Finite Mathmatics

Question 1

Find the present value of $40,000 due in 4 years at the given rate of interest 8%/year compounded monthly.

	A.	The present value is $28,948.67.
	B.	The present value is $29,433.94.
	C.	The present value is $29,076.82.
	D.	The present value is $29,748.06.

Question 2

A system composed of two linear equations must have at least one solution if the straight lines represented by these equations are nonparallel.

	A.	false
	B.	true

Question 3

What is the probability of arriving at a traffic light when it is red if the red signal is flashed for 30 sec, the yellow signal for 5 sec, and the green signal for 40 sec?

	A.	The probability is 0.35
	B.	The probability is 0.40
	C.	The probability is 0.50
	D.	The probability is 0.45

Question 4

	A.
	B.
	C.
	D.
	E.

Question 5

	A.
	B.
	C.
	D.
	E.	x = 0; y = 4; u = 0; v = 2; P = 16

Question 6

	A.	yes
	B.	no

Question 7

Determine whether the equation defines y as a linear function of x. If so, write it in the form y = mx + b. 8x = 5y + 9

	A.
	B.
	C.
	D.
	E.	y is not a linear function of x.

Question 8

	A.
	B.
	C.
	D.
	E.

Question 9

If the line passing through the points (2, a) and (5, - 3) is parallel to the line passing through the points (4, 8) and (- 5, a + 1) , what is the value of a?

	A.	a = -8
	B.	a = 4
	C.	a = -4
	D.	a = 8

Question 10

	A.
	B.
	C.
	D.
	E.

Question 11

	A.
	B.
	C.
	D.	No solution Question 12 An experiment consists of tossing a coin, rolling a die, and observing the outcomes. Describe the event “A head is tossed and an odd number is rolled.” A. B. C. D.

Question 13

If a merchant deposits $1,500 annually at the end of each tax year in an IRA account paying interest at the rate of 10%/year compounded annually, how much will she have in her account at the end of 25 years? Round your answer to two decimal places.

	A.	$16,252.06
	B.	$147,520.59
	C.	$5,250.00
	D.	$34,663.65

Question 14

Find the interest rate needed for an investment of $4,000 to grow to an amount of $5,000 in 4 yr if interest is compounded continuously. Please round the answer to the nearest hundredth of percent.

	A.	5.58 %/yr
	B.	5.70 %/yr
	C.	6.63 %/yr
	D.	5.01 %/yr
	E.	5.92 %/yr

Question 15

	A.	The matrix is not in row-reduced form.
	B.	The matrix is in row-reduced form.

Question 16

Metro Department Store's annual sales (in millions of dollars) during 5 years were

Annual Sales, y	5.8	6.1	7.2	8.3	9
Year, x	1	2	3	4	5

Plot the annual sales (y) versus the year (x) and draw a straight line L through the points corresponding to the first and fifth years and derive an equation of the line L.

	A.
	B.
	C.

Question 17

	A.
	B.
	C.
	D.

Question 18

	A.
	B.
	C.
	D.

Question 19

In a poll conducted among 180 active investors, it was found that 100 use discount brokers, 122 use full-service brokers, and 54 use both discount and full-service brokers. How many investors use only discount brokers?

	A.	68
	B.	58
	C.	46
	D.	36
	E.	56

Question 20

	A.
	B.
	C.
	D.
	E.

Question 21

A survey of 900 subscribers to the Los Angeles Times revealed that 700 people subscribe to the daily morning edition and 400 subscribe to both the daily and the Sunday editions.How many subscribe to the Sunday edition?

	A.	500 people
	B.	700 people
	C.	600 people
	D.	300 people
	E.	900 people
	F.	100 people

Question 22

	A.
	B.
	C.
	D.	infinitely many solutions
	E. no solution

Question 23

Find the simple interest on a $400 investment made for 5 years at an interest rate of 7%/year. What is the accumulated amount?

	A.	The simple interest is $140, the accumulated amount is $540.
	B.	The simple interest is $115, the accumulated amount is $515.
	C.	The simple interest is $120, the accumulated amount is $520.
	D.	The simple interest is $125, the accumulated amount is $555.

Question 24

	A.
	B.
	C.
	D.
	E.

Question 25

The following breakdown of a total of 18,686 transportation fatalities that occured in 2007 was obtained from records compiled by the U.S. Department of Transportation (DOT).

Mode of Transportation	Car	Train	Bicycle	Plane
Number of Fatalities	16,525	842	698	538

What is the probability that a victim randomly selected from this list of transportation fatalities for 2007 died in a train or a plane accident? Round answer to two decimal places.

	A.	0.05
	B.	0.11
	C.	0.07
	D.	0.08