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01/01/2018
Math 133 Unit 5 Individual Project 2a
MATH133 Unit 5 Individual Project – A
1) Solve:
a. e^(0.05t) = 1600
b. ln(4x) =3
c. log2(8 – 6x) = 5
d. 4 + 5e^-x = 0
2) 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 2 or reflected about the x-axis are descriptions.
see attached file
a) g(x) = log( x + 5)
b) g(x) = log(-x)
3. 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?
Round your answer to a whole percent, if necessary.
b) What was the average score after 4 months? after 24 months?
Round your answers to two decimal places.
c) After what time t was the average score 50%?
Round your answers to two decimal places.
4) 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 $2,000 for 5 years at a rate of 8%.
a) Calculate the return (A) if the bank compounds annually (n = 1). Round your answer to the nearest cent.
b) Calculate the return (A) if the bank compounds quarterly (n = 4). Round your answer to the nearest cent.
c) If a bank compounds continuously, then the formula used is A = Pe^(rt) where e is a constant and equals approximately 2.7183.
Calculate A with continuous compounding. Round your answer to the nearest cent.
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Topic
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MATH133, MATH133_U5IP2a
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Subjects
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Topic
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Level
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College/ University
Tags
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American InterContinental University, AIU, MATH133, MATH133_U5IP2b
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