# FInite Math Mid

**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**

- 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**

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

a.*r* - b.
*s, t* - c.
*x, y* - d.
*v* - e.

**1 points **

**QUESTION 17**

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

**Annual Sales,** * y*5.86.27.28.59

**Year,**

*12345Plot the annual sales (*

**x***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 **