Exercise 5.4.3: proving two logical expressions are not logically equivalent. info about prove that the following pairs of expressions are not logically equivalent. (a) p → q and q → p (b) ¬p → q and ¬p ∨ q (c) (p → q) ∧ (r → q) and (p ∧ r) → q (d) p ∧ (p → q) and p ∨ q

The amount of money, in dollars, in an account after t years is given by a = 1000(1.03)^t. the initial deposit into the account was $_^a0 and the interest rate was _a1% per year. only enter numbers in the boxes. do not include any commas or decimal points^t. the initial deposit into the account was $__^a0 and the interest rate is % per year.

Fractions can be added and subtracted only if they're fractions. a. like b. proper c. improper d. unlike

Consider the system: y = 3x + 5 y = ax + b what values for a and b make the system inconsistent? what values for a and b make the system consistent and dependent? explain