FINAL EXAMINATION
 TIME: 3 hours 
FORMULAS:
QUESTION  1  2  3  4  5  6  7  8  9  10  11  12  13  14  15 

ANSWER                
(A) 4x + 3y  2 = 0
(A) 3,000 units
(A) $2,938.40
(A) 12.55%
(A) $1,477.45
(A) 2
(A) None
(A) (1,1/3)
(A) 16000
(A) 672
(A) 0.74
(A) 11!
(A) 8
(A) 0.082
then the probability is
(A) 3/10
(a)  What are the monthly payments? 
(b)  What is the total interest payment? 
(c)  What is the present value of the remaining payments after 20 years? 
(a)  Use the Gauss elimination or GaussJordan method to find, if
any, all the solutions of the system:

(b)  Write the system of equations
find the solution of the equations by matrix multiplication. 
75  cars with air conditioning 
95  cars with power steering 
100  cars with automatic transmission 
20  cars with all three options 
10  cars with none of these options 
10  cars with only air conditioning 
50  cars with both automatic transmission and power steering 
60  cars with both automatic transmission and air conditioning. 
(a)  How many cars were sold in June? 
(b)  How many cars had only power steering? 
(a)  Machines I, II, III in a factory produce 55%, 30% and 15% of total production, respectively. The percentage of defective output of these machines is 1%, 2% and 3%, respectively. An item is chosen at random and it is defective. What is the probability that it came from I? 
(b)  In the rolling of a pair of fair dice, determine the probability that either the sum of the numbers rolled is odd or two equal numbers are rolled. 