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##### MATH 133 MATH/133 Unit 5 Individual Project A

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**Question**

Question;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;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 twas 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;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;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.;Answer;Show work in this space

Paper#61037 | Written in 18-Jul-2015

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