Question 1

Amy contributed $170 per month for 10 years to an account that paid 5% for the first 5 years, but 6.7% for the last 5 years.How much has she saved?

Accepted Answer

A) $28,233.35 
B) $26,988.78 
C) $28,223.34 
D) $28,235.34 
A) $28,233.35 
B) $26,988.78 
C) $28,223.34 
D) $28,235.34

Question 2

Write the first six terms of the arithmetic sequence with the given properties. $a = 3,3$ rd term is $- 5$

Accepted Answer

A)  $\quad 7,3 , - 5 , - 5 , - 9 , - 13$ 
B)  $\quad 3,7 , - 5,15,19,23$ 
C)  $\quad 7,11 , - 5,19,23,27$ 
D)  $\quad 3 , - 1 , - 5 , - 9 , - 13 , - 17$ 
E)  none of the above 
A)  $\quad 7,3 , - 5 , - 5 , - 9 , - 13$ 
B)  $\quad 3,7 , - 5,15,19,23$ 
C)  $\quad 7,11 , - 5,19,23,27$ 
D)  $\quad 3 , - 1 , - 5 , - 9 , - 13 , - 17$ 
E)  none of the above

Question 3

Property in suburbs closer to the city is appreciating about 7% annually.If this trend continues, what will a $33,000 one-acre lot be worth in five years? Give the result to the nearest dollar.

Accepted Answer

A) $46,284 
B) $50,605 
C) $47,518 
D) $46,901 
E) $47,496 
A) $46,284 
B) $50,605 
C) $47,518 
D) $46,901 
E) $47,496

Question 4

Write the first six terms of the arithmetic sequence with the given properties. 7th term is 23; common difference is 3

Accepted Answer

A)  $\quad 5,8,11,14,17,20$ 
B)  $\quad 23,38,35,32,29,26$ 
C)  $\quad - 1,3,7,11,15,19$ 
D)  $\quad 5,11,14,17,20,28$ 
E)  $\quad 6,9,12,15,18,21$ 
A)  $\quad 5,8,11,14,17,20$ 
B)  $\quad 23,38,35,32,29,26$ 
C)  $\quad - 1,3,7,11,15,19$ 
D)  $\quad 5,11,14,17,20,28$ 
E)  $\quad 6,9,12,15,18,21$

Question 5

Assume that $1,400 is deposited in an account in which interest is compounded annually at a rate of 8%.Find the accumulated amount after 2 years rounded to the nearest cent.

Accepted Answer

A) $1,532.96 
B) $1,582.96 
C) $1,632.96 
D) $2,032.96 
E) $1,732.96 
A) $1,532.96 
B) $1,582.96 
C) $1,632.96 
D) $2,032.96 
E) $1,732.96

Question 6

Find the present value of an annuity with semiannual payments of $400 at 4.22%, compounded semiannually for 15 years.Round to the nearest cent.

Accepted Answer

A)  $\quad P V = \$ 8,824.55$ 
B)  $\quad P V = \$ 12,253.20$ 
C)  $\quad P V = \$ 16,509.77$ 
D)  $\quad P V = \$ 9,707.01$ 
E)  $\quad P V = \$ 17,649.10$ 
A)  $\quad P V = \$ 8,824.55$ 
B)  $\quad P V = \$ 12,253.20$ 
C)  $\quad P V = \$ 16,509.77$ 
D)  $\quad P V = \$ 9,707.01$ 
E)  $\quad P V = \$ 17,649.10$

Question 7

The number of students studying algebra at State College is 543.The Department Chair expects enrollment to increase 13% each year.How many professors will be needed in 5 years to teach algebra
If one professor can handle 70 students?

Accepted Answer

A) 12 professors 
B) 17 professors 
C) 14 professors 
D) 28 professors 
E) 13 professors 
A) 12 professors 
B) 17 professors 
C) 14 professors 
D) 28 professors 
E) 13 professors

Question 8

How many lines are determined by 9 points if no 3 points lie on a straight line?

Accepted Answer

A) 29 
B) 25 
C) 32 
D) 36 
E) 72 
A) 29 
B) 25 
C) 32 
D) 36 
E) 72

Question 9

Amy contributed $130 per month for 6 years to an account that paid 4% for the first 3 years, but 7.5% for the last 3 years.How much has she saved?

Accepted Answer

A)  $ \$ 10,207.20$ 
B)  $ \$ 11,441.76$ 
C)  $\$ 11,451.77$ 
D)  $\$ 11,453.76$ 
A)  $ \$ 10,207.20$ 
B)  $ \$ 11,441.76$ 
C)  $\$ 11,451.77$ 
D)  $\$ 11,453.76$

Question 10

Find the amount of each regular payment to provide $7,000 in 3 years, at an annual rate r = 9%, compounded monthly.

Accepted Answer

A) $175.55 
B) $151.85 
C) $181.00 
D) $186.45 
E) $170.10 
A) $175.55 
B) $151.85 
C) $181.00 
D) $186.45 
E) $170.10

Question 11

Evaluate the expression. $P ( 9,4 ) \cdot C ( 9,9 )$

Accepted Answer

A)  15,120 
B)  45,722,880 
C)  5 
D)  1,097,349,120 
E)  3,024 
A)  15,120 
B)  45,722,880 
C)  5 
D)  1,097,349,120 
E)  3,024

Question 12

Find the amount of each regular payment to provide $9,500 in 4 years, at an annual rate r = 9%, compounded monthly.

Accepted Answer

A) $165.16 
B) $145.96 
C) $172.96 
D) $180.76 
E) $179.66 
A) $165.16 
B) $145.96 
C) $172.96 
D) $180.76 
E) $179.66

Question 13

5 words are to be paired with the correct 5 out of 15 possible definitions.How many ways are there of guessing?

Accepted Answer

A) 3,003 
B) 6,006 
C) 2,703 
D) 2,102 
E) 2,402 
A) 3,003 
B) 6,006 
C) 2,703 
D) 2,102 
E) 2,402

Question 14

Find the 5th term in the binomial expansion. $$( a + \sqrt { 6 } d ) ^ { 9 }$$

Accepted Answer

A)  $\quad 504 a ^ { 5 } d ^ { 4 }$ 
B)  $\quad 6,340 a ^ { 6 } d ^ { 3 }$ 
C)  $\quad 4,536 a ^ { 5 } d ^ { 4 }$ 
D)  $4,536 a ^ { 4 } d ^ { 5 }$ 
E)  $\quad 6,340 a ^ { 5 } d ^ { 4 }$ 
A)  $\quad 504 a ^ { 5 } d ^ { 4 }$ 
B)  $\quad 6,340 a ^ { 6 } d ^ { 3 }$ 
C)  $\quad 4,536 a ^ { 5 } d ^ { 4 }$ 
D)  $4,536 a ^ { 4 } d ^ { 5 }$ 
E)  $\quad 6,340 a ^ { 5 } d ^ { 4 }$

Question 15

One lender offers two mortgages, a 19-year mortgage at 15%, and a 23-year mortgage at 6%.For each, find the total of the monthly payments to repay $114,200.Round to the nearest cent.

Accepted Answer

A)  19-year: $\$ 345,810.00,23$-year: $\$ 210,692.00$ 
B)  19-year: $\$ 345,830.88,23$-year: $\$ 210,815.29$ 
C)  19-year: $\$ 345,870.88,23$-year: $\$ 211,143.92$ 
D)  19-year: $\$ 328,539.33,23$-year: $\$ 210,815.29$ 
E)  19-year: $\$ 345,842.88,23$-year: $\$ 210,938.98$ 
A)  19-year: $\$ 345,810.00,23$-year: $\$ 210,692.00$ 
B)  19-year: $\$ 345,830.88,23$-year: $\$ 210,815.29$ 
C)  19-year: $\$ 345,870.88,23$-year: $\$ 211,143.92$ 
D)  19-year: $\$ 328,539.33,23$-year: $\$ 210,815.29$ 
E)  19-year: $\$ 345,842.88,23$-year: $\$ 210,938.98$

Question 16

Find the value of $1,300 left on deposit for 10 years at an annual rate of 6%, compounded quarterly.

Accepted Answer

A) $2,358.22 
B) $2,367.22 
C) $2,359.62 
D) $2,360.22 
E) $2,501.72 
A) $2,358.22 
B) $2,367.22 
C) $2,359.62 
D) $2,360.22 
E) $2,501.72

Question 17

A woman contributed $\$ 380$ per quarter for the first 10 years of an annuity, but changed to quarterly payments of $\$ 1,620$ for the last 10 years. Assuming $8 \frac { 1 } { 4 } \%$ annual interest compounded quarterly, what is her accumulated value?

Accepted Answer

A)  $\quad \$ 151,864.87$ 
B)  $\quad \$ 122,454.30$ 
C)  $\quad \$ 122,621.64$ 
D)  $\quad \$ 151,835.24$ 
A)  $\quad \$ 151,864.87$ 
B)  $\quad \$ 122,454.30$ 
C)  $\quad \$ 122,621.64$ 
D)  $\quad \$ 151,835.24$

Question 18

How many lines are determined by 10 points if no 3 points lie on a straight line?

Accepted Answer

A) 41 
B) 45 
C) 32 
D) 90 
E) 36 
A) 41 
B) 45 
C) 32 
D) 90 
E) 36

Question 19

To fund Jamie's lottery winnings of $10,400 per month for the next 20 years, the lottery commission needs to make a single deposit now.Assuming 9.5% compounded monthly, what should the deposit be?
Round to the nearest cent.

Accepted Answer

A) $1,115,706.48 
B) $1,115,746.48 
C) $1,115,739.28 
D) $1,059,936.64 
E) $1,115,722.78 
A) $1,115,706.48 
B) $1,115,746.48 
C) $1,115,739.28 
D) $1,059,936.64 
E) $1,115,722.78

Question 20

Find the sum of the first five terms of the sequence with the given general term. $5 k$

Accepted Answer

A)  25 
B)  75 
C)  159 
D)  79 
E)  30 
A)  25 
B)  75 
C)  159 
D)  79 
E)  30

Amy contributed $170 per month for 10 years to an account that paid 5% for the first 5 years, but 6.7% for the last 5 years.How much has she saved?

Write the first six terms of the arithmetic sequence with the given properties. $a = 3,3$ rd term is $- 5$

Property in suburbs closer to the city is appreciating about 7% annually.If this trend continues, what will a $33,000 one-acre lot be worth in five years? Give the result to the nearest dollar.

Write the first six terms of the arithmetic sequence with the given properties. 7th term is 23; common difference is 3

Assume that $1,400 is deposited in an account in which interest is compounded annually at a rate of 8%.Find the accumulated amount after 2 years rounded to the nearest cent.

Find the present value of an annuity with semiannual payments of $400 at 4.22%, compounded semiannually for 15 years.Round to the nearest cent.

The number of students studying algebra at State College is 543.The Department Chair expects enrollment to increase 13% each year.How many professors will be needed in 5 years to teach algebra If one professor can handle 70 students?

How many lines are determined by 9 points if no 3 points lie on a straight line?

Amy contributed $130 per month for 6 years to an account that paid 4% for the first 3 years, but 7.5% for the last 3 years.How much has she saved?

Find the amount of each regular payment to provide $7,000 in 3 years, at an annual rate r = 9%, compounded monthly.

Evaluate the expression. $P ( 9,4 ) \cdot C ( 9,9 )$

Find the amount of each regular payment to provide $9,500 in 4 years, at an annual rate r = 9%, compounded monthly.

5 words are to be paired with the correct 5 out of 15 possible definitions.How many ways are there of guessing?

Find the 5th term in the binomial expansion. $( a + \sqrt { 6 } d ) ^ { 9 }$

One lender offers two mortgages, a 19-year mortgage at 15%, and a 23-year mortgage at 6%.For each, find the total of the monthly payments to repay $114,200.Round to the nearest cent.

Find the value of $1,300 left on deposit for 10 years at an annual rate of 6%, compounded quarterly.

A woman contributed $\$ 380$ per quarter for the first 10 years of an annuity, but changed to quarterly payments of $\$ 1,620$ for the last 10 years. Assuming $8 \frac { 1 } { 4 } \%$ annual interest compounded quarterly, what is her accumulated value?

How many lines are determined by 10 points if no 3 points lie on a straight line?

To fund Jamie's lottery winnings of $10,400 per month for the next 20 years, the lottery commission needs to make a single deposit now.Assuming 9.5% compounded monthly, what should the deposit be? Round to the nearest cent.

Find the sum of the first five terms of the sequence with the given general term. $5 k$

A Review of Basic Algebra

Equations and Inequalities

The Rectangular Coordinate System and Graphs of Equations

Functions Functions and Function Notation

Exponential and Logarithmic Functions

Solving Polynomial Equations

Linear Systems

Conic Sections and Quadratic Systems

Filters

Exam 9: Natural Number Functions and Probability

Amy contributed $170 per month for 10 years to an account that paid 5% for the first 5 years, but 6.7% for the last 5 years.How much has she saved?

Write the first six terms of the arithmetic sequence with the given properties. a=3,3a = 3,3a=3,3 rd term is −5- 5−5

Property in suburbs closer to the city is appreciating about 7% annually.If this trend continues, what will a $33,000 one-acre lot be worth in five years? Give the result to the nearest dollar.

Write the first six terms of the arithmetic sequence with the given properties. 7th term is 23; common difference is 3

Assume that $1,400 is deposited in an account in which interest is compounded annually at a rate of 8%.Find the accumulated amount after 2 years rounded to the nearest cent.

Find the present value of an annuity with semiannual payments of $400 at 4.22%, compounded semiannually for 15 years.Round to the nearest cent.

The number of students studying algebra at State College is 543.The Department Chair expects enrollment to increase 13% each year.How many professors will be needed in 5 years to teach algebra If one professor can handle 70 students?

How many lines are determined by 9 points if no 3 points lie on a straight line?

Amy contributed $130 per month for 6 years to an account that paid 4% for the first 3 years, but 7.5% for the last 3 years.How much has she saved?

Find the amount of each regular payment to provide $7,000 in 3 years, at an annual rate r = 9%, compounded monthly.

Evaluate the expression. P(9,4)⋅C(9,9)P ( 9,4 ) \cdot C ( 9,9 )P(9,4)⋅C(9,9)

Find the amount of each regular payment to provide $9,500 in 4 years, at an annual rate r = 9%, compounded monthly.

5 words are to be paired with the correct 5 out of 15 possible definitions.How many ways are there of guessing?

Find the 5th term in the binomial expansion. (a+6d)9( a + \sqrt { 6 } d ) ^ { 9 }(a+6​d)9

One lender offers two mortgages, a 19-year mortgage at 15%, and a 23-year mortgage at 6%.For each, find the total of the monthly payments to repay $114,200.Round to the nearest cent.

Find the value of $1,300 left on deposit for 10 years at an annual rate of 6%, compounded quarterly.

A woman contributed $380\$ 380$380 per quarter for the first 10 years of an annuity, but changed to quarterly payments of $1,620\$ 1,620$1,620 for the last 10 years. Assuming 814%8 \frac { 1 } { 4 } \%841​% annual interest compounded quarterly, what is her accumulated value?

How many lines are determined by 10 points if no 3 points lie on a straight line?

To fund Jamie's lottery winnings of $10,400 per month for the next 20 years, the lottery commission needs to make a single deposit now.Assuming 9.5% compounded monthly, what should the deposit be? Round to the nearest cent.

Find the sum of the first five terms of the sequence with the given general term. 5k5 k5k

A Review of Basic Algebra

Equations and Inequalities

The Rectangular Coordinate System and Graphs of Equations

Functions Functions and Function Notation

Exponential and Logarithmic Functions

Solving Polynomial Equations

Linear Systems

Conic Sections and Quadratic Systems

Filters

Write the first six terms of the arithmetic sequence with the given properties. $a = 3,3$ rd term is $- 5$

Evaluate the expression. $P ( 9,4 ) \cdot C ( 9,9 )$

Find the 5th term in the binomial expansion. $( a + \sqrt { 6 } d ) ^ { 9 }$

A woman contributed $\$ 380$ per quarter for the first 10 years of an annuity, but changed to quarterly payments of $\$ 1,620$ for the last 10 years. Assuming $8 \frac { 1 } { 4 } \%$ annual interest compounded quarterly, what is her accumulated value?

Find the sum of the first five terms of the sequence with the given general term. $5 k$