AQR Spring Final Exam Review

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1 Name: Class: Date: AQR Spring Final Exam Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Anchorage, Alaska and Augusta, Georgia have very different average temperatures. This is a table of the average monthly temperature in each city. Make a scatter plot for the temperature data, identify the correlation, and then sketch a line of best fit and find its equation. Average Temperatures (ºF) Jan Feb Ma Apr Ma Jun Jul Aug Sep Oct Nov Dec r y Anchorage Augusta a. Positive correlation y = 0.825x c. Negative correlation y = 0.825x b. Positive correlation y = 0.825x d. Negative correlation y = 0.825x

2 Name: 2. A initial investment of $10,000 grows at 11% per year. What function represents the value of the investment after t years? a. f(t) = 10000(0.11) t c. f(t) = 10000(1.11)t b. f(t) = 10000(12) t d. f(t) = 10000(1.11) t 3. A initial investment of $7, grows at 34% per yea and puts in $100 every year. What is the recursive function represents the value of the investment after t years? a. u n (0.34)+100 where u 0 =7, and n = 0,1,2,3... b. u n (1.34) where u 0 =7, and n = 0,1,2,3... c. u n (7,140.00)+100 where u 0 =1.34 and n = 0,1,2,3... d. u n (1.34)+100 where u 0 =7, and n = 0,1,2, A initial investment of $8, decays at 26% per year. What is the recursive function represents the value of the investment after t years? a. u n (0.26) where u 0 =8, and n = 0,1,2,3... b. u n (0.74) where u 0 =8, and n = 0,1,2,3... c. u n (8,760.00) where u 0 =0.74 and n = 0,1,2,3... d. u n (1.26) where u 0 =8, and n = 0,1,2, Take the explicit function y =15x +29 and change it to a recursive function. a. u n (15) where u 0 =29 & n = 0,1,2,3... c. u n +29 where u 0 =15 & n = 0,1,2,3... b. u n (29) where u 0 =15 & n = 0,1,2,3... d. u n +15 where u 0 =29 & n = 0,1,2,3... Consider the allergy medicine Sneeze-B-Gone. The regular adult dose is 70 milligrams. As with all medicines, the body gradually filters Sneeze-B-Gone out of the bloodstream. The rate at which the medicine is filtered out is called the Flush Rate. For Sneeze-B-Gone, the flush rate is 30%. In other words, 24 hours after the pill is taken, 30% of Sneeze-B-Gone has flushed out of the body. 6. If 30% of Sneeze-B-Gone has flushed out of the body after 24 hours, how much of Sneeze-B-Gone remains if a person takes a 70 mg dose? a. 49 mg c. 91 mg b. 21 mg d. Not enough information 7. What is the level off for this particular dose of medication? a. 100 mg c. 233 mg b. 54 mg d. Not enough information 8. If the Doctor want s the Sneeze-B-Gone to have a level off amount of 480 mg in the bloodstream how much of a dose must be prescribed by the doctor? Remember flush rate is 30%. a. 686 mg c. 1,600 mg b. 369 mg d. Not enough information 2

3 Name: Short Answer 9. Identify Who are the subjects in the study: The variables of interest: Form: Direction: Relative strength of the scatter plot: 3

4 Name: 10. U n = U n 1 (0.84) where U 0 = 60 and n = 0,1,2,3... Is this Exponential Growth or decay and why? 11. U n = U n 1 (1.29) where U 0 = 40 and n = 0,1,2,3... Is this Exponential Growth or decay and why? A research lab is observing the growth of a new strain of MRSA in an agar dish. The initial area occupied by the bacteria is 25 square millimeters. In previous experiments with MRSA, scientists observed the bacteria to increase by 16% each week. 12. Write a recursive rule for the area (a) of the bacteria after n weeks. 13. Take the table and find the Explicit rule and the Recursive rule. x y Suppose you invest $11, at an annual interest rate of 0.92% compounded quarterly. How much will you have in the account after 73 years? 4

5 Name: 15. Suppose you invest $6, at an annual interest rate of 1.11% compounded semiannually. How much will you have in the account after 46 years? 16. I want to have $875, at the end of 70 years at an annual interest rate of % 2.4 compounded daily. How much is my Present Value? Variable Question 1 Question 2 Question 3 Question 4 Question 5 N I% PV PMT FV P/Y C/Y If needed this chart can be used for your Variables. PMT is set to END 17. Harley has a credit card with an APR of 15.26% and a current balance of $12, If Harley s minimum payment is $ then how long will it take her to pay off her credit card debt? (Can be answered in months or years.) 18. Christina is considering buying a new car with a sticker price of $26, Christina considers a different option. The dealership offers 0% down and 0% APR for 3 years. What will the monthly payments be under these conditions? 19. Frank has an offer to lease a car for 6 years at $ per month. The lease has a balloon payment of $1100 at the end of three years. What is the total cost of the lease? 5

6 Name: 20. What does high variability mean? 21. What does high statistical bias mean? 22. What does a low statistical bias mean? 23. What does a low variability mean? 6

7 AQR Spring Final Exam Review Answer Section MULTIPLE CHOICE 1. ANS: A STA: 2A.1.B 2. ANS: D STA: 2A.11.F 3. ANS: D 4. ANS: B 5. ANS: D 6. ANS: A logistic functions. Q9(C) Analyze and determine an appropriate piecewise model. Q9(D) Solve problems using recursion or iteration. 7. ANS: C logistic functions. Q9(C) Analyze and determine an appropriate piecewise model. Q9(D) Solve problems using recursion or iteration. 8. ANS: C logistic functions. Q9(C) Analyze and determine an appropriate piecewise model. Q9(D) Solve problems using recursion or iteration. SHORT ANSWER 9. ANS: Who are the subjects in the study: Men over the age of 40 The variables of interest: Heart disease deaths, Wine consumed Form: Linear Direction: Negative Relative strength of the scatter plot: Weak STA: Q8(A) Determine if there is a linear relationship in a set of bivariate data by finding the correlation coefficient for the data, and interpret the coefficient as a measure of the strength and direction of the linear relationship. 1

8 10. ANS: This is an example of Exponential decay because the rate is less than ANS: This is an example of Exponential growth because the rate is greater than ANS: u n (1.16) where u 1 = 25 and n = 0,1,2, ANS: Exponential y = 10(2) x u n (2) where u 0 = 10 and n = 0,1,2,3... logistic functions. Q9(B) Analyze and determine an appropriate cyclical model that can be modeled with trigonometric functions. Q9(D) Solve problems using recursion or iteration. 14. ANS: $21, STA: Q10(A) Determine, represent, and analyze mathematical models for various types of income calculations. Q10(C) Determine, represent, and analyze mathematical models for various types of loans and investments. 15. ANS: $10, STA: Q10(A) Determine, represent, and analyze mathematical models for various types of income calculations. Q10(C) Determine, represent, and analyze mathematical models for various types of loans and investments. 16. ANS: $163, STA: Q10(A) Determine, represent, and analyze mathematical models for various types of income calculations. Q10(C) Determine, represent, and analyze mathematical models for various types of loans and investments. 17. ANS: Unfortunately this problem must be calculated by hand each time the variable change due to the nature of recursive annuities. 2

9 18. ANS: $ ANS: 37, STA: Q10(A) Determine, represent, and analyze mathematical models for various types of income calculations. Q10(B) Determine, represent, and analyze mathematical models for expenditures, including those involving credit Q10(C) Determine, represent, and analyze mathematical models for various types of loans and investments. 20. ANS: The measured values are very spread out. 21. ANS: The measured values are far from the true value. 22. ANS: The measured values are close to the true value. 23. ANS: Measured values are close to each other. 3

XML Publisher Balance Sheet Vision Operations (USA) Feb-02

XML Publisher Balance Sheet Vision Operations (USA) Feb-02 Page:1 Apr-01 May-01 Jun-01 Jul-01 ASSETS Current Assets Cash and Short Term Investments 15,862,304 51,998,607 9,198,226 Accounts Receivable - Net of Allowance 2,560,786