# I need help with these questions

**Question description**

7. Marsha is planning to buy a $10,000 used car after graduation. She will graduate in 4 years. How much money will she need to save quarterly if he invests in an account paying 8% compounded quarterly. (Assume she invests for the complete four years.)

A.) $536.50 B.) $549.32 C.) $570.32 D.) $521.59

9. Peter borrows $15,000 from the Schwartz Bank to purchase a car. The interest rate is 6.5% compounded monthly with payments due every month. If the loan is amortized over 4 years, how much are the monthly payments?

A.) $340.87 B.) $346.29 C.) $350.73 D.) $355.75

10. Mike and Carol borrowed $60,000 to buy their house (30 year mortgage). The monthly payments are $617.17 and the interest rate is 1% per month. What is the balance of their mortgage after 15 years?

A.) $51,422.09 B.) $32,546.05 C.) $33,106.56 D.) $34,398.28

11. Let P be the statement “Tiger is a dog”, and let Q be the statement “Fluffy is a cat”. Then which of the following statements represent (~P Λ ~Q).

A.) Tiger is not a dog, and Fluffy is a cat.

B.) Tiger is not a dog, and Fluffy is not a cat.
C.) Tiger is a cat, and Fluffy is a dog.

D.) Tiger is not a cat, and Fluffy is not a dog.

12. Let P be the statement “Sam will work at the butcher shop tonight”, and Q be the statement “Sam will go bowling tonight”. Then which of the following statements represent [~ (P V Q)]. Be careful on this one.

A.) Sam will work at the butcher shop tonight and Sam will go bowling.

B.) Sam will not work at the butcher shop tonight or Sam will not go bowling.

C.) Sam can’t work tonight or bowl tonight because he has a date with Alice.D.) Sam will not work at the butcher shop tonight and Sam will not go bowling tonight.

13. Is the following truth table correct or incorrect?

A.) Correct B.) Not Correct

14. Are the following two statements logically equivalent? (PQ) Λ (QR), and

(PR)

A.) Yes, they are logically equivalent.

B.) No, they are not logically equivalent.

15. Are the following two statements logically equivalent? p V (q Λ r), and

(p V q) Λ (p V r)

A.) Yes, they are logically equivalent. B.) No, they are not logically equivalent.

## Tutor Answer

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors