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LuckyWell [14K]
3 years ago
11

Using the substitution theorem and the important equivalences (handout) show the following equivalence. Use only one substitutio

n/equivalence rule (such as absorption) per step and justify each step by name'
Business
1 answer:
vlada-n [284]3 years ago
6 0

Answer:

Explanation:

Commutative laws: p ∧ q ≡ q ∧ p

p ∨ q ≡ q ∨ p

Associative laws: (p ∧ q) ∧ r ≡ p ∧ (q ∧ r)

(p ∨ q) ∨ r ≡ p ∨ (q ∨ r)

Distributive laws: p ∧ (q ∨ r) ≡ (p ∧ q) ∨ (p ∧ r)

p ∨ (q ∧ r) ≡ (p ∨ q) ∧ (p ∨ r)

Identity laws: p ∧ t ≡ p

p ∨ c ≡ p

Negation laws: p ∨ ∼p ≡ t

p ∧ ∼p ≡ c

Double negative law: ∼(∼p) ≡ p

Idempotent laws: p ∧ p ≡ p

p ∨ p ≡ p

Universal bound laws: p ∨ t ≡ t

p ∧ c ≡ c

De Morgan’s laws: ∼(p ∧ q) ≡ ∼p ∨ ∼q

∼(p ∨ q) ≡ ∼p ∧ ∼q

Absorption laws: p ∨ (p ∧ q) ≡ p

p ∧ (p ∨ q) ≡ p

Negations of t and c: ∼t ≡ c

∼c ≡ t

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The issues of training, absenteeism , productivity and morale should be agreed upon at the first level of supervisors.

The first line supervisor can manage concerns like as training, absenteeism, productivity, and morale . With the growth of unions, hiring and firing have grown increasingly difficult for first-line supervisors to handle. Hiring and, more crucially, dismissal should be prioritized to avoid disputes. Disciplinary action is often handled by first line supervision in a non-union context. It should be elevated in a union setting. Elevation would guarantee that all of the ducks are in a row to avoid a complaint and save the company money on any monetary settlements.

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3 years ago
According to the Securities Act of 1933, an individual who participates in the original distribution of securities by selling su
mamaluj [8]

Answer:

D. underwriter

Explanation:

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Explain why the concept of an organization as an iceberg is important.
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3 years ago
Laurel, Inc., and Hardy Corp. both have 6 percent coupon bonds outstanding, with semiannual interest payments, and both are curr
stealth61 [152]

Answer:

A. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of these bonds?

Laurel, Inc. = -8.11%

Hardy Corp. = -18.91%

B. If interest rates were to suddenly fall by 2 percent instead, what would the percentage change in the price of these bonds be then?

Laurel, Inc. = +8.98%

Hardy Corp. = +25.49%

Explanation:

bonds with 6% semiannual coupons, sold at par $1,000

Laurel, Inc. bond maturity in 5 years

Hardy Corp. bond maturity in 18 years

the current price of a bond is the sum of the present value of its face value and coupons. I will use an annuity table to calculate PV of face value and an ordinary annuity table for the coupons:

Laurel, Inc.

market rate 4% = ($1,000 x 0.8203) + ($30 x 8.9826) = $820.30 + $269.48 = $1,089.78, % change = 89.78/1,000 = 8.98%

market rate 8% = ($1,000 x 0.6756) + ($30 x 8.1109) = $675.60 + $243.33 = $918.93, % change = -81.07/1,000 = -8.11%

Hardy Corp.

market rate 4% = ($1,000 x 0.4902) + ($30 x 25.489) = $490.20 + $764.67 = $1,254.87, % change = 254.87/1,000 = 25.49%  

market rate 8% = ($1,000 x 0.2437) + ($30 x 18.908) = $243.70 + $567.24 = $810.94, % change = -189.06/1,000 = -18.91%  

3 0
3 years ago
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