math true or false exam

Question 1

If you deposit $100 each month into an interest-bearing account, and if your little brother withdraws $125 each month from the same account, the account is annuitizing.
1 point

Answer 1

T

Question 1

Shortening the term of a loan lowers the monthly payments.

Answer 1

F

Question 2

In formula A, given below, the P stands for payments (in dollars).

I=Prt

Answer 2

F

Question 3

An investment that earns compound interest is the same as one that earns simple interest at the effective yield.

Answer 3

F

Question 4

If you deposit $200 each month into an interest-bearing account, and if your little brother withdraws $125 each month from the same account, the account is annuitizing.

Answer 4

F

Question 5

In formula G, given below, the n stands for the number of conversion periods per year.

P=R(1-(1+i)^-n/ i)

Answer 5

F

Question 6

In an account earning compound interest, the total value of the account grows linearly.

Answer 6

T

Question 7

If you invest $100 per month in an interest bearing account, then that account becomes a decreasing annuity the moment your investments stop.

Answer 7

F

Question 8

An investment that pays interest at 2% per year compounded twice a year has an effective yield of 4%.

Answer 8

F

Question 9

In an account earning compound interest, the total value of the account grows exponentially.

Answer 9

T

Question 10

Shortening the term of a loan lowers the total interest paid.

Answer 10

T

Question 11

In formula D, given below, the r stands for the nominal interest rate per year.

reff=(1+r/m)^m-1

Answer 11

T

Question 12

In a conventional mortgage, the percentage of the monthly payment that goes toward interest is the same each month.

Answer 12

F

Question 13

In a conventional mortgage, the lending institution is, in effect, making regular withdrawals from an annuity.

Answer 13

T

Question 14

An investment that earns compound interest is the same as one that is compounded annually at the effective yield.

Answer 14

T

Question 15

In a conventional mortgage, the percentage of the monthly payment that goes toward the principal increases each month.

Answer 15

T

Question 16

In an account earning simple interest, the interest from the first year is reinvested at the beginning of the second year.

Answer 16

F

Question 17

In an account earning simple interest, the total value of the account grows exponentially.

Answer 17

F

Question 18

In an account earning simple interest, the total value of the account grows linearly.

Answer 18

T

Question 19

If defined, a row times a column is always a 1 × 1 matrix.

Answer 19

T

Question 20

If the graphs of two linear equations are parallel and distinct, then there is a unique solution to the system.

Answer 20

F

Question 21

The given matrix is invertible.

1 1
3 3

Answer 21

F

Question 22

A 2 × 3 matrix has three columns and two rows

Answer 22

T

Question 23

If the row reduced form of the augmented matrix corresponding to a system of linear equations has a row of zeros, then there are infinitely many solutions.

Answer 23

F

Question 24

If a system of linear equations has infinitely many solutions, then it may be inconsistent.

Answer 24

F

Question 25

If a system of linear equations is inconsistent, then it has infinitely many solutions

Answer 25

F

Question 26

A row reduced matrix always has a 1 in the second column of the second row.

Answer 26

F

Question 27

A system of linear equations either has no solutions, one solution, or infinitely many solutions

Answer 27

T

Question 28

he transpose of a 5 × 6 matrix has six columns and five rows.

Answer 28

F

Question 29

In the row-reduced form of a matrix, the first nonzero entry in each row is a 1.

Answer 29

T

Question 30

If the graphs of two linear equations are distinct but not parallel, then there is a unique solution to the system.

Answer 30

T

Question 31

The ij-entry of the product AB is obtained by multiplying the i-th column of A by the j-th row of B

Answer 31

F

Question 32

If A is a 2 × 3 matrix and B is a 3 × 2 matrix, then the product AB is defined.

Answer 32

T

Question 33

If quantity x is twice quantity y, then x − 2y = 0

Answer 33

T

Question 34

If AB = 0, then either A or B is a zero matrix.

Answer 34

F

Question 35

The ij-entry of the product AB is obtained by multiplying the i-th row of A by the j-th column of B

Answer 35

T

Question 36

In a system of two linear equations, if two linear equations have the same graph, then the associated system has infinitely many solutions.

Answer 36

T

Question 37

If A is a 2 × 3 matrix and B is a 3 × 2 matrix, then the sum A+B is defined

Answer 37

F

Question 38

If quantity x is twice quantity y, then 2x − y = 0.

Answer 38

F

Question 39

Some row reduced matrices have a 0 in the top left-hand corner.

Answer 39

T