxxxx 520069) xxxx 21 If xxx bank compounds xxxxxxxx return x xxxx be xxxx 21 3c xxxxxx 4565 88 xxxxxxxxxxxxxxx 3c xxx xxxx steps x 3000, t x years,.....
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