FInite Math Mid

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QUESTION 1


Find the simple interest on a $500 investment made for 2 years at an interest rate of 7%/year. What is the accumulated amount?​

a.The simple interest is $70,the accumulated amount is $570.

b.The simple interest is $90,the accumulated amount is $590.

c.The simple interest is $45,the accumulated amount is $545.

d.The simple interest is $55,the accumulated amount is $585.

1 points   

QUESTION 2


Find the slope of the line that passes through the pair of points.

and
a.b.c.d.e.

1 points   

QUESTION 3

In how many different ways can a panel of 12 jurors and 2 alternate jurors be chosen from a group of 27 prospective jurors?​a.1,825,304,100

b.1,825,304,800

c.1,825,305,300

d.1,825,305,500

e.1,825,305,200

1 points   

QUESTION 4


Consider the supply equation , where x is the quantity supplied in units of 1,000 and p is the unit price in dollars. Determine the number of units of the commodity the supplier will make available in the market at the given unit price .

a.4,300

b.4,000

c.3,400

d.3,100

e.3,700

1 points   

QUESTION 5

If Jackson deposited $800 at the end of each month in the saving account earing interest at the rate of 3%/year compounded monthly, how much will he have on deposite in his savings account at the end of 3 years, assuming that he makes no withdrawals during that period? Round your answers to two decimal places.

​a.$30,023.08

b.$30,096.45

c.$30,074.52

d.$29,996.22

e.$30,071.45

1 points   

QUESTION 6

Entomologists have discovered that a linear relationship exists between the number of chirps of crickets of a certain species and the air temperature. When the temperature is , the crickets chirp at the rate of , and when the temperature is , they chirp at the rate of . Find N as a function of T and use this formula to determine the rate at which the crickets chirp when the temperature is .
a.

b.

c.

d.

1 points   

QUESTION 7

The demand equation for a certain brand of fax machine is 3 x + p - 1,400 = 0, where x is the quantity demanded per week and p is the unit price in dollars.

The supply equation is 2 x - 3 p + 900 = 0, where x is the quantity the supplier will make available in the market when the unit price is p dollars. Find the equilibrium quantity and the equilibrium price for the fax machines.
 

a.equilibrium quantity 190 units; equilibrium price $500

b.equilibrium quantity 300 units; equilibrium price $650

c.equilibrium quantity 190 units; equilibrium price $650

d.equilibrium quantity 300 units; equilibrium price $500

1 points   

QUESTION 8

Find an equation of the circle that satisfies the given conditions.

Radius 9 and center ( 1, 8)
 

a.

b.

c.

d.

e.

1 points   

QUESTION 9

Find the smallest possible set (that is, the set with the least number of elements) that contains the given sets as subsets.​

​a.

b.

c.

d.

1 points   

QUESTION 10

To gain access to his account, a customer using an automatic machine (ATM) must enter a six-digit code. If repetition of same six digit is not allowed (for example, 555555), how many possible combinations are there?

a.59,039

b.999,990

c.99,990

d.1,200e.720

1 points   

QUESTION 11

Find the accumulated amount A if the principal, P = $ is invested at the interest rate r = %/year for t = years compounded semiannually. Round your answers to two decimal places.

​a.The accumulated amount is $ .

b.The accumulated amount is $ .

c.The accumulated amount is $ .

d.The accumulated amount is $ .

e.The accumulated amount is $ .

1 points   

QUESTION 12

  1. Let and . Find the set .​a.b.c.d.

1 points   

QUESTION 13

Find an equation of the vertical line that passes through .

a.

b.

c.

d.

1 points   

QUESTION 14

Determine whether the lines through the given pairs of points are parallel.

A (2, - 2), B (- 3, -  17) and C (1, 3), D (- 1, 6)
 

a.The lines through the given pairs of points are .

b.The lines through the given pairs of points are .

1 points   

QUESTION 15

Sketch a set of coordinate axes and plot the given point.
(7, -10)


a.
b.
c.
d.
e.

1 points   

QUESTION 16

  1. Refer to the accompanying figure and find the points that belong to the set.​



    ​a.r
  2. b.s, t
  3. c.x, y
  4. d.v
  5. e.

1 points   

QUESTION 17

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

Annual Sales, y5.86.27.28.59Year, x12345Plot 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.

1 points   

QUESTION 18

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

2 x + 3 y = 18
a.

b.

c.

d.y is not a linear function of x.

1 points   

QUESTION 19

Sketch a set of coordinate axes and plot the given point.


a.

b.c.d.

1 points   

QUESTION 20

Shade the portion of the accompanying figure that represents the set.​

​a.b.c.d.e.

1 points   

QUESTION 21

Determine whether the statement is true or false.​
Susan's salary increased from $65,000/year to $75,000/year over a 6-year period. Therefore, Susan got annual increases of 6% over that period.

