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Math 1030: Departmental Final Examination Fall 2007, Exams of Mathematics

University of Utah (The U)Mathematics

The final examination for math 1030 held in fall 2007. The exam covers various mathematical concepts including compound interest, measurement conversions, and geometry. Students are required to solve problems related to tiger population, savings plans, loans, and medication half-life, among others.

Typology: Exams

Pre 2010

Uploaded on 08/31/2009

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M1030 Math 1030 Departmental Final Examination Fall 2007
Name: _______________________________
Instructor's Name:_______________________ Section: _________
Instructions: Please note that there are two parts. Part I is worth a total of 30
points. Part II is worth 70 points. Show your work on each question.
The formulas below are provided for your convenience
Savings Plan: A = PMT
€
1+APR
n
(nY )
−1
APR
n
Loan: PMT =
€
P×APR
n
1−1+APR
n
(−nY )
Final Examination Score : ____________
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Download Math 1030: Departmental Final Examination Fall 2007 and more Exams Mathematics in PDF only on Docsity!

M1030 Math 1030 Departmental Final Examination Fall 2007

Name: _______________________________

Instructor's Name:_______________________ Section: _________

Instructions: Please note that there are two parts. Part I is worth a total of 30

points. Part II is worth 70 points. Show your work on each question.

The formulas below are provided for your convenience

Savings Plan: A = PMT

APR

n

( nY )

APR

n

Loan: PMT =

P ×

APR

n

APR

n

^ (− nY^ )

Final Examination Score : ____________

Part I: (30 pts) There are five questions and each question is worth 6 points.

  1. Time magazine (November 16th, 2007):” 1,500– Number of tigers in India's reserves and jungles, which reflects a 40% drop in the past five years. The Indian government says it plans to recruit soldiers to patrol tiger sanctuaries.” How many tigers dud India’s reserves and jungles have 5 years ago. Answer _________
  2. If you deposit $2,100 now and you can get an APR of 2.25% compounded continuously, how much will you have in 30 years? Answer__________
  3. You plan to travel to Nepal and you are practicing how to deal with different measurement systems. Consider the following situation. Suppose, an outdoor market in Nepal offers apples priced at 28 Nepalese Rupees per kilogram. What is the price of these apples in US dollars per pound if 1 US dollar is 71.08 Nepalese Rupees and 1 kilogram is 2.2 pounds. Answer ___________

Part II (70 pts): There are 7 questions and each question is worth 10 points.

  1. A certain medication breaks down in the human body (decreases) at a rate of 12% per hour. a) Find the approximate half-life. Answer ____________ b) How long will it take for this drug (in your bloodstream) to reduce to 15% of the original amount? Answer ____________ c) If the initial dose was 500 mg, how much (in mg) is left in your bloodstream after 2 days? Answer ___________
  1. You plan to buy one of two extra gas tanks shown below to take in your Jeep for off- roads trips. Tank A is a rectangular box with a base of 18 cm by 25 cm and height equal to 30 cm. Tank B is a cylinder with radius 6 inches and height 7.5 inches. a) Determine the volume of each tank using appropriate units. A B Volume of A ______ Volume of B _______ b) Which tank will have the greater volume? Recall: 1 inch = 2.54 cm Answer ___________
  1. A savings account pays an annual percentage rate of 2.5% compounded quarterly. a) Find the annual percentage yield on this account. Answer ___________ b) You decide that you would like to make regular quarterly deposits to this account. Since you would like to have $700,000 when you retire 40 years from now, how much should your quarterly deposits be in order to accomplish your goal? Answer ___________
  1. The doubling time of a state’s population is 24 years. a) If the population was 2,200,000 in 1995, what will the population be in 2028? Answer ___________ b) If the population was 2,200,000 in 1995, how long will it take for this state to reach a population of 3,700,000? Answer ___________
  2. There are 80 cars on a used car lot. Out of those 80 cars, 24 are Ford and 31 are Dodge, and 25 are red cars. There are 8 red Ford, and 10 red Dodge cars. a) Draw a Venn diagram to illustrate this information. Use the symbols F, D, R to represent the set of Ford, Dodge, and red cars respectively. b) Use your diagram to answer the following: How many cars (on this lot) are red, but are not Ford and not Dodge. Answer _______ How many cars (on this lot) are not red, not Ford, and not Dodge. Answer _______