# Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. Find all solutions whenever they exist.

MA 170 Final Exam Answers

Points Awarded 100.00

Points Missed 0.00

Percentage 100%

Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. Find all solutions whenever they exist.

A)

one and only one solution

B)

one and only one solution

C)

one and only one solution

D)

infinitely many solutions

E) no solution

Points Earned: 4.0/4.0

Solve the linear system of equations

A)

Unique solution:

B)

Unique solution:

C)

Infinitely many solutions:

D) No solution

Points Earned: 4.0/4.0

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.

Points Earned: 4.0/4.0

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.

Points Earned: 4.0/4.0

Solve the system of linear equations using the Gauss-Jordan elimination method.

A)

B)

C)

D)

E)

Points Earned: 4.0/4.0

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).

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

Points Earned: 4.0/4.0

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

Points Earned: 4.0/4.0

Let .

Are the events F and G mutually exclusive?

A) yes

B) no

Points Earned: 4.0/4.0

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

Points Earned: 4.0/4.0

Find the pivot element to be used in the next iteration of the simplex method.

A)

B)

C)

D)

E)

Points Earned: 4.0/4.0

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

Points Earned: 4.0/4.0

Use Venn diagrams to illustrate the statement.

A)

B)

C)

D)

E)

Points Earned: 4.0/4.0

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

Points Earned: 4.0/4.0

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

Points Earned: 4.0/4.0

Maximize

P= 10x + 12y

subject to

A)

B)

C)

D)

E)

Points Earned: 4.0/4.0

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

Points Earned: 4.0/4.0

Solve the linear programming problem by the simplex method.

A)

B)

C)

D)

E) x = 0; y = 4; u = 0; v = 2; P = 16

Points Earned: 4.0/4.0

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)

y = x +

B)

y = x –

C)

y = -x –

D)

y = -x +

E) y is not a linear function of x.

Points Earned: 4.0/4.0

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)

Points Earned: 4.0/4.0

Correct Answer(s):

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

Points Earned: 4.0/4.0

Correct Answer(s):

Indicate whether the matrix is in row-reduced form.

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

B) The matrix is in row-reduced form.

Points Earned: 4.0/4.0

Correct Answer(s):

Check that the given simplex tableau is in final form. Find the solution to the associated regular linear programming problem.

A)

B)

C)

D)

Points Earned: 4.0/4.0

Correct Answer(s):

Write the following set in builder notation form

A)

B)

C)

D)

E)

Points Earned: 4.0/4.0

Correct Answer(s):

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

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)

Points Earned: 4.0/4.0

Correct Answer(s):

Write the equation in the slope-intercept form and then find the slope and y-intercept of the corresponding line.

A)

B)

C)

D)

Points Earned: 4.0/4.0

Correct Answer(s):

WEEK 8 REVIEW SCREENSHOTS

Continuation

6) 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).