07 Jan Solve the Combined

Quiz 1
Math 012 Quiz 1

Professor: Dr. John Uccellini

Instructions:

The quiz is worth 50 points. Your score on the quiz will be converted to a percentage and posted in your Grade book.

This quiz is open book and open notes, and you may take as long as you like on it provided that you submit the quiz no later than the due date posted in our course schedule of the syllabus. You may refer to your textbook, notes, and online classroom materials, but you may not consult anyone or any online resources.

You should show all of your work to receive full credit. If you do not show work, you may earn only partial or no credit.

Please type your work in your copy of the quiz, or if you prefer, create a document containing your work. Scanned work is also acceptable. Be sure to include your name in the document.

If you have any questions, please contact me by e-mail ([email protected]).

Please remember to show ALL of your work on every problem. If there is no work to show, then include a sentence or two explaining your answer.

Here are the basic rules of showing work:

Each step should show the complete expression or equation rather than a piece of it.

Each new step should follow logically from the previous step, following rules of algebra.

Each new step should be beneath the previous step.

The equal sign, =, should only connect equal numbers or expressions.

If you have questions about showing work, please ask.

Name_______________________________ Math 012 Quiz #1 50 Points

Sections 1.3 – 1.5, 1.7, 1.8, 1.10, 10.6

Solve the following equations showing all work to support your answer. (5 points each)

a.

b.

c. x/2-1=2/3 x-3

d. 10x-2(x+4)=8(x-2)+8

e. S=2?rh-2?r^(2 ),solve for h

f. 0.25y+0.10(y-3)=1.1

Instructions for # 2 and #3. Please include the following in your work on each word problem:

a) A statement defining any unknown quantities in the problem in terms of variables.

b) An equation involving the variable(s) corresponding to the information given in the problem.

c) A complete solution to the equation, showing all work.

d) A complete answer to the question asked, including appropriate units.

The perimeter of a triangle measures 82 feet. All three sides are of different lengths. The longest side is 12 feet less than three times the length of the smallest side. The middle length side is 26 feet. Find the length of the smallest and longest side. Show all work to support your answer. (5 points)

Two brothers decide to invest in a business venture. Their initial investment is $100,000. The younger brother invested $43,000 less than the older brother. What were their respective investments? Show all your work to support your answer. (5 points)

The Combined Gas Law from chemistry states that ratio between product of the pressure, P, and the volume, V, and the quotient of the temperature, T, for any gas remains constant. The formula is given by: where k is a constant.

Solve the Combined Gas Law for the volume, V. Show your work. (3 pts.)

If the constant k is 10.13, the pressure 8 litres and the temperature 300 degrees Kelvin, find the volume of the gas? Round your answer to three decimal places. (2 pts)

The formula for compound interest is given by the formula:

Where P is the initial investment, r is the rate of interest expressed as a decimal, t is the time of the investment is years, n is the number of compounding periods in one year and A is the amount of the investment after t years.

Which investment will have the highest yield,

a. $1000 invested at 3% interest compounded semiannually for 10 years or

b. $1000 invested at 2% interest compounded monthly for 10 years? Show work to support your answer. Round your answer to two decimal places. (5 pts)