Other Math Answers

E. Determine the truth value of the compound statement given that p is a false statement, q is a true statement, and r is a true statement

1. p ν ( ~q ν r)

2. r ^ ~(p ν r)

F. Use two truth tables to show that each of the statements are equivalent.

1. p ν( p ^ r ) Ξ p

2. p ν(q ^ ~p) Ξ p ν q

G. Use a truth table to determine whether the given statement is a tautology or a self contradiction.

1. p ν~ p

2. p ^ (~p ^ q

Find the kinematic viscosity of lubricanting oil specific gravity is o. 93 and viscosity is 0.1N-s/m^2

Solve the spherical triangle ABC, given A = 126° 18’ ,

C = 107° 42’ and b = 123° 20’. Find B, a, c

A. Solve the following problem

1. You open a checking account. You are paid 3% interest on the average balance but are charged a 7 monthly charge. Assuming that interest is paid monthly regardless of the number of days in the month, calculate the average daily balance you must maintain to offset the 7 monthly charge.

2. You decide to pay off a 9% 3,000 loan early. The bank tells you that you owe 111.70 interest. Assuming that the bank uses a 365 day year, for how many days are you being charged interest?

3. You borrow 200 from your aunt and agree to repay her 225 (200 principal + 25 interest) in 18 months. What interest rate are you paying.

B.

1. Twenty thousand pesos is a deposit in an account that pays 8% interest. Find the account balance after 10 years if the interest is compounded quarterly.

2. John deposit 5,000 pesos in a bank paying 12% compounded quarterly. After 4 years, John decided to close her account. How much money would she be able to get from bank?

A. Solve the following problem

1. You open a checking account. You are paid 3% interest on the average balance but are charged a 7 monthly charge. Assuming that interest is paid monthly regardless of the number of days in the month, calculate the average daily balance you must maintain to offset the 7 monthly charge.

2. You decide to pay off a 9% 3,000 loan early. The bank tells you that you owe 111.70 interest. Assuming that the bank uses a 365 day year, for how many days are you being charged interest?

3. You borrow 200 from your aunt and agree to repay her 225 (200 principal + 25 interest) in 18 months. What interest rate are you paying.

B.

1. Twenty thousand pesos is a deposit in an account that pays 8% interest. Find the account balance after 10 years if the interest is compounded quarterly.

2. John deposit 5,000 pesos in a bank paying 12% compounded quarterly. After 4 years, John decided to close her account. How much money would she be able to get from bank?

Answer the following items. Show your complete solution on a separate sheet of paper.

1.Let a and b be real numbers and let p, q, and r denote the following sentences:

Indicate whether each of the following compound sentences yields a true or false statement (A) when x = 2; (B) when x = -2.

a. p ↔ q

b.. p ↔ r

c. r → p

d. p →r

e.q ↔ r

f. q → p

g. r → q

h. q →r

What can you say about each of the above expressions a – h when x = 0?

2.Which of the above sentences in No. 1 become implications and which of them become equivalences, if the admissible values for x are:

a. all positive real numbers?

b.All negative real numbers?

C All real numbers?

a and b are the last 2 digits of your segi student id. example 1: sukd123564789, then a = 8, b = 9. thus rm 2ab = rm 289 example 2: sckd123564703, then a = 0, b = 3. thus rm 2ab = rm 203 instruction: write down the values of a, b and rm 2ab before solving the following questions. a computer shop is having an anniversary sale that offers 20 % discount on all the laptops. students will be given an additional rm 2ab rebate. let the original price of a particular brand of laptop be rm x.

A. Solve the following problem

1. You open a checking account. You are paid 3% interest on the average balance but are charged a 7 monthly charge. Assuming that interest is paid monthly regardless of the number of days in the month, calculate the average daily balance you must maintain to offset the 7 monthly charge.

2. You decide to pay off a 9% 3,000 loan early. The bank tells you that you owe 111.70 interest. Assuming that the bank uses a 365 day year, for how many days are you being charged interest?

3. You borrow 200 from your aunt and agree to repay her 225 (200 principal + 25 interest) in 18 months. What interest rate are you paying.

B.

1. Twenty thousand pesos is a deposit in an account that pays 8% interest. Find the account balance after 10 years if the interest is compounded quarterly.

2. John deposit 5,000 pesos in a bank paying 12% compounded quarterly. After 4 years, John decided to close her account. How much money would she be able to get from bank?