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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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kupik [55]
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5 0
3 years ago
Nissley Wedding Fantasy Corporation makes very elaborate wedding cakes to order. The owner of the company has provided the follo
Scrat [10]

Answer:

$62.00

Explanation:

Given data (Twersky Wedding):

Size-related:               $1.15/guest

Complexity-related:   $28.24/ tier

Order-related:            $74.74/order

Guests:                        120

Tiers                             5

Order                            1

Calculations:

Size related ($1.15 per guest × 120 guests):            $138.00

Complexity-related ($28.24 per tier × 5 tiers):        $141.20

Order-related ($74.74 per order × 1 order):             $74.74

Cost of purchased decorations for cake:                $54.66

______________________________________________

Total cost                          $408.60

Charges                            $470.60

Overall margin = Charges - Total cost = $470.60 - $408.60 = $62.00

Hope this helps!

6 0
3 years ago
A Super Happy Fun Ball is dropped from a height of 10 feet and rebounds 13/14 of the distance from which it fell. How many times
Phantasy [73]

Answer:

32

Explanation:

First bounce = 13 / 14 × 10 = 130 /14

using geometric progression where the common ratio = 13/14, the first bound = 130/14

ar^n-1 < 1

substitute the values into the equation

130 /14 × 13/14^(n-1) < 1

(13/14)^n-1 < 1÷ (130/14)

(13/14)^n-1 < 14 / 130

take log of both side

log (13 /14)^n-1 < log ( 14/130)

n-1 log (13 /14) < log  ( 14/130)

since log (13/14) negative

n-1 > (log( 14/130)) ÷ ( log (13/14)

n - 1 > 30.07

n > 30.07 + 1 > 31.07

The 32 bounce will the first less than 1 foot

3 0
3 years ago
It is reported that an annuity-immediate with $100 annual payments for s years has an accumulated value of $933.52 at the time o
Gre4nikov [31]

Answer:

Check the explanation

Explanation:

The Expressed accumulated value<em><u> (which is the overall sum an investment holds at present, which also includes the capital that was invested and the gain it has received to date. The accumulated value can also be referred to as an cash value.)</u></em> of this third annuity at the time of its last payment can be seen in the attached image below:

8 0
3 years ago
On January 1, Puckett Company paid $2.97 million for 99,000 shares of Harrison’s voting common stock, which represents a 40 perc
Ira Lisetskai [31]

Answer:

Balance of Harrison's Investment in Puckett's Financial Records

= $2,905,000

Explanation:

To calculate the balance of Harrison's account in Puckett's financial records the following steps are applied.

Step 1: Calculate the percentage of reported Income that accruees to Harrsion in Puckett

=Reported Net Profit x Percent Investement of Harrison in Puckett

= $580,000 x 0.40= $232,000

Step 2: Calculate the Dividend Accrued to Harrison's Common Stok basd on the $3 dividend per share declared

= Total Number of Shares for Harrison x $3

=99,000 Shares x $3= $297,000

Final Step: Calcuate the balance of Harrision's Investment in Puckett

= Amount paid for 99,000 stock + Percentage of Reported Income Accrued to Harrison- Harrison's portion of Dividend declared

= $2,970,000 + $232,000- $297,000

= $2,905,000

7 0
3 years ago
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