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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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If the unemployment rate is 5.8% and the number of unemployed persons is 15 million, the labor force is approximately:__________
Delicious77 [7]

Answer: 258 million

Explanation:

The labor force refers to the number of people who are employed and the unemployed who are also looking for work.

Let the labor force be represented by x. Based on the question given, we can form an equation which will be:

5.8% of x = 15 million

0.058x = 15 million

x = 15million / 0.058

x = 258 million

Therefore, the labor force is approximately 258 million.

6 0
3 years ago
Plz, help ASAP!!!!!!
Cerrena [4.2K]
<h2>Grants are typically needs-based while scholarships are typically merit-based. </h2>

Explanation:

Option 1:

This is invalid because grands are usually need based and scholarships are usually merit-based.

Option 2:

This is the right answer.

Grants are often given considering the family background in terms of financial situation.

Merit-based are often based on GPA that the student secure

Option 3:

This stands invalid because you need not write any essay.

Option 4:

This is also invalid because both Federal and state governments offer both Grants and merit-based scholarships.

5 0
4 years ago
Suppose nominal GDP in 2006 was $14460 billion. If the current year price index is 127. What was the real GDP for 2006 (in billi
Musya8 [376]

Answer:

$113.86 billion

Explanation:

Real GDP = nominal GDP/ price index

Real GDP =  $14460 billion / 127 = $113.86 billion

I hope my answer helps you

7 0
3 years ago
If a firm's average total cost decreases as the firm increases its output, the firm's marginal cost must be
Arlecino [84]

Answer:

Less than average total Cost

Explanation:

Average total cost can be estimated as

(total fixed cost as well as variable costs )/ ( total units produced). It has a great impact on how a business is going to set up the price of their products. Marginal cost is can be regarded as alteration in total cost as a result of increase in unit of quantity produced. It should be noted that If a firm's average total cost decreases as the firm increases its output, the firm's marginal cost must be Less than the average total cost

8 0
3 years ago
A process has low fixed costs and high variable costs. It is currently capacity-constrained. Will the impact of an efficiency im
Lubov Fominskaja [6]

Answer:

Small

Explanation:

Fixed costs are the costs that do not change when output level changes, while variable costs are costs that change as output quantity changes.

When a production process is capacity constrained, it implies that there is a factor that does not allow it to produce more output. Examples of such factors are minor bottlenecks, constrained designs and resources, and others.

A process is said to be efficient when it can avoid waste of resources in producing desired output.

Efficiency improvement therefore occurs when more output can be produced with less resources.

In the question, given that the process is currently capacity-constrained, efficiency improvement will result in producing more output at higher costs because of high variable costs despite that the process has low fixed costs.

As a result, the impact of an efficiency improvement will be small because producing more output will result in incurring higher cost due to high variable costs that change as quantity of output changes. That is, the impact of efficiency improvement will be small because high variable costs with low fixed cost will result in higher production cost.

3 0
3 years ago
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