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
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Write My Essay For Mea) 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:
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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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