Answer:
The conclusion "T" logically follows from the premises given and the argument is valid
Step-by-step explanation:
Let us use notations to represent the steps
P: I take a bus
Q: I take the subway
R: I will be late for my appointment
S: I take a taxi
T: I will be broke
The given statement in symbolic form can be written as,
(P V Q) → R
S → (¬R ∧ T)
(¬Q ∧ ¬P) → S
¬R
___________________
∴ T
PROOF:
1. (¬Q ∧ ¬P) → S Premise
2. S → (¬R ∧ T) Premise
3. (¬Q ∧ ¬P) → (¬R ∧ T) (1), (2), Chain Rule
4. ¬(P ∨ Q) → (¬R ∧ T) (3), DeMorgan's law
5. (P ∨ Q) → R Premise
6. ¬R Premise
7. ¬(P ∨ Q) (5), (6), Modus Tollen's rule
8. ¬R ∧ T (4), (7), Modus Ponen's rule
9. T (8), Rule of Conjunction
Therefore the conclusion "T" logically follows from the given premises and the argument is valid.
$11,000 will bet the cost in 7 years
Given:
Original cost: $25,000
Depreciation rate: 8%
Term: 7 years
Formula for Depreciation:
A = C ( 1 - ( r ) (t) )
A = Future Value
C = Original Cost
r = rate
t = term
Solution:
Substitute the given values to the formula for depreciation.
A = $25,000( 1 - ( 0.08)(7))
A = $25,000( 1 - .56 )
A = $25,000(0.44 )
A = $11,000
Answer:
x = 2.5 or 7.5
Step-by-step explanation:
Subtract 3/4.
|5 -x| = 10/4 = 2.5
This resolves to two equations:
- 5 -x = 2.5 ⇒ x = 5 -2.5 = 2.5
- 5 -x = -2.5 ⇒ x = 5 +2.5 = 7.5
The solutions are x = 2.5 or 7.5.
Answer:
11.9375 and just round it
Step-by-step explanation:
multiply 8 pounds to 16 to get ounces and then add three and 60(5 x 12) and then add all of it together and then divide it to 16 to get 11.94 pounds or however you want to round it. If you need more a more deeper explanation just ask.
