Information for questions 9-16 Demand and supply are given by the two equations: QD = 100 – 20 P and QS = 80 P, respectively. Here, QD is quantity demanded, QS is quantity supplied, and P is the price. Suggestion: draw a neat figure with these two curves, and make the figure roughly on scale. Use the figure just to keep track of the numbers that you calculate, don’t read any answers off the figure. Only the exact answer is accepted, so make sure to doublecheck your calculations. Enter 0 if the answer cannot be determined from the information given.  Calculate the demand choke price.

13 (6 pts). Open the following graph: graph13.docx (a) What is the area of the Triangle as a percentage of the Octagon? (b) What is the area of the Rectangle as a percentage of the Octagon?   14 (6 pts). A person deposits $2000 in a bank account. If the bank pays the rate of 6.5% interest compounded annually, how much will the account be worth after 6 years?   15 (8 pts). Let x be the age of Bernie. Form algebraic expressions for the following: (a) Bernie’s age in six years. (b) Bernie’s age four years ago. (c) The age of Bernie’s little brother, who is half of Bernie’s age. (d) The age of Bernie’s father, who is three times of Bernie’s age.

There are only 3 consumers in a market, Angel, Berry, and Cameron. Their demands for a certain good are given by QA=100–2P, QB=200–4P, and QC=50–P, respectively. Enter the equation for the market demand in the blank below. To be graded correctly, your answer must be exactly in the format “Q=M-NP”, where M and N are whole numbers for you to calculate and enter in place of M and N. Note that there are no spaces, and Q and P are in capitals. So, for example, answer “Q=26-4P” would be accepted (if the numbers 26 and 4 were the correct ones), but answers “Q = 26 – 4P” would not be accepted (it has spaces), nor would answer “q=26-4p” (did not capitalize q and p).

4 (6 pts). Suppose a person is paid $75 after working 6 hours for a job. (a) How much will the person earn for 11 hours? (b) How many hours are needed for the person to earn $400?   5 (6 pts). Determine which one is cheaper: A 18-ounce bottle of orange juice at $3.59 or a 14-ounce bottle at $2.95.   6 (6 pts). Suppose a car uses 5.4 gallons of gas travelling 150 miles. At the same rate, how many gallons would it use on a trip of 200 miles.

Problem #5 (7.5 Points) Given the moment at point O is -4000 lb-in. and the force at point B is provided, determine the distance d and the distance OB.       Distance d = _________________________in.   Distance OB = ________________________in.

Area (A) = _________________________in2.    

Problem 6 – Moment (7.5 Points) Given the force applied at A and the distance of OA is given, determine the moment at point O, and the distance d.    Moment at Point O = ________________________ lb-in.   Distance d = _________________________in.

Write the equation of a sine function that has the given characteristics: Amplitude: 3 Period:    

a) Find the amplitude and period of the function

Match the fungi with its characteristic form: