Question 1

If there are 7 class periods in a school day, and a typical student takes 4 classes, how many different time patterns are possible for the student?

Accepted Answer

A) 70 
B) 105 
C) 33 
D) 32 
E) 35 
A) 70 
B) 105 
C) 33 
D) 32 
E) 35

Question 2

Assume that $1,200 is deposited in an account in which interest is compounded annually at a rate of 5%.Find the accumulated amount after 10 years rounded to the nearest cent.

Accepted Answer

A) $1,854.67 
B) $1,954.67 
C) $1,904.67 
D) $2,054.67 
E) $2,354.67 
A) $1,854.67 
B) $1,954.67 
C) $1,904.67 
D) $2,054.67 
E) $2,354.67

Question 3

The managers of a pension fund invested $2 million in government bonds paying 8.52% annual interest, compounded semiannually.After 4 years, what will the investment be worth? Round your answer to
The nearest thousand dollars.

Accepted Answer

A) $2.792 million 
B) $3.942 million 
C) $5.932 million 
D) $3.792 million 
E) none of the above 
A) $2.792 million 
B) $3.942 million 
C) $5.932 million 
D) $3.792 million 
E) none of the above

Question 4

Assume that $800 is deposited in an account in which interest is compounded annually at a rate of 5%. Find the accumulated amount after 11 years rounded to the nearest cent.

Accepted Answer

A) $1,768.27 
B) $1,368.27 
C) $1,268.27 
D) $1,468.27 
E) $1,318.27 
A) $1,768.27 
B) $1,368.27 
C) $1,268.27 
D) $1,468.27 
E) $1,318.27

Question 5

Evaluate the sum. $$\sum _ { k = 2 } ^ { 5 } 2 k$$

Accepted Answer

A)  2 
B)  56 
C)  28 
D)  5 
E)  none of these 
A)  2 
B)  56 
C)  28 
D)  5 
E)  none of these

Question 6

Find the periodic payment required to repay $27,480 over 12 years, with monthly payments at a 9% annual rate.Round to the nearest cent.

Accepted Answer

A)  $\quad P = \$ 400.25$ 
B)  $\quad P = \$ 444.01$ 
C)  $\quad P = \$ 312.73$ 
D)  $\quad P = \$ 268.97$ 
E)  none of the above 
A)  $\quad P = \$ 400.25$ 
B)  $\quad P = \$ 444.01$ 
C)  $\quad P = \$ 312.73$ 
D)  $\quad P = \$ 268.97$ 
E)  none of the above

Question 7

Find the periodic payment required to repay $1,870 repaid in 15 monthly installments, at an annual rate of 17%.Round to the nearest cent.

Accepted Answer

A)  $\quad P = \$ 125.33$ 
B)  $\quad P = \$ 310.10$ 
C)  $\quad P = \$ 278.52$ 
D)  $\quad P = \$ 139.26$ 
E)  $\quad P = \$ 181.07$ 
A)  $\quad P = \$ 125.33$ 
B)  $\quad P = \$ 310.10$ 
C)  $\quad P = \$ 278.52$ 
D)  $\quad P = \$ 139.26$ 
E)  $\quad P = \$ 181.07$

Question 8

Find the effective interest rate given an annual rate of 8% and a compounding frequency of 8.Round your answer to two decimal places.

Accepted Answer

A) 8.31% 
B) 8.24% 
C) 8.27% 
D) 8.29% 
E) 8.34% 
A) 8.31% 
B) 8.24% 
C) 8.27% 
D) 8.29% 
E) 8.34%

Question 9

Find the sum of the first five terms of the sequence with the given general term. $3 k$

Accepted Answer

A)  52 
B)  45 
C)  100 
D)  18 
E)  15 
A)  52 
B)  45 
C)  100 
D)  18 
E)  15

Question 10

Jim will retire in 30 years.He will invest $200 each month for 15 years and then let the accumulated value continue to grow for the next 15 years.How much will be available at retirement? Assume 11%,
Compounded monthly.Round to the nearest dollar.

Accepted Answer

A)  $\quad \$ 469,966$ 
B)  $\$ 422,933$ 
C)  $\quad \$ 446,482$ 
D)  $\$ 451,127$ 
E)  $\quad \$ 469,924$ 
A)  $\quad \$ 469,966$ 
B)  $\$ 422,933$ 
C)  $\quad \$ 446,482$ 
D)  $\$ 451,127$ 
E)  $\quad \$ 469,924$

Question 11

Use the binomial theorem to expand the binomial. $$( a + b ) ^ { 3 }$$

Accepted Answer

A)  $\quad a ^ { 3 } + 3 a ^ { 2 } b + 3 a b ^ { 2 } + b ^ { 3 }$ 
B)  $\quad a ^ { 3 } + b ^ { 3 }$ 
C)  $\quad a ^ { 3 } + 2 a ^ { 2 } b + 2 a b ^ { 2 } + b ^ { 3 }$ 
D)  $\quad a ^ { 3 } + a ^ { 2 } b + a b ^ { 2 } + b ^ { 3 }$ 
E)  none of the above 
A)  $\quad a ^ { 3 } + 3 a ^ { 2 } b + 3 a b ^ { 2 } + b ^ { 3 }$ 
B)  $\quad a ^ { 3 } + b ^ { 3 }$ 
C)  $\quad a ^ { 3 } + 2 a ^ { 2 } b + 2 a b ^ { 2 } + b ^ { 3 }$ 
D)  $\quad a ^ { 3 } + a ^ { 2 } b + a b ^ { 2 } + b ^ { 3 }$ 
E)  none of the above

Question 12

If a married couple invests $1,900 in a 1-year certificate of deposit at 5% annual interest, compounded daily, how much interest will be earned during the year?

Accepted Answer

A) $97.41 
B) $97.81 
C) $98.41 
D) $68.19 
E) $98.21 
A) $97.41 
B) $97.81 
C) $98.41 
D) $68.19 
E) $98.21

Question 13

Find the amount of each regular payment to provide $6,000 in 7 years, at an annual rate r = 8%, compounded annually.

Accepted Answer

A) $687.58 
B) $684.73 
C) $672.43 
D) $680.01 
E) $657.13 
A) $687.58 
B) $684.73 
C) $672.43 
D) $680.01 
E) $657.13

Question 14

Find the present value of $90,000 due in 7 years, given an annual rate of 5% compounded monthly. Round tour answer to the nearest cent.

Accepted Answer

A) $63,468.26 
B) $63,468.06 
C) $63,167.41 
D) $63,568.46 
E) $63,368.06 
A) $63,468.26 
B) $63,468.06 
C) $63,167.41 
D) $63,568.46 
E) $63,368.06

Question 15

Find the 5th term in the binomial expansion. $( a - b ) ^ { n }$

Accepted Answer

A)  $\frac { n ! } { ( n - 5 ) ! 5 ! } a ^ { n - 5 } b ^ { 5 }$ 
B)  $\quad \frac { ( n - 4 ) ! } { ( n - 4 ) ! 4 ! } a ^ { n - 4 } b ^ { 4 }$ 
C)  $\frac { n ! } { ( n - 4 ) ! 4 ! } a ^ { n - 4 } b ^ { 4 }$ 
D)  $\frac { n ! } { ( n - 4 ) ! } a ^ { n - 4 } b ^ { 4 }$ 
E)  $\frac { n ! } { ( n - 5 ) ! 5 ! } a ^ { n - 5 } b ^ { n }$ 
A)  $\frac { n ! } { ( n - 5 ) ! 5 ! } a ^ { n - 5 } b ^ { 5 }$ 
B)  $\quad \frac { ( n - 4 ) ! } { ( n - 4 ) ! 4 ! } a ^ { n - 4 } b ^ { 4 }$ 
C)  $\frac { n ! } { ( n - 4 ) ! 4 ! } a ^ { n - 4 } b ^ { 4 }$ 
D)  $\frac { n ! } { ( n - 4 ) ! } a ^ { n - 4 } b ^ { 4 }$ 
E)  $\frac { n ! } { ( n - 5 ) ! 5 ! } a ^ { n - 5 } b ^ { n }$

Question 16

How many license plates can be made using 2 different letters followed by 3 different digits if the first digit cannot be 0 and the letter O is not used?

Accepted Answer

A)   388,800 
B)  1,215,000 
C)  810,000 
D)  272,160 
E)  none of the above 
A)   388,800 
B)  1,215,000 
C)  810,000 
D)  272,160 
E)  none of the above

Question 17

Verify whether $1 + 2 + 3 + \ldots + n = \frac { n } { 2 } ( n + 1 )$ is true for $n = 3$.

Accepted Answer

A)  yes 
B)  no 
A)  yes 
B)  no

Question 18

At the birth of their child, the Fieldsons deposited $3000 in an account paying 5% interest, compounded quarterly.How much will be available when the child turns 11?

Accepted Answer

A) $5,282.60 
B) $5,081.52 
C) $5,182.06 
D) $5,482.46 
E) $2,591.03 
A) $5,282.60 
B) $5,081.52 
C) $5,182.06 
D) $5,482.46 
E) $2,591.03

Question 19

The last payment of a home mortgage is a balloon payment of $23,000 which the owner is scheduled to pay in 24 years.How much extra should he start including in each monthly payment to eliminate the
Balloon payment? His mortgage is at 9.4%, compounded monthly.Round to the nearest cent.

Accepted Answer

A) $19.16 
B) $33.89 
C) $44.44 
D) $21.29 
E) $48.44 
A) $19.16 
B) $33.89 
C) $44.44 
D) $21.29 
E) $48.44

Question 20

Find the r th term in the binomial expansion. $$( z + d ) ^ { n }$$

Accepted Answer

A)  $\frac { n ! } { ( n - r ) ! r ! } z ^ { n - r } d ^ { r }$ 
B)  $\frac { n ! } { ( n + r - 1 ) ! ( r + 1 ) ! } z ^ { n + r - 1 } d ^ { r + 1 }$ 
C)  $\frac { n ! } { ( n - r + 1 ) ! ( r - 1 ) ! } z ^ { n - r } d ^ { r - 1 }$ 
D)  $\quad \frac { n ! } { ( n - r ) ! r ! } z ^ { n - r + 1 } d ^ { r - 1 }$ 
E)  $\frac { n ! } { ( n - r + 1 ) ! ( r - 1 ) ! } z ^ { n - r + 1 } d ^ { r - 1 }$ 
A)  $\frac { n ! } { ( n - r ) ! r ! } z ^ { n - r } d ^ { r }$ 
B)  $\frac { n ! } { ( n + r - 1 ) ! ( r + 1 ) ! } z ^ { n + r - 1 } d ^ { r + 1 }$ 
C)  $\frac { n ! } { ( n - r + 1 ) ! ( r - 1 ) ! } z ^ { n - r } d ^ { r - 1 }$ 
D)  $\quad \frac { n ! } { ( n - r ) ! r ! } z ^ { n - r + 1 } d ^ { r - 1 }$ 
E)  $\frac { n ! } { ( n - r + 1 ) ! ( r - 1 ) ! } z ^ { n - r + 1 } d ^ { r - 1 }$

If there are 7 class periods in a school day, and a typical student takes 4 classes, how many different time patterns are possible for the student?

Assume that $1,200 is deposited in an account in which interest is compounded annually at a rate of 5%.Find the accumulated amount after 10 years rounded to the nearest cent.

The managers of a pension fund invested $2 million in government bonds paying 8.52% annual interest, compounded semiannually.After 4 years, what will the investment be worth? Round your answer to The nearest thousand dollars.

Assume that $800 is deposited in an account in which interest is compounded annually at a rate of 5%. Find the accumulated amount after 11 years rounded to the nearest cent.

Evaluate the sum. $\sum _ { k = 2 } ^ { 5 } 2 k$

Find the periodic payment required to repay $27,480 over 12 years, with monthly payments at a 9% annual rate.Round to the nearest cent.

Find the periodic payment required to repay $1,870 repaid in 15 monthly installments, at an annual rate of 17%.Round to the nearest cent.

Find the effective interest rate given an annual rate of 8% and a compounding frequency of 8.Round your answer to two decimal places.

Find the sum of the first five terms of the sequence with the given general term. $3 k$

Jim will retire in 30 years.He will invest $200 each month for 15 years and then let the accumulated value continue to grow for the next 15 years.How much will be available at retirement? Assume 11%, Compounded monthly.Round to the nearest dollar.

Use the binomial theorem to expand the binomial. $( a + b ) ^ { 3 }$

If a married couple invests $1,900 in a 1-year certificate of deposit at 5% annual interest, compounded daily, how much interest will be earned during the year?

Find the amount of each regular payment to provide $6,000 in 7 years, at an annual rate r = 8%, compounded annually.

Find the present value of $90,000 due in 7 years, given an annual rate of 5% compounded monthly. Round tour answer to the nearest cent.

Find the 5th term in the binomial expansion. $( a - b ) ^ { n }$

How many license plates can be made using 2 different letters followed by 3 different digits if the first digit cannot be 0 and the letter O is not used?

Verify whether $1 + 2 + 3 + \ldots + n = \frac { n } { 2 } ( n + 1 )$ is true for $n = 3$ .

At the birth of their child, the Fieldsons deposited $3000 in an account paying 5% interest, compounded quarterly.How much will be available when the child turns 11?

The last payment of a home mortgage is a balloon payment of $23,000 which the owner is scheduled to pay in 24 years.How much extra should he start including in each monthly payment to eliminate the Balloon payment? His mortgage is at 9.4%, compounded monthly.Round to the nearest cent.

Find the r th term in the binomial expansion. $( z + d ) ^ { n }$

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

If there are 7 class periods in a school day, and a typical student takes 4 classes, how many different time patterns are possible for the student?

Assume that $1,200 is deposited in an account in which interest is compounded annually at a rate of 5%.Find the accumulated amount after 10 years rounded to the nearest cent.

The managers of a pension fund invested $2 million in government bonds paying 8.52% annual interest, compounded semiannually.After 4 years, what will the investment be worth? Round your answer to The nearest thousand dollars.

Assume that $800 is deposited in an account in which interest is compounded annually at a rate of 5%. Find the accumulated amount after 11 years rounded to the nearest cent.

Evaluate the sum. ∑k=252k\sum _ { k = 2 } ^ { 5 } 2 k∑k=25​2k

Find the periodic payment required to repay $27,480 over 12 years, with monthly payments at a 9% annual rate.Round to the nearest cent.

Find the periodic payment required to repay $1,870 repaid in 15 monthly installments, at an annual rate of 17%.Round to the nearest cent.

Find the effective interest rate given an annual rate of 8% and a compounding frequency of 8.Round your answer to two decimal places.

Find the sum of the first five terms of the sequence with the given general term. 3k3 k3k

Jim will retire in 30 years.He will invest $200 each month for 15 years and then let the accumulated value continue to grow for the next 15 years.How much will be available at retirement? Assume 11%, Compounded monthly.Round to the nearest dollar.

Use the binomial theorem to expand the binomial. (a+b)3( a + b ) ^ { 3 }(a+b)3

If a married couple invests $1,900 in a 1-year certificate of deposit at 5% annual interest, compounded daily, how much interest will be earned during the year?

Find the amount of each regular payment to provide $6,000 in 7 years, at an annual rate r = 8%, compounded annually.

Find the present value of $90,000 due in 7 years, given an annual rate of 5% compounded monthly. Round tour answer to the nearest cent.

Find the 5th term in the binomial expansion. (a−b)n( a - b ) ^ { n }(a−b)n

How many license plates can be made using 2 different letters followed by 3 different digits if the first digit cannot be 0 and the letter O is not used?

Verify whether 1+2+3+…+n=n2(n+1)1 + 2 + 3 + \ldots + n = \frac { n } { 2 } ( n + 1 )1+2+3+…+n=2n​(n+1) is true for n=3n = 3n=3 .

At the birth of their child, the Fieldsons deposited $3000 in an account paying 5% interest, compounded quarterly.How much will be available when the child turns 11?

The last payment of a home mortgage is a balloon payment of $23,000 which the owner is scheduled to pay in 24 years.How much extra should he start including in each monthly payment to eliminate the Balloon payment? His mortgage is at 9.4%, compounded monthly.Round to the nearest cent.

Find the r th term in the binomial expansion. (z+d)n( z + d ) ^ { n }(z+d)n

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

Evaluate the sum. $\sum _ { k = 2 } ^ { 5 } 2 k$

Find the sum of the first five terms of the sequence with the given general term. $3 k$

Use the binomial theorem to expand the binomial. $( a + b ) ^ { 3 }$

Find the 5th term in the binomial expansion. $( a - b ) ^ { n }$

Verify whether $1 + 2 + 3 + \ldots + n = \frac { n } { 2 } ( n + 1 )$ is true for $n = 3$ .

Find the r th term in the binomial expansion. $( z + d ) ^ { n }$