Answer:
(4, 0)
Step-by-step explanation:
given the 2 equations
y = x - 4 → (1)
- 4x - 6y = - 16 → (2)
substitute y = x - 4 into (2)
- 4x - 6(x - 4) = - 16
- 4x - 6x + 24 = - 16
- 10x + 24 = - 16 ( subtract 24 from both sides )
- 10x = - 40 ( divide both sides by - 10 )
x = 4
substitute x = 4 into (1) for corresponding value of y
y = 4 - 4 = 0
solution is (4, 0)
Answer:
x < 9
Step-by-step explanation:
Writing this entirely with symbols, we get:
-5(x - 1) > -40
We must solve for x.
Carrying out the multiplication, we get:
-5x + 5 > -40, or
-5x > -45
Dividing both sides by -5 isolates x:
x < 9
Note that when working with an inequality such as this one, dividing both sides by a negative number requires changing the direction of the inequality symbol.
Answer:
$56.875
Step-by-step explanation:
Given that :
Amount invested = principal, p = 3500
Interest rate, r = 6.5% = 0.065
Penalty on withdrawal = 3 month simple interest
Simple interest = principal * rate * time
Time = 3 months = 3/12 = 0.25 years
Hence,
Simple interest = 3500 * 0.065 * 0.25
Simple interest = $56.875
Hence, penalty paid = $56.875
The answer is A. He can only work 2 more days with 8 hours a day
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