​a.True. This follows from formula A = P(1 + rt).

b.False. If Susan had gotten annual increases of 6 percent over 6 years, her salary would have been , or approximately $92,203.74 after 6 years, not $75,000.​

1 points   

QUESTION 22

Refer to the accompanying figure and determine the coordinates of the given point and the quadrant in which it is located.


a.(3, 7); Quadrant I

b.(- 3, - 7); Quadrant IV

c.(- 3, 7); Quadrant II

d.(- 3, - 7); Quadrant III

1 points   

QUESTION 23

How many different batting orders can be formed for a five-member baseball team?​

a.

b.

c.

d.

1 points   

QUESTION 24

Mitchell has been given the option of either paying his $100 bill now or settling it for $105 after 2 mo. If he chooses to pay after 2 mo, find the simple interest rate at which he would be charged.

a.The simple interest rate is 0.31%/year.

b.The simple interest rate is 30%/year.

c.The simple interest rate is 31%/year.

d.The simple interest rate is 5%/year.

1 points   

QUESTION 25

Lauren plans to deposit $8,000 into a bank account at the beginning of next month and $200/month into the same account at the end of that month and at the end of each subsequent month for the next 5 yr. If her bank pays interest at the rate of 6%/year compounded monthly, how much will Lauren have in her account at the end of the 5 yr? (Assume she makes no withdrawals during the 5-yr period.) Please round the answer to the nearest cent.​


a.$24,071.38

b.$10,598.26

c.$30,173.98

d.$33,702.71

e.$24,744.81

1 points   

QUESTION 26

In a survey of members of a local sports club, members indicated that they plan to attend the next Summer Olympic Games, indicated that they plan to attend the next Winter Olympic Games, and indicated that they plan to attend both games. How many members of the club plan to attend at least one of the two game?​

a.

b.

c.

d.

e.

1 points   

QUESTION 27

Sketch a set of coordinate axes and plot the given point.

(4, 2)
a.b.c.d.

1 points   

QUESTION 28

A quorum (minimum) of 3 voting members is required at all meetings of some association. If there is a total of 9 voting members in the group, find the number of ways this quorum can be formed.​


a.72

b.77

c.84

d.69

e.81

1 points   

QUESTION 29

Data released by the Department of Education regarding the rate (percentage) of ninth-grade students that don't graduate showed that out of 50 states,​
11 states had an increase in the dropout rate during the past 2 years.

13 states had a dropout rate of at least 30% during the past 2 years.

21 states had an increase in the dropout rate and/or a dropout rate of at least 30% during the past 2 years.

How many states had a dropout rate that was less than 30% but that had increased over the 2-year period?

​a.14

b.3

c.16

d.8

e.10

1 points   

QUESTION 30

In how many ways can a member of a hiring committee select 7 of 14 job applicants for further consideration?​

a.

b.

c.

d.

1 points   

QUESTION 31

Sketch a set of coordinate axes and plot the given point.

(1.5, -1.5)
a.b.c.d.

1 points   

QUESTION 32

Use venn daigram to illustrate the statement.
​a.​b.c.​d.e.​

1 points   

QUESTION 33

Refer to the following diagram where U is the set of all tourists surveyed over a 1-week period in London and​





Express regions 2, 5, 6, and 8 together in set notation and in words.

a.; The set of tourists who have not taken a cab over a 1-wk period in London.

b.; The set of tourists who have not taken the underground over a 1-wk period in London

c.; The set of tourists who have not taken a bus over a 1-wk period in London

d.; The set of tourists who have not taken a cab over a 1-wk period in London

e.; The set of tourists who have not taken the underground over a 1-wk period in London.

1 points   

QUESTION 34

Evaluate the expression.​

​a.b.c.d.

1 points   

QUESTION 35

A country is not building many nuclear plants, but the ones it has are running at nearly full capacity. The output (as a percent of total capacity) of nuclear plants is described by the equation



where t is measured in years, with corresponding to the beginning of 1990.

If the utilization of nuclear power continues to grow at the same rate and the total capacity of nuclear plants in the country remains constant, by what year can the plants be expected to be generating at maximum capacity?
 

a.2002

b.2015

c.2004

d.2005

e.2001

1 points   

QUESTION 36

A server purchased at a cost of $80,000 in 2002 has a scrap value of $16,000 at the end of 4 years. Find the linear equation expressing the server's book value at the end of t years.
 

a.

b.

c.

d.

e.

1 points   

QUESTION 37

How many days will it take for a sum of $9,000 to earn $90 interest if it is deposited in a bank paying ordinary simple interest at the rate of 5%/year? (Use a 365-day year.)


​a.It will take 73 days for a sum of $9,000 to earn $90.

b.It will take 438 days for a sum of $9,000 to earn $90.

c.It will take 123 days for a sum of $9,000 to earn $90.

d.It will take 53 days for a sum of $9,000 to earn $90.

1 points   

QUESTION 38

Sketch a set of coordinate axes and plot the given point.

(5, 5)
a.b.c.d.

1 points   

QUESTION 39

Let and  be two nonvertical straight lines in the plane with equations and , respectively. Find conditions on , , and so that and   intersect at infinitely many points.
a. and

b.

c.

d. and

1 points   

QUESTION 40

List the elements of the given set in roster notation.​

​a.

b.

c.

d.

